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   Of
        NOISE EMISSION
   MEASUREMENTS FOR
REGULATORY  PURPOSES
                            NBS HANDBOOK 122
U.S. DEPARTMENT OF COM MERGE/National Bureau of Standards
in cooperation with
U.S. ENVIRONMENTAL PROTECTION AGENCY/Office of Noise Abatement
and Control


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                                    NATIONAL BUREAU  OF  STANDARDS

The National Bureau of Standards1 was  established by an  act of Congress March 3, 1901. The Bureau's overall goal is to
strengthen and advance the Nation's science and technology  and facilitate their effective application for public benefit. To this
end, the Bureau conducts research and provides: (1) a basis for the Nation's physical measurement system,  (2) scientific and
technological services for industry and government, (3) a technical basis for equity in trade, and (4) technical services to pro-
mote public safety. The  Bureau consists of the Institute for Basic Standards, the Institute for Materials Research, the Institute
for Applied Technology, the Institute for  Computer Sciences and Technology, the Office for Information Programs, and the
Office of Experimental Technology Incentives Program,

THE INSTITUTE FOR BASIC STANDARDS provides the central basis within the United States of  a complete and consist-
ent system of physical measurement; coordinates that system with measurement systems of other nations; and furnishes essen-
tial services leading to accurate and uniform physical  measurements throughout the Nation's scientific  community,  industry,
and commerce. The  Institute consists of the  Office  of Measurement Services, and  the following center and divisions:
    Applied Mathematics — Electricity — Mechanics — Heat — Optical Physics — Center for Radiation Research — Lab-
    oratory Astrophysics2 — Cryogenics4 — Electromagnetics2 — Time and Frequency3.

THE INSTITUTE FOR MATERIALS RESEARCH conducts materials research  leading to improved  methods of measure-
ment, standards, and data on the properties of well-characterized materials needed by industry, commerce,  educational insti-
tutions, and Government; provides advisory and research services to other Government agencies;  and develops, produces, and
distributes standard reference materials. The  Institute consists of the Office of Standard Reference Materials, the Office of Air
and Water Measurement, and the following divisions:
     Analytical Chemistry — Polymers — Metallurgy — Inorganic Materials — Reactor Radiation — Physical Chemistry.

THE INSTITUTE FOR APPLIED TECHNOLOGY provides technical services developing  and  promoting the use of avail-
 able technology; cooperates with public and  private organizations in developing technological standards, codes, and test meth-
ods; and provides technical advice services, and information to Government agencies and the public. The Institute consists  of
the following divisions and centers:
     Standards Application and Analysis — Electronic  Technology — Center for Consumer Product Technology: Product
     Systems Analysis; Product Engineering — Center for Building Technology:  Structures, Materials, and Safety; Building
     Environment; Technical Evaluation and Application — Center for  Fire Research: Fire Science; Fire Safety Engineering.

 THE INSTITUTE FOR COMPUTER SCIENCES AND TECHNOLOGY  conducts research and  provides  technical services
 designed to aid Government agencies  in improving cost effectiveness in the  conduct of their programs  through the selection,
 acquisition, and effective utilization of automatic data processing equipment; and  serves as the principal focus wthin the exec-
 utive branch for the development of  Federal  standards  for automatic data processing equipment, techniques, and  computer
 languages. The Institute consist of the following divisions:
     Computer Services — Systems and Software — Computer Systems Engineering — Information Technology.

 THE OFFICE OF EXPERIMENTAL TECHNOLOGY  INCENTIVES PROGRAM seeks to  affect public policy  and process
 to facilitate technological change  in the private sector by examining and experimenting with Government  policies and prac-
 tices in order to identify and remove Government-related barriers and to correct inherent market imperfections that impede
 the innovation process.

 THE OFFICE FOR INFORMATION PROGRAMS promotes optimum dissemination and  accessibility of  scientific informa-
 tion generated within NBS; promotes  the development of the National Standard  Reference  Data System and a system of  in-
 formation analysis centers dealing with the broader aspects of the National Measurement System; provides appropriate services
 to ensure that the NBS staff has optimum accessibility to the scientific information  of the world. The Office consists of the
 following organizational units:

      Office of Standard Reference Data — Office of Information Activities — Office of Technical Publications — Library —
      Office of International Standards — Office of International Relations.
     1 Headquarters and Laboratories at Gaithersburg, Maryland, unless otherwise noted; mailing address Washington, D.C. 20234.
     ' Located at Boulder. Colorado ROV»

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Noise  Emission  Measurements  for
Regulatory Purposes
D. R. Flynn
W. A. Leasure, Jr.
A. I. Rubin, and
M. A. Cadoff

National Bureau of Standards
Washington, D.C. 20234
In cooperation with the
U.S. Environmental Protection Agency
Office of Noise Abatement and Control
U.S. DEPARTMENT OF COMMERCE, Juanita M. Kreps, Secretary

  Dr. Betsy Ancker-Johnson, Assistant Secretary for Science and Technology
NATIONAL BUREAU OF STANDARDS, Ernest Ambler, Acting Director

Issued March 1977

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Library of Congress Cataloging in Publication Data
United States. National Bureau of Standards.
  Noise emission measurements for regulatory purposes.
  (NBS Handbook; 122)
  Supt. of Docs, no.:  C13.11:122
   1. Noise—Measurement. I. Flynn.D.R. II. United States. Environ-
mental Protection Agency. Office of Noise Abatement and Control.
HI. Title. IV. Series:  United States.  National Bureau of Standards.
Handbook; 122
QC100.U57 no. 468 [TD894] 620.2'3 76-608406
     National Bureau  of Standards Handbook  122
     Nat. Bur. Stand, (U.S.), Handb, 122,193 pages (Mar. 1977)
                      CODEN: NBSHA
             U.S. GOVERNMENT PRINTING OFFICE
                      WASHINGTON:  1977
   For sale by the Superintendent of Documents, U.S. Government Printing Office
                   Washington, D.C. 20402 - Price $2.60

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                                Abstract

     A review is given of the measurement needs attendant to regulation of
the noise generated and emitted by commercial products.  The emphasis is
primarily on measurement procedures for use in conjunction with point-of-sale
regulations as opposed to regulations on the noise which a source actually
emits when in operation.  The report is divided into three major parts.  Part
I is a discussion of overall measurement requirements and the type of data
and information which are needed in order to promulgate regulations "based on
appropriate measurement techniques.  Part II is designed as a checklist for
the evaluation of the suitability of a noise measurement standard for a
particular class of products or, in the absence of a suitable standard, as a
framework for development of one.  The intent is to identify and discuss in
some detail those factors which can impact on the accuracy, precision, and
applicability of a noise measurement process.  Part III consists of a series
of flow charts depicting the development of appropriate procedures for the
measurement of product noise emission.

Key Words:  Acoustics; environmental pollution; machinery and equipment;
            noise; noise abatement and control; noise emission; regulation;
            sound.
                                    iii

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                            Table  of Contents

                                                                          Page

      Acknowledgements	xiii

PART I:    Overall Requirements  	      1

      1.   Introduction	.	      1

      2.   Measurement Methodology Development -— Overview	      h
           2.1.   Product Classification 	      k
           2.2.   Normal Use Conditions   	      k
           2.3.   Identification of Major "Effects" Parameters 	      4
           2.U.   Physical Measurements  Correlated with-Major Effects.  .      h

      3.   Relationship of Measurement to Regulations	      5
           3.1.   Role of Measurement	      5
           3.2.   Measurement Requirements for Regulation	      5
           3.3.   Measurement Uncertainty Considerations in Establishing
                  Regulatory Noise Limits	      6

      h.   Informational Requirements for Setting Noise
           Regulations:  Product Classification Scheme 	      9

      5.   Informational Requirements for Setting Noise
           Regulations:  Operating Procedures and Environment	     12
           5,1.   Typical Usage Data	     12
           5.2^   Effect on Noise Levels	     12
                  a..  Operation	     12
                  b..  Environment	     lU
                  c.  Installation	     ill

      6.   Informational Requirements for Setting Noise
           Regulations:  Effects of Noise on People..	     16
           6.1.   Parties Affected	     16
                  a.  Operator	     16
                  b.  Passenger	     16
                  c.,  Neighbor	  .  .     16
                  d.  Bystander	     16
           6.2.   Nature of Effects	     17
                  a.  Hearing Loss	     17
                  "b.  Task Interference	     17
                  c.  Annoyance	     17

      7.   Quantitative Description of Noise .  	     18
           7..1.   Identification of Major Parameters	     18
                  a..  Relationship to Effects	     18
                  b.  Environment/Use Conditions 	     18

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                                                                          Page

          7.2.   Measurement Parameters	.-....,.,.  v  ^  ...»     19
                 a.  Sound Level.	....„..'  „.*..*„.'     19
                 t>.  Spectral Quality	..........     19
                 c.  Temporal Variation  	     19

      8.   Consensus Procedures for Measurement Standards  and
          Rating Schemes	                         21
          8.1.   Input  from All Affected Parties   	  ......     21
          8.2.   International Trade	!  !  !  !  .     21

      9-   Environmental Protection Agency Promulgation of
          Regulations	     22
          9.1.   Special  Requirements	!!!!!!!!!     22
                 a.  Product Noise Emission  Standards  .........     22
                 b.  Labeling	f	4     22
                 c.  Low-Noise-Eraission  Product  Certification Procedures   23
          9.2.   Technical, Economic,  and Administrative
                 Feasibility as  It Relates to Measurement	     23
          9.3.   Compatibility with  Other Regulations  and Needs  ....     23

     10.   RecOTended  Operational Procedure  for  Generating Measurement
          Methodologies for  Specific Product Classes	     25

      References for Part  I	                                     28


PART II:    Contents of  Measurement Standards	             .    29

     11.    Purpose  and Applicability	                       30
           11.1.  Introduction	    30
           11.2.  Scope and Purpose	!	    30
           11.3.  Definitions and References .     	    31
           11.4. Acoustical Quantities to be Measured  !	    31
           11.5.  Applicability	      *     *   '      35
                  a.  Types of Noise .....!*.!	    35
                  b.  Nature and Size of Source.*  ......    3^
                  c.  Measurement Uncertainty, !!!!!!'.!'*'!    38

     12.    Acoustic Environment	                             1^1
           12.1.  General Requirements	    1^1
           12.2.  Criteria for Adequacy of the Test'Environment!    ! ! .    ^
                  a,  Anechoic Environment 	                    U3
                  b. Hami-Anschoic Environment! .  . .  .  .                  h&
                  c.  Reverberant  Environment.       \	    53
                  d.  In Situ	]	    55
           12.3.  Criteria for Background*Noise! !	    68
                                        vi

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                                                                    Page
      12. U.  Criteria for Temperature,  Barometric Pressure, Humidity,
             and Wind	TO
             a.   Temperature	TO
             b.   Barometric  Pressure  	 Tl
             c.   Humidity	T5
             d.   Wind	TT
      12.5.  Criteria for Size of the Test Equipment	TT
      12.6.  Criteria for Reflecting  Surfaces	TT

13.   Instrumentation for Noise Measurements  	 T8
      13.1.  General Requirements	T8
      13.2.  Microphone and  Ca"ble	T9
      13.3.  Frequency Response of the  Instrumentation System	T9
      13. U.  Weighting Network and/or Frequency Analyzer  	 80
      13.5.  Signal Detection and Averaging	8l
      13.6.  Read-Out Device	83
      13.T.  Transient Response of Instrumentation System	85
      13.8.  Calibration and Maintenance of Instrumentation System  .  . 85
      13.9.  Precautions to  be Taken  When Selecting Instrumentation.  . 86

Ik.   Installation and Operation of Source  	 89
      lU.l.  Source Location	89
      lU.2.  Source Mounting and Installation	91
      lU.3.  Auxiliary Equipment	92
      lU.U.  Operation of Source During Test	9^
      lU.5.  Loading of Equipment During Test.  ....  	 96

15.   Measurement Procedures 	 98
      15.1.  General	98
      15.2.  Microphone Positions	112
             a.   Anechoic Space	112
             b.   Hemi-Anechoic  Space	113
             c.   Reverberant Space	119
      15.3.  Source Positions	130
      15.U.  Period of Observation	131
      15.5.  Use of Diffusers	131
      15.6.  Background Noise Measurements	132
      15.T.  Characterization of Test Environment	133
             a.   Anechoic Chamber	133
             b.   Hemi-Anechoic  Environment	133
             c.   Reverberant Environment	13^
      15.8.  Calibration	135

16.   Calculation Procedures	136
      16.1.  Correction for  Background  Noise	136
      16.2.  Correction for  Test Environment	13T
      l6.3.  Determination of Mean-Square Pressure  	13T
      16. k.  Calculation of  Sound Power	13T
      16.5.  Calculation of  Noise Rating	1ST
      16.6.  Calculation of  Measurement Uncertainty	13T

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                                                                         Page

    IT-   Information to be Recorded ..................  139
          17.1.  Sound Source Under Test ................  139
          17.2.  Sound Source Installation Details ...........  139
          17.3.  Sound Source Operating Procedures ...........
          17.^.  Acoustic Environment ..................
          17.5.  Instrumentation  ....................
          17-6.  Special Measurement Procedures .............
          17.7.  Calibration History ........  ..  .........
          17.8.  Acoustical Data  and Related Information  ........
          17.9.  Special Calculation Procedures .............
          17.10. Measurement Uncertainty  ................

     18.   Information to Be Reported  ..................  lU2
          18.1.  Identification of  Source ................
          18.2.  Source Installation and Operating Procedure ......
          18.3.  Deviations from  Standard Measurement Procedures  .  .  .  .
          18. H.  Acoustical Data  and Related  Information  ........
          l8.5.  Measurement Uncertainty :.  .  .  ............  .
      References for Part II
PART III:  Selection of Measurement Methodology Appropriate to a
           Specific Product .......................  153

Appendix A.  List of Participants at Government/ Industry Meetings
             on Noise Measurement Methodology for the Environmental
             Protection Agency's Noise Emission Regulations ........
Appendix B.  Pertinent Sections of the Noise Control Act of 1972 .....

Appendix C.  Uncertainty of Measurement .................  l66

Appendix D.  Possible GATT Code of Conduct for Preventing Technical
             Barriers for Trade .......  ..............  l69

             References for Appendix D  ......  .  ..........  172

Appendix E.  Methods of Labeling   ................  ....  173

             References for Appendix E   .....  .  ......      ...  l80
                                    viii

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                                  List  of  Figures
Figure 1.   Development of measurement methodology needed for
            implementation of Public Law 92-57U:   Sections 6, 8, 15,
            IT and 18 ...........................   2

Figure 2.   Recommended operational procedure for  generating measure-
            ment methodologies ......................  26

Figure 3.   Schematic representation of a sound source in an anechoic
            chamber ............................  i+5

Figure h.   Maximum range of uncertainty in the sound pressure  level
            in  an anechoic chamber as a function of II  and II  ,  defined
            in  the text (for a single -wall, normal incidence; .......  ^7
Figure 5«   Hypothetical variation of sound pressure level versus
            distance as one wall of an anechoic  chamber is approached. . .  ^9

Figure 6.   Schematic representation of a sound  source in a free field
            above a reflecting plane .......... » ........  51

Figure 7.   Limits for the effect of the image source on the observed
            sound pressure level as a function of the absorption
            coefficient of the reflecting plane  with r/r' as a parameter.   52

Figure 8.   Difference between the total sound level and that due to the
            reverberant field alone, shown versus the effective distance
            from the source ........................  57

Figure 9.   The effect of neglecting the 10 log  (l-a ) term in eq. (l6) . .  59

Figure 10.  Approximate number of normal modes in a 1/3-octave frequency
            band for cubical rooms of the volume shown.  .........  6l

Figure 11.  Frequency response of a reverberation room having equal-
            strength modes at 95s 100, and 105 Hz for reverberation
            times of 1 and 20 s, respectively ...............  63

Figure 12.  Range of the variation (peak-to-valley in Figure ll) in
            the frequency response of a reverberation room for fre-
            quencies near 100 Hz as a function of reverberation time
            for different modal spacings .................  6k

Figure 13-  Drawing illustrating the spacing, 6f, between normal modes,
            the width, Af , of a normal mode,  and the relationships among
            Af, f /Q, T,  and T ......................  66
                                    ix

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Figure lU.  Pressure dependence of the acoustic resistance of a.ir .....   73

Figure 15.  Atmospheric absorption loss in air as a function of temper-
            ature for relative humidities of 10 and TO percent at
            frequencies of 1000 and ^000 Hz ................   76

Figure 16.  Schematic representation of instrumentation for sound level
            measurements .........................   78

Figure 17.  Confidence intervals as functions of BT for measurements  on
            random noise .........................   8U

Figure 18.  Schematic representation of a rigid circular piston of
            radius, a, contained in an infinite "baffle .......... 103

Figure 19.  Variation of the axial intensity level due to a baffled
            rigid piston of radius, a, vibrating at an angular fre-
            quency, a). .  . ........................ 105

Figure 20.  Far-field radiation patterns showing the directionality for
            a baffled rigid piston .................... 106

Figure 21.  Axial intensity level due to an incoherent circular source.   . 107

Figure 22.  Schematic representation of sound radiation from an infinite
            plate in vhich there is a plane bending vave propagating  at
            speed, CB ........................... 107

Figure 23.  Far-field intensity level above the critical frequency for
            an infinite plate in flexure ................. 110

Figure 2*t.  Intensity level parallel to an infinite plate in flexure
            at frequencies below the critical frequencies ......... Ill

Figure 25.  A suggested set of continuous microphone traverses for
            determination of sound power in a free field above a
            reflecting plane ............  ..  .  .  ........
Figure 26.  Effect of bandwidth on directivity of sound field  of a
            point source at a distance,  h,  from a reflecting plane.   _  _  ^

Figure 27.  Error introduced by limited  number of measuring points
            when determining sound power output of a random point
            source near a reflecting plane .....  .  .......... 117

Figure 28.  System for microphone traverses  along meridional paths.   .  .  . 118

Figure 29.  Microphone array for a parallelepiped measurement  surface.  .  . 120

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Figure lU.  Pressure dependence of the acoustic resistance of Ri.r. . • -

Figure 15.  Atmospheric absorption loss in air as a function of temper-
            ature for relative humidities of 10 and 70 percent at
            frequencies of 1000 and  UOOO Hz	
                                                                           73
Figure 16.  Schematic  representation of instrumentation for sound level
            measurements .........................  '

Figure 17.  Confidence intervals as functions of BT for measurements on
            random noise .........................  °

Figure 18.  Schematic  representation of a  rigid circular piston of
            radius, as contained in an infinite baffle .......... l0^
Figure 19.  Variation of the axial intensity level, due  to  a baffled
            rigid piston of radius, a, vibrating at an  angular  fre-
            quency, u. . .
 Figure  20.  Far-field radiation patterns shoving the directionality for
            a baffled rigid piston ........ . ...........  I0b

 Figure  21.  Axial  intensity level due to an incoherent circular source.  •  l0^

 Figure  22.  Schematic representation of sound radiation from an infinite
            plate  in which there is a plane bending wave propagating at
             speed, c_ ................         .......  107
                     B                               ......

 Figure 23.   Far-field  intensity level above the  critical frequency for
             an infinite plate in flexure ................. ll0
 Figure 2k.  Intensity level parallel to an  infinite plate in flexure
             at frequencies below the critical frequencies
 Figure 25-  A suggested set of continuous microphone traverses  for
             determination of sound pover in a free field above  a
             reflecting plane ................
  Figure  26.   Effect of bandwidth on directivity of sound field of a
              point  source  at a distance, h, from a reflecting plane.  m  .  .  11 6

  Figure  27.   Error introduced by limited number of measuring points
              when determining sound power output of a random point
              source near a reflecting plane ..... t ...... » .  .  •  H?
  Figure 28.  System for microphone traverses along meridional paths.  . • •

  Figure 29.  Microphone array for a parallelepiped measurement surface. . •

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Figure 30.  Microphone array for a "composed"  measurement  surface	121

Figure 31.  Upper limit on the number of microphone positions  in
            rooms of the volumes shown if each position is at  least
            a half-wavelength from all other positions	122

Figure 32.  Normalized variance of the mean-squared sound  pressure in
            a room having a reverberation time, T,  and  excited "by
            random noise of "bandwidth, B	12U

Figure 33.  Minimum number of microphone positions  needed  for  1/3-octave
            hands of noise in order to have 95 percent  confidence that
            the spatial average of the mean-square  sound pressure is
            known within +1 dB	125

Figure 3^.  Normalized variance of the mean-squared sound  pressure in
            a room, having a reverberation time, T, excited by M equal-
            strength pure tones uniformly separated in  frequency by 6f.   . 128

Figure 35.  Development of appropriate test procedure	  .   .   . 15U

Figure 36.  Development of appropriate classification scheme	155

Figure 37.  Identification of operational modes indicative of  product
            usage	156

Figure 38.  Collection of noise effects data	157

Figure 39-  Selection of appropriate measurement locations	158

Figure 1*0.  Selection of appropriate test environment criteria	159

Figure Ul.  Sample of the energy labels now found on many  room air
            conditioners

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                             Acknowledgements

      The National Bureau of Standards gratefully acknowledges the assis-
tance of many people and organizations who contributed to the preparation
of this report.  Their contributions have made it possible to produce
this document.  The following groups and individuals  deserve special recogni-
tion.

      Between July 20, 1972 and December 20,  1972, a  series of meetings was
conducted by NBS with representatives of governmental and industrial
organizations to obtain inputs prior to the development of this report.
During these meetings we discussed special problems and reviewed the existing
data base, including present noise levels, typical operational modes and
use statistics.  Finally, we tried to identify the critically important
information necessary to evaluate the implications of noise measurement
methodologies.  These include problems associated with the technical capa-
bility of an industry to use a particular measurement methodology and the
possible economic impact associated with alternative  measurement require-
ments .  We thank the following groups for their  important contributions,
which in many instances included a written critical review of the initial
draft of this report.

           o Acoustical and Insulating Materials Association
           o Air Conditioning and Refrigeration  Institute
           o American Road Builders Association
           o American Short Line Railroad Association
           o American Trucking Associations
           o Association of American Railroads
           o Association of Home Appliance Manufacturers
           o Construction Industry Manufacturers Association
           o U. S. Department of Transportation  (Federal Railroad
             Administration and the Office of Noise Abatement)
           o Engine Manufacturers Association
           o General Services Administration  (Public  Building
             Services)
           o International Snowmobile Industry Association
           o Motor Vehicle Manufacturers Association
           o National Electrical Manufacturers Association
           o SAE Motorized Snow Vehicle Subcommittee
           o U. S. Postal Service

      We would further like to recognize the  significant contributions
of the following five acousticians for their  critical review of the initial
draft of the report and their many useful and timely  suggestions.

           Dr. Erich K. Bender
           Bolt Beranek and Newman, Inc.

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         Mr. George M. Diehl
         Ingersoll-Rand Company

         Dr. Tony F. W. Embleton
         National Research Council  (Canada)

         Mr. George W. Kamperman
         Kamperman Associates, Inc.

         Dr. William W. Lang
         IBM Corporation

     Joseph M.  Cameron,  Joan  R. Rosenblatt,  and Hsien H.  Ku provided very
valuable input  to the  discussions  of measurement uncertainty.

     Particularly helpful  guidance in the early stages of preparation of this
report was  provided by Mr. John C. Schettino and Mrs. D.  Elizabeth Cuadra of
the U. S. Environmental Protection Agency Office of Noise Abatement and
Control.

     In addition we would like to acknowledge the editorial contributions of
Mr. Edward Case.
                                   xiv

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                     PART I  OVERALL REQUIREMENTS

                               1.     Introduction

       This report is the result of a project initiated,  in May 1972, "by
 the  National Bureau of Standards at the request of the Office of Noise
 Abatement and Control, U. S. Environmental Protection Agency, in
 anticipation of the eventual passage of legislation authorizing the
 Environmental Protection Agency to promulgate noise emission standards
 and  labeling requirements.

       The intent of the project was to develop a working document to be
 utilized by the Environmental Protection Agency, or its  designated
 agents, in the development of measurement methodologies  for noise
 emission or labeling standards.  The questions that need to be addressed
 during the development of such methodologies are presented here with
 their  appropriate technical backup.  The specific directions of effort
 and  emphasis were developed in response to:

           - Discussions with Environmental Protection Agency
             personnel
           - Meetings with trade associations
           - Meetings with standards organizations
           - Literature review
           - Consultations with acoustical experts
           - Legal requirements of the Noise Control Act of 1972.

 A listing of the meetings with other organizations,  including the individual
 participants and the companies or agencies they represented at the meetings, is
 given  in Appendix A.

       The general strategy of this report is depicted in Figure 1.

      The Noise Control Act  of 1972, Public  Law 92-57^,  vhich was signed into
 law on October 27,  1972, requires or authorizes the  Administrator of the
 Environmental Protection Agency to control the emission  from noise sources that
 constitute a potential threat to the public  health and welfare so as to provide
 people with an environment which is free from noise  that jeopardizes their
 health and welfare.   This policy will require actions  for which appropriate
 supporting measurement methodology must be developed.  The  actions are
 summarized in Appendix B for  the benefit of  those readers who are not familiar
with the Act.   The  criteria  documents and major noise  source identification
 reports developed in response to Sec. 5 of the Noise Control Act of 1972 are
 the logical starting points  for the development and  assessment of the necessary
measurement methodology.

      Figure 1 shows that one needs to collect data  regarding product
 classification, product usage, product noise production,  and the resultant
 effects of the noise on people.  These data  are to be  used  in determining the

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   EPA Documents
      -  Criteria
      -  Levels
      -  Major
          Sources
                           Review All Existing
                           Information to
                           Establish
       Effects
        -  Who
        -  How
                                   ±
                 Operating
                 Characteristics
                   -  Speed
                   -  Load
                   -  Duty Cycle
     Select Most
     Suitable
     Measurement
     Scale 
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acoustical quantity to "be rated, the scheme to "be used for a noise rating
methodology which adequately correlates with human response, arid, finally, the
measurement standard to "be used in conjunction vith the emission standard or
other regulation.  Note that the word "standard"  is customarily used with two
very different meanings.  An emission standard is a legal permissible limit,
for example, on noise emission.  A measurement standard is a prescribed
procedure for conducting a measurement in such a  way as to obtain reliable,
reproducible results with a specified level of accuracy.

      Conceptually, there are three separate items which go into the noise
emission regulation, whether it be a noise emission standard, a labeling
requirement, or the procedure for certifying low-noise-emission products,   (l)
There should be a measurement standard which prescribes the test environment,
operating procedures, and acoustical measurement  methodology.  (2)  There should
be a scheme, or algorithm, by which the acoustical data can be used to obtain a
noise rating which relates to human response.  (3) There should be a level, or
set of levels, which separate the noise rating into categories of performance
or acceptability.  For example, a noise emission  standard could set a single
upper limit on the noise rating — products exceeding that rating could not be
sold.  Alternatively, it could set an upper limit which varied with some
operating parameter such as speed; the noise rating could not  exceed that curve
at any value of the operating parameter.  A labeling requirement might
establish several classes (e.g., A, B, C, and D]  into one of which the noise
rating would fall.

      Once a regulation has been promulgated, a reasonable and equitable
enforcement program is a necessity; for without enforcement, the regulation is
meaningless.  The importance of highly repeatable, accurate measurements- should
be quite clear in the enforcement area.  To stand up in court, a measurement
must be proved to be reliable, of accuracy sufficient for the purpose, and
appropriately related to the adverse impact of the noise on people.  In
addition, a measurement assurance program is highly desirable  to ensure that
the determination of a product's noise rating will be independent of the
organization performing the measurements — EPA,  manufacturers, independent
test laboratories.  Unless minimum requirements are placed on  Instrumentation,
calibration, test facilities and personnel conducting tests, no assurance will
exist that a product actually conforms to the regulation.

      Section 2 of this report provides an overview of the measurement
methodology development process vhile Section 3 is concerned with, the role  of
measurement in relation to regulations.  Ensuing  sections develop in detail the
concepts depicted in Figure 1.  It should be emphasized that the flow of action
is not as simple and unidirectional as indicated  in Figure 1.  Rarely, if ever,
would it be possible to progress directly- from the input data  to the rating
scheme and measurement standard and then to the regulation without considerable
retracing.  In the interest of simplicity, the many feedback loops. have been
omitted.

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             2.    Measurement  Methodology Development ~  Overview

      A sequence of activities must "be completed in assigning a meaningful
noise rating to a product.  An overview of the steps involved in this process
is presented "below — a more detailed treatment appears in the succeeding
sections of Part I.

                               2.1.   Product Classification

      The vast number of available products which might be regulated precludes
handling each on an individual basis — this would constitute an endless task.
However, categories of products may be subdivided into product classes based on
critical parameters associated with noise.  The scope and effectiveness of the
regulatory task will largely be determined by the degree of success achieved in
devising useful product classifications.

                           2.2.   Normal Use Conditions

      Discussions with organizations concerning product noise have invariably
dealt with the requirement to consider a device under realistic use conditions.
By ignoring the environmental and operating characteristics it might be easier
to develop standardized measurement techniques but it then becomes almost
impossible to relate the noise output to impact on people.  If the noise impact
is not determined, the reason for making the measurement and the validity of
any rating are questionable.

                   2.3.  Identification of  Major  "Effects"  Parameters

      The characteristics of noise associated with the major physiological,
psychological and sociological effects and the resultant impact form the basis
of the criterion measure to be ultimately employed by the Environmental
Protection Agency (along with considerations of technical and economic
feasibility).  Among those features usually defined are "loudness" (or
noisiness) and annoyance.  The disruption of tasks such as speech communication
is another major consequence of noise often noted.

                2.4.   Physical Measurements Correlated  with Major Effects

      When the major parameters associated with effects and population impact
have been identified and their physical correlates determined, a meaningful
test methodology can be developed.  Measures of sound level, spectral
characteristics and temporal variation form the basis for these quantitative
descriptions.

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                3. Relationship of Measurement to Regulations

                              3.1.   Role of Measurement

      Good measurements are essential to research and development activities.
Often solutions to problems cannot be implemented "because of the lack of
relevant data.  Under these circumstances, an appropriate data "base must be
developed.  This often calls for improved measures to develop control
techniques and/or to determine their effectiveness.  In addition, generally
accepted and standardized test methods assume an important role so that data
acquired at different times or places can be compared and related meaningfully.

      Noise measurements need to be conducted under both laboratory and field
conditions to meet the dual objectives of scientific accuracy and relevance to
real-use conditions.  The primary goal is to make valid and reliable
measurements such that the actions taken on the basis of a measurement are only
negligibly affected by the errors in the measurement.

      The primary questions are:

           o What needs to be measured?

           o What is now measured?

           o How is it now measured?

           o What are the current requirements concerning measurement
                  uncertainty?  (Appendix C contains a discussion of
                  uncertainty of measurement).

           o What are limitations of present instruments and
                  methodology?

If the answers to these questions result in poor or inadequate data,
another question must then be answered:

           o What research and development need to be accomplished
                  to make the required measurements?

                   3.2.   Measurement Requirements for  Regulation

      The assessment of noise problems and of alternative strategies
for noise abatement and control must ultimately rest on accurate,
reliable, and relevant measurement capability required to:

           o ascertain the effects of a given noise exposure (what
                  exposure will produce how much hearing damage?)

           o establish trends (is the average noise exposure of the
                  populace increasing and are more people being exposed?)

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           o associate  sources with  environmental  noise levels  (how much  of
                  urban noise  comes  from trucks?   from planes?   from  air
                  conditioners?)

           o promote equity  in trade (are manufacturers "being treated
                  equally in voluntary or mandatory noise emission
                  standards  programs?}

           o provide adequate  information to  the consumer (which of
                  several products is  really  the quietest and are the
                  noise level  differences among products significant?)

           o permit selection  of cost-effective solutions (what
                  degree of noise reduction should be attained  and at
                  what  cost?)

           o monitor the effectiveness of control  programs (is  the
                  noise level  actually responding  to new control
                  procedures?)

           o provide the factual (measurement) basis for legal  action
                  should that  prove  necessary,  (is a particular noise
                  source in violation?  To stand up in court, a measure-
                  ment  must be proved to have an uncertainty which is
                  sufficiently small for the  purpose.)

               3.3.   Measurement  Uncertainty Considerations in Establishing
                                Regulatory Noise  Limits

      How can effective noise regulation be carried out in such a way
as to minimize interference with such important values as individual
freedom of choice, dynamic operation of the marketplace, and progress
in the development and use of new science and technology?

      There are three needs attendant to the problem of the abatement of
excess noise:  first, an agency to execute the overall policy set by the
legislative process; second, a mechanism to determine allowable levels
of noise; and third, a means of enforcing the determined requirements.
Measurement is a key element in defining "allowable levels of noise" and
"enforcing the determined requirements."

      More generally, measurements are essential to effective communica-
tions in transmitting the complex information required for noise abate-
ment and control.  The results of measurements are data which are the
bases for judgements as to acceptability of products, violations of law,
etc.

      The question arises as to whether  close measurement tolerances —
attainable by careful control of environment, operating procedures, and

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measurement procedure — are justified in view of the uncertainties  in the
application of the resultant noise rating to predict in-service  noise levels
and the resultant effects.  First, the total error in prediction involves the
sum of the errors in measurement and rating, in predicting  in-service levels
and in predicting the resultant effects.   Reducing the rating error  thus
reduces the total error; however, it would be economically  wasteful  to insist
upon high levels of accuracy and precision for rating measurements if the
errors in predicting in-service levels and resultant effects  are relatively
gross and difficult to control.  Second,  application errors and, to  some
extent, effect-prediction errors tend to  be averaged out  from one application
to another; systematic errors are repetitive.  Third, when  noise ratings are
used to compare the performance of a product to the requirements of  a
regulation or to the performance of a competitive product,  if the ratings are
in error, difficulties in enforcement, inequities in trade, and  excessive costs
may be incurred.  Careful evaluation of measurement uncertainties is required
for assurance that they are neither too small nor too large in relation to the
purpose for which the measurements are made.

      The setting of the enforcement level relative to the  legal limit, for
test results to be based on some sample of the product, depends  to a large
extent on the measurement uncertainty, the variability of the product, and the
desired levels of risks in accepting non-conforming units and rejecting
conforming units (e.g., see [l]).  In general, for regulations to be effective
and reasonable, measurement uncertainties should be as small  as  practicable.
If, for example, the legal limit is 80 dB and the measurement uncertainty is _+5
dB, procedures will be needed for interpreting a noise level  close to the legal
limit such as 83 dB or 77 dB.  The existence of a violation can  be sustained
more effectively when the noise level is  above the legal  limit by an amount
greater than the measurement uncertainty, and the public  is better assured of
conforming products if the noise level is below the legal limit  by a similarly
convincing amount.  The difficulty is compounded by the need  for uniformity of
enforcement, i.e., consistent measurements by different officials.   The largest
uncertainty likely for measurements by the least competent  official, using the
most inaccurate or imprecise equipment allowable, under the least favorable
test conditions, must be considered in the process of setting the enforcement
limit.  If this measurement uncertainty is large, the enforcement agency's
problems are increased.  If the enforcement level is set  above the legal limit,
it appears that the agency is not enforcing the desired noise abatement.  If
the enforcement level is set below the legal limit, manufacturers incur
increased compliance costs.

      Measurement uncertainties should also be held as small  as  practical for
trade equity.  For example, if products are graded A, B,  C, D in terms of noise
emission, the attainable measurement errors should be considerably smaller than
the steps between the middle of adjacent  grades.  Otherwise,  products could be
incorrectly labeled, resulting in unfair  competitive situations. Similarly, of
two competing products with identical noise emission, one could  be banned from
sale while the other would be allowed to  be sold — both  being tested against
the same emission standard.

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      Cost of compliance with emission standards,  or  of meeting  a certain
labeling grade, can be increased significantly due to measurement uncertain-
ties.  As products are quieted more and more,  the  incremental  cost of
quieting typically increases.  Thus, for example,  if  due to measurement
uncertainties, it were necessary to quiet a product by 10 decibels to be
certain that it is at least 5 decibels quieter, the cost-to-quiet may be
several times greater than if the measurement  uncertainty were,  say, 1
decibel.
                                      8

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         4.      Informational  Requirements  for  Setting  Noise Regulations

                            Product Classification Scheme

      Consumer products are classified into categories which relate to
differences in the design, shape, style or quality of similar products.
Classification schemes are based on power, capacity, weight, etc.

      Questions concerning product classification systems to be used for
noise ratings include:

            • Does a classification system exist within a given
               industry regardless of whether or not it is appro-
               priate for noise measurement?

            • Does the existing classification system lend itself  to
               acceptance as a categorization with noise as the
               item of concern rather than weight, power, etc?

            • Is the level of classification detail sufficient for the
               measurement methodology to be universally applied?

      In general, satisfactory classifications do exist for most products.
As an example, pumps can be classified:

            • by capacity — 10 to a million gallons per minute.

            • by application — industrial,  commercial, agricultural,
               municipal, domestic.

            • by the materials that  they are capable of handling —
               water, sulphur, solids, slurry, liquid metal.

            • by pressure range — high, medium, low, vacuum.

            • by design — turbine,  axial flow,  centrifugal,  rotary,
               reciprocating.

            • by salient features — submersible, self-priming,
               proportioning,  non-clogging,  measuring.

            • by the material  used — stainless  steel,  plastic, bronze.

      All of the above classification schemes  are valid for specific applica-
tions; however, none of them has noise as its  primary basis.

      The fact that pumps can  be subdivided  into a myriad of  classifications
should be considered with caution since some products are not  so readily
classified.   For instance, the construction  industry has no classification
scheme for its products.   As a first step in developing such  a scheme, the

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Construction Industry Manufacturers  Association asked its members to
define their concept of that piece of construction  equipment known as a
roller/compactor.   The answers identified approximately  fifty different
devices ranging in weight from hundreds  of pounds to several hundred-thousands
of pounds.  The list represented self-propelled, towed,  and even hand-controllS"
machines.

      Motor vehicles offer another example.   Since  all motor vehicles do not
have the same noise generation characteristics, the category "motor vehicles'
must be further subdivided.  According to functional characteristics, the next
level of detail would break into trucks, cars, buses and over-the-road
recreational vehicles. Utilizing gross vehicle weight as a further subdivision
at this level of classification, the Society of Automotive Engineers, Inc.
established its noise standards for  motor vehicles  (highway).  One standard
exists for passenger cars and light  trucks (vehicles of  6000 pounds or less)
and another applies to heavy trucks  and  buses.  No  specific standards now exist
for over-the-road recreational vehicles.  Thus a passenger car could weigh more
than 6000 pounds and theoretically would be  considered a truck from a noise
regulation standpoint.  Licensing is not the final  answer since the
distinctions between trucks and passenger cars for  licensing purposes are
sometimes quite subtle.  For instance, a four-wheel drive vehicle is licensed
in the state of Maryland as a truck  unless it has a rear seat for carrying
passengers; then it is licensed as a car.  Such an  arbitrary system could
penalize a given vehicle due to an optional feature which has no bearing upon
the vehicle noise generation.

      Even after the classification  scheme is determined, all problems are
 not solved.  A tractor-trailer combination is considered as a truck by most
 people.  However, to the industry it is comprised  of two independent parts
 designed and fabricated by different manufacturers — the tractor and the
 trailer.  The eventual noise level  produced by the combination depends on
 a third party — the fleet or individual owner —  who matches tractor to
 trailer and determines which tires  are  mounted on  each  (tires usually
 control noise emission at moderate-to-high speeds  for well-maintained
 vehicles equipped with adequate muffling systems). Since tractor-trailer
 "trucks" are not sold as such in commerce,  the Federal  regulation of
 these might have to be via product  noise emission  standards  (Sec. 6 of
 Public Law 92-5710 for the products (tractor, tires) which are sold separately
 plus motor carrier noise emission standards (Sec.  18 of Public Law 92-571*)
 for the overall vehicle.

      Devices could also be classified by the noise they produce  versus
such considerations as the service they perform (buses  contrasted to  auto-
mobiles), their location  (urban versus remote or rural), and their  effects
(how many people are  affected and in what way?).   For example,  farm
machinery could be placed  in a separate classification since the  location
is usually  rural and  the only people impacted are the farmers themselves.
In this  case the most economical noise control solution might be  an
enclosed cab which would protect the operator of the machine.
                                    10

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      It should be evident that product classification is not the simple
matter that it may have seemed at first glance.   Much thought must be
given to the relevance of existing systems and the development of new
schemes where classification does not now exist.   With the high
costs associated with instrumentation, facilities, and the trained
manpower to make the measurements, one would hope that appropriate classi-
fication schemes can "be developed so that a separate and distinct
measurement methodology would not be necessary for each product.
                                       11

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          5.  Informational Requirements for Setting Noise Regulations

                    Operating Procedures and Environment

      "Scatter" typically is observed in  test data.   With the  advent of
government noise regulations, it "becomes  increasingly imperative  to
determine the sources of variability in test results.  Existing test
procedures should be revised and new procedures  developed to be less
sensitive to device operation and test site conditions.

      Test procedures should represent typical operating modes — that
is, relevant either to community or operator noise exposure to the
device under test.

                             5.1.   Typical Usage Data

      In general, products have a range of  possible operational modes with
the noise emission characteristics dependent on  how they operate. The
key to deciding upon the mode or modes of operation of a device that should
be specified for noise test purposes hinges on the knowledge of how  the
device is "normally" operated.   In order  to determine "normal  operation,"
a usage survey should be conducted.^. The  results of one such survey[2]
in the outboard motor field are sfeown in  Table 1.

      Although the data are limited, it is  interesting to note the very
low percentage of time that pleasure boats  run at wide open throttle
(maximum noise position}.  This example is  not atypical.  In the  case of
railroad locomotives, for instance, over  30 percent of the time the
vehicle is at idle.  These examples substantiate the fact that usually it
will not be sufficient to make measurements only during that operation
which produces maximum noise since most devices  are not so operated  for
long periods of time.  In addition, people  can be annoyed, or  have their
conversations interfered with, at noise levels much lower than the
maximum.

                          5.2.  Effect on Noise  Levels

      There are a great many noise sources  and noise environments to
which people are exposed.  The noise emission from a given machine in
a specific location is dependent not only on the sound radiating
characteristics of the machine itself but also upon the type  of mounting,
the manner in which the machine is operated, and its environment.  In
setting noise limits for such devices through regulations, the measure-
ment system should include specification of such items as operating
conditions and environment — both installation and weather.

                                a.  Operation

      Attention must be given to the operational procedure utilized
for a given test since the noise produced depends heavily on  the  way a
                                    12

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Table 1.   Outboard Motor Field Usage  Study
Outboard

125 HP
100 HP
100 HP
55 HP (TWIN)
50 HP
50 HP (TWIN)
1*0 HP (TWIN)
9 1/2 HP
9 1/2 HP
9 1/2 HP
9 1/2 HP

Boat

17 Ft. Runabout
IT Ft. Runabout
18 Ft. Runabout
23 Ft. Cruiser
16 Ft. Runabout
20 Ft. Cruiser
16 Ft. Runabout
16 Ft. Fishing Boat
ll* Ft. Fishing Boat
ll* Ft. Fishing Boat
lit Ft. Fishing Boat

Hours

16.72
11.56
1*8.9!*
2l*.30
ll*.2l*
13.56
lit. 1*1*
21.56
lit. 28
10.2lt
10.16

PERCENTAGE TIME IN EACH SPEED RANGE
500
1000
RPM

3lt
32
2k
1*
13
5
3
6
12
i*
9

1000
1500

12
20
lit
19
19
12
13
13
11
11
11

1500
2000

3
7
U
15
5
11
12
10
7
12
9

2000
2500

5
3
2
5
10
5
7
6
9
19
U

2500
3000

6
i
i
2
5
5
3
6
3
11
1*

3000
3500

111
7
U
2
10
12
13
9
9
25
9
3500
ItOOO

12
13
11
8
7
2lt
13
8
5
15
22
i
1*000
1*500

10
11
33
37
10
22
19
19
25
3
19

U500
5000

3
1*
5
8
5
2
12
18
15
0
12

5000
5500

1
2
2
0
11
1
5
5
h
*
*

5500
6000

*
*
*
*
5
1
#
*
#
*
*

*0utboard motor was not set to run in this speed range  at wide open throttle.

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piece of equipment is operated.   Two  devices might generate comparable
noise levels when operated in a  certain mode yet might produce quite
different noise levels when operated  in another mode.

                                b.  Environment

      The term environment, as used here, means the aggregate of all
external conditions and influences  affecting the noise levels of a
given device, wherever the measurements are made.

      Airborne sound from an outdoor  source travels from the source to the
receiver through an atmosphere that is constantly in motion.  Turbulence,
temperature and wind gradients,  and reflections from the earth's surface all
affect the measured data.  Essentially there are two distinct effects corres-
ponding to:  (l) external factors (usually  atmospheric)  which affect the sound
pressure level at a particular point  and  (2) external factors which affect the
accuracy of its measurement.

      One also must be concerned with the environment indoors.  Room
volume, the sound absorption of the walls,  floor and ceiling, and
the  location of both the noise source and receiver must  be carefully
evaluated.  For instance, a sound level very near a noisy  machine
may  not be affected by sound-absorbing materials on the  walls.  How-
ever, such materials will affect the  sound  level measured  farther  from
the  machine.

      These are just a few of the factors that should be considered.
In many  cases, these are factors over which the investigator may have
little or no control.

                               c.  Installation

      Another  important  factor affecting the noise level associated
with a device  is the manner in which it is  installed.

      For example, the resultant noise level for a food-waste  disposer
is dependent on  (l) the  effectiveness of the vibration isolation of
the  disposer from the sink,  (2) the damping characteristics of the
sink itself,  (3) whether the connections between the disposer  and
the  drain pipe are flexible or rigid, (U) the effectiveness of the
closure  of  the mouth of  the  disposer and (5)  whether the grinding
chamber  and motor  are enclosed.

      Installation is likewise  crucial when one considers any type
of component noise,  for  example, motors or engines.   Returning to
the  boating industry,  every engine and drive unit, whether it is  out-
board,  stern drive,  or inboard, will  create a different noise
 signature,  depending on  the boat to which it is coupled.  Each boat  will
respond in a different manner,  and the overall boat noise can change
with different loads and operating conditions.

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      When measurements are made to determine compliance with  applicable
acoustic objectives, specifications or standards,  the  device should "be
installed in a manner similar to that in a typical customer's  facility, if
that is practical.

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         6.   Informational  Requirements  for Setting  Noise  Regulations

                            Effects  of  Noise  on People

      Since noise regulations are designed to limit the exposure of noise on
people, it is necessary to determine who is affected, with what impact^ fey a
particular product and how these effects are manifested.  These factors are
largely governed by the product and  the way that  it is normally used.

                               6.1.   Parties  Affected

      The relationship between the operating environment  and the determination
as to who is affected by a given noise becomes evident when products are
classified in terms of their mobility  (or in terms of people's mobility
relative to the sources).  For example, transportation vehicles have a far
different impact on a community than a home air-conditioning unit.  An
exploration of these different types of noise sources will serve to illustrate
their general effects.

                                 a.  Operator

      The operating procedures associated with a  product  will indicate how an
operator interacts with a product — what he does and where he is positioned.
These data provide the context for determining the effects of noise on a given
operator.  The operator need not be  the person exposed to the most severe noise
effects.  In fact, in some instances,  a product is designed to protect him from
the noise.

                                 b.  Passenger

      When the many transportation vehicles in operation  which are designed for
more than one person are considered, it becomes evident that being a passenger
is very common.  The noise exposure  experienced by a passenger can be quite
different from that of the operator  and therefore merits  independent
examination.

                                 c.  Neighbor

      Another social role is that of a neighbor,  who maintains a fixed and
rather permanent relationship to a noise source.  (An air conditioning unit may
be positioned so as to produce minimum noise disturbance  to owners, but may be
disturbing to neighbors.)

                                 d.  Bystander

      For the three previous classes of people affected by noise (operator,
passenger, and neighbor), it may be  anticipated that the  duration of exposure
is usually considerable.  However, in  many situations the noise exposure is of
relatively short duration for an individual but a larger  number of people are
impacted.  The noise source may move through a community  (a vehicle siren) or
many people may walk past a stationary source (a  construction site).


                                       16

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                             6.2.   Nature of  Effects

      Traditionally, the effects of noise have been studied in terms of three
major approaches, each one identified with a method of measurement —
physiological changes (both temporary and permanent), psychological attributes
such as annoyance and, finally, task interference.

                               a.  Hearing Loss

      The most severe and damaging effect of noise exposure is permanent loss
of hearing.  Exposure to noise of sufficient intensity for long periods of time
can produce temporary or permanent effects on the ability to hear.  In some
instances, excessive noise exposure leads to the destruction of the primary
auditory receptors — the hair cells in the ear.  Changes in hearing
experienced by the person suffering hearing impairment include distortions of
the clarity and quality of sounds as well as losses in the ability to detect
and understand sound.  These changes can range from slight impairment to severe
deafness.

                             b.  Task Interference

      The effect of noise on the performance of desired activities has received
considerable research attention.  The most unequivocal finding has been that
noise can seriously impair speech communication.  The performance of other
complex tasks is also made difficult by noise, but it has been difficult to
adequately define the levels of noise acceptability (or unacceptability) or to
develop an adequate measure of task difficulty.

                                 c.  Annoyance

      Many components associated with the disturbing characteristics of noise
have been subsumed under the term of annoyance.  An International Organization
for Standardization study group defined annoyance as "that general quantity
that emerges from the various sociological surveys that concern themselves  with
disturbance of various kinds around intense noise sources like aircraft."[ 3]
Annoyance can result from sleep disturbance,  interference with radio and TV
listening, as well as many other subtle immediate and long term sociological,
Psychological and physiological reactions.   Its definition and measurement  have
posed a major problem for researchers for many years.
                                     IT

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                     7.   Quantitative Description  of  Noise


     A viable method of assigning  noise ratings for products depends
primarily on:

     a.   The identification of those  aspects of  noise which are of concern
          in a particular situation.

     b.   A well-defined procedure for quantifying noise  emission.

     c.   The ability to relate the results of  measurement  to human
          response.

                     7.1.  Identification  of  Major Parameters

     The most important decision to be made in any measurement  process  is
the  determination of what to measure.   In noise abatement and control,  there
is not general agreement as to what quantities  should be measured —
primarily because of inadequate data relating the impact of noise to  the
exposure which produced that impact.

                        a.  Relationship to Effects

     The attempt to associate particular characteristics of sounds with
effects on  people have had mixed  results.  Some clear-cut findings have been
made — notably those dealing with intensity, speech interference and some
aspects of  annoyance (high  frequencies, pure tone components).  However,
other  effects often cited are less tangible although they might be
important.   Interruption of activities such as sleep, work and recreation
are  often  caused by noises  which  are  unpredictable, or of short duration an
need not be intense — yet  might  constitute major problems for the
 individual  from a  psychological and physical health standpoint.  For
 example,  a  person  who is  awakened regularly from sleep nightly by distant
 train whistles or  aircraft  overflights might be  exposed  to only moderate^
 noise levels for  a total of less  than one  minute during  that time and still
 have a major noise problem. Noise effects therefore cannot readily be
 treated independently of the typical  operating situation — including vho is
 exposed,  activities being performed and, finally, identifying the major
 consequences of the noise.

                        b.   Environment/Use Conditions

      Other effects which cannot be readily dealt with  in a rating  scheme,
 but nonetheless are often cited, concern environmental factors and use
 conditions.  For example, the low-frequency noise from trains  penetrates
 great distances under particular weather conditions, thereby affecting a
 large number of people usually not bothered by this sound.  Motorcycles an
 other vehicles are often operated in a manner that increases noise output
 rather than minimizes, it.  These are annoying both because of the noise ^
 intensity  and the  feeling that bystanders have that the noise is "louder
 than  is necessary.


                                    18

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                        7.2.   Measurement Parameters

     If history is a valid predictor of the future, there vill 'be consider-
able disagreement as to particular rating schemes which should be used to
describe the noise emission of products in terms which vill appropriately
predict human response to noise.  The important measurement parameters for
rating schemes are noise level, spectral quality, and temporal variation.

                              a.  Sound Level

     There is general agreement that, for a given spectrum shape and a given
temporal variation, annoyance, hearing loss, task interference, etc.,
increase monotonically with increasing sound level.  The difficulties  and
disagreements arise relative to the variation of noise level with frequency
(i.e., the spectrum shape) and with time.

                            b.  Spectral Quality

     Although there are many schemes for predicting loudness, noisiness,
annoyance, and so forth from the shape of a noise spectrum, it is perhaps
fortunate that only a limited number of these have been given official
status by regulatory agencies or standards bodies.

     Relative to the common weighting networks used in sound level meters,
it is reasonably well established that the A-weighted sound level (LA)
predicts most human response much better than the B-weighted (L_) or C-
weighted (Lp) sound level.  D-weighted sound level (L^J  has been adopted
specifically for aircraft noise.  Both Stevens'  and dicker's methods  for
computing loudness have been standardized, although significant
modifications have been proposed by Stevens that are not reflected in  the
standardized version.  Kryter's Perceived Noise Level (Lpjj) enjoys official
status through its use in calculating Effective Perceive^ Noise Level  C.LgpN)
for Federal aircraft certification (and has also "been standardized by  SAE
and ANSI).  The Air-Conditioning and Refrigeration Institute has a sound
rating procedure somewhat similar to LpN-  All of these  quantities are used
to predict annoyance due to noise.

     The Articulation Index (Al) has been standardized as a predictor  of the
extent to which steady noise interferes- with speech communication (for male
speakers only).  Owing to the complexity of the Articulation Index, several
versions of Speech Interference Level (SIL), based on the average of 3 or k
octave band levels, have been proposed.

                           c.  Temporal Variation

     For transient noise events, there is need for a means to assign an
overall noise rating to an event which includes  appropriate consideration of
"the extent to which duration affects human response.  The National Academy
°f Sciences-National Research Council Committee on Hearing, Bioacoustics,
                                    19

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and Biomechanics (CHABA)  proposed a hearing damage-risk criterion  for
impulse noise (gunfire) which specifically includes measures  of the  duration
of the pressure wave.   Both the L    and the single event  noise exposure
level (iwp,-.^) include  corrections to account for duration.  The
Environmental Protection  Agency has recommended the A-weighted average  sound
level (L  ) and the day-night level (.L, ) as general  descriptors of
environmental noise.
                                      20

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                 8.    Consensus  Procedures  for  Measurement  Standards

                             and  Rating  Schemes

                       8.1.   Input from All  Affected Parties

      In writing  measurement  standards and establishing rating schemes, it is
 important to consider the contributions to standards-writing of all the
 affected groups.  First, the voluntary standards bodies (for example, the
 American National Standards  Institute, American Society for Testing and
 Materials)  establish general standard test methods which reflect the most
 knowledgeable engineering and scientific practice.   The trade associations,
 representing the manufacturers, must implement test methods, and therefore
 in addition to technical input evaluate practicality, in terms of available
 facilities, personnel, training, etc., in adopting or developing test
 methods for their purposes.  Trade associations, however, are limited in the
 amount and  kinds of information that can be channeled through them.  Much of
 the information  the Environmental Protection Agency will need to ensure that
 mandatory standards are reasonable, technologically feasible and
 economically worthwhile will be supplied by industry and be of a
 confidential and proprietary nature.  Consequently, it will be necessary for
 the Environmental Protection Agency to communicate with individual
 manufacturers as well as with trade associations.  Regulatory agencies,
 acting on behalf of, and with input from, the consumer, set legal levels for
 each  class  of product, levels which must be technically and economically
 reasonable  for the affected  industry.  Obviously, to consider only a single
 element from this chain and ignore the contributions of the others, will
 markedly decrease the effectiveness of the standard or rating scheme.

                           8.2.   International Trade

      Several years ago the concept of standardization in Western Europe
 underwent changes that posed a serious threat to United States-European
 "trade.  These changes were the result of a projected "harmonization" program
 "to eliminate intra-European technical non-tariff trade barriers caused by
 differences in product standards.  It was clear that upon completion of the
 "harmonization" program, international trade within Western Europe would be
 virtually barrier-free and trade into Western Europe almost impossible[U].

      To maintain U.  S. viability in European trade, the United States
 delegation to the "Kennedy round" of trade negotiations has called for a new
 scheme called the General Agreement for Tariffs and Trade (GATT).   This
 agreement has identified over 800 non-tariff trade  barriers in existence
 today.  in February 1971, a new stage of the GATT non-tariff barrier work
was begun.   Rather than face the overwhelming task  of solving the whole
Program of non-tariff trade barriers, it was decided to concentrate on a few
— of which product  standards is one area.   Standards were chosen for
attention both because of their growing importance  and because it appeared
that progress might  be encouraged more readily in this area than in some of
the others[5].   A draft code on product standards was written and in May
1975, was accepted as a basis for negotiation[6].   A more thorough
Discussion  of this code is given in Appendix E.
                                      21

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      9.    Environmental  Protection  Agency Promulgation  of Regulations

                           9.1.   Special Requirements

     This section highlights  a few features  to be considered in conjunction
with the regulations (see  Section l)  to "be issued "by  the Environmental
Protection Agency.  Pertinent sections of the Noise Control  Act of 1972 are
reproduced in Appendix B.


                     a. Product Hoise Emission  Standards

     This report directly  addresses product  noise emission standards.

                                 b.  Labeling

     A meaningful label on a  noise-producing product  (or noise control
product) is dependent upon the existence  of  an appropriate,  reliable, and
repeatable measure of the.noise level that is reasonably well-tied to
subjective response to the noise.  Whether the measure is a  sound pover
rating, a weighted sound level at some distance  from  the device,  or a set of
octave band sound pressure level data, the problem is the conversion of this
technical acoustic data into  a labeling system which  will be understood "by the
public and will provide the appropriate amount and type of information for &*
non-technical audience it is  intended to  reach.

     Basically there are two  types of audiences  — the general public consume1"
and the business or industrial consumer.   In general, the public  will want a
label that is simple and easy to understand  to permit a comparison to be made
between the noise expected from one device as opposed to another. The noise
label then serves as a criterion, along with performance characteristics,
aesthetic quality, safety features, cost, etc.,  which the consumer evaluates-
Would he be willing to pay, for example,  $2.00 more for a blender that does
not annoy him or interfere with his listening to his  hi-fi system during tnf
blender's operation?  On the  other hand,  the business and industrial conununiw
will need additional information — either from  the label itself  or from-
application material developed to accompany  the  label. For  instance, it isp
not enough to know that you have purchased a "quiet"  machine, because if t*1?
machine is improperly placed you still  could have a noise problem.  An exairtp1
of this would be the building contractor  who purchases the quietest air
conditioning units available and then installs them in a location under a
bedroom window or next to a patio.  Even  though  the  unit might be quiet,
complaints would be made due  to loss of sleep or the  deprived use of the Pa
due to annoying or speech-interfering noise. The label, or  supplementary
material, should provide the  purchaser with  enough information so that he
sufficient data to determine whether or not  his  equipment .in situ will meet
the requirements of those noise ordinances which affect him, be they occupa"
tional safety and health regulations or sound level restrictions  at property
lines.
                                      22

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     Product  labels  can take various forms.  Appendix E contains a discussion
of  some of the  alternative methods which deserve consideration as possible
noise  labels.   It  should be noted that it vas the general consensus of the
advisory and  industry  groups which reviewed the initial draft of this report
that noise labels  should provide quantitative information as to the product's
noise  emission.

           c.   Low-Noise-Emission Product Certification Procedures

     To be eligible  for certification as low-noise-emission products, the
measurement methodology and rating scheme should be established first.  The
major  task is to decide what further noise reduction is necessary for a
product to be certified and whether or not there could be several grades of
certification with associated procurement costs.  If several grades are
established, the problems become very analogous to those discussed above
relative to labeling.  However, in an industry composed of many small firms,
"with little research and development capability, the economic cost of
acoustical measurements may be a significant factor.

        9.2.  Technical,  Economic, and Administrative Feasibility as It Relates to Measurement
     Fair and effective noise regulations must be technically, economically,
and administratively feasible and reasonable.  Generally, people consider
"technical feasibility only in terms of the technology available to quiet a
product adequately, the economical feasibility only in terms of the cost to do
so» and, if they think of it at all, administrative feasibility in terms of
enforcement of the regulations.  However, the measurement methodology must
also be feasible and reasonable.  The scientific and technical knowledge,
appropriate test facilities, and suitable instrumentation must be available to
carry out noise measurements of adequate accuracy and precision at a practical
cost.  The measurement and rating methodology and the testing and quality
control procedures should be suitable for reasonable monitoring by an agent of
"the regulating body.

     These factors should relate to the characteristics of the particular
industry, in selecting the measurement methodology for use in regulating a
Particular class of product.  For example, the air conditioning industry has
voluntarily set up a noise rating system based on one-third octave band sound
Power levels measured in a reverberation chamber — measurements which require
expensive test facilities, complex instrumentation, and technically
sophisticated personnel.

              9,3.   Compatibility with  Other  Regulations and Needs

     In promulgation of Federal noise emission regulations, care should be
taken to select measurement methodology, rating schemes,  labeling practices,
etc-, which complement, to the greatest extent practicable, other regulations
and needs.  For example:
                                      23

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    o Even if labeling requirements call for a single-number (or
     letter, or  color) rating scheme, it might be appropriate
     for labels  on industrial machinery to include octave-band
     data so the purchaser can select and design to meet Occupa-
     tional Safety and Health Administration (OSHA) regulations.
      (While current OSHA regulations of occupational noise expo-
     ure are expressed in terms of A-weighted levels, spectral
     information is often needed for engineering design purposes.)

    o Similarly,  since many local zoning ordinances are written in^
     terms of  octave band sound pressure levels at the property line,
      it might  be appropriate for the noise labels on outdoor equip-
     ment to provide sufficient data to permit prediction of
     property-line octave-band sound levels.

    o  Federal product noise emission standards should, wherever
      possible, utilize measurement methodology which is equivalent
      to,  or  compatible with, state and local operating regulations
      so a purchaser  can  determine the conditions under which he
      will be able  to operate a device in a given locality.

Many other examples  could be cited.  The major point is to carefully consider
all probable  uses of a  class of products and then structure the measurement
and rating methodology  so as to provide as much  information as practical in a
form to meet  the purchaser's manifold requirements.

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     10.    Recommended  Operational Procedure for  Generating Measurement

                  Methodologies  for  Specific Product Classes

     The recommended procedure for the efficient and timely generation of
measurement methodologies for specific prod-act classes is depicted in Fig-ore
2.

     Once a specific product class has been identified as a major noise
source, the Environmental Protection Agency, or its designated contractor,
would form a small ad hoc task group to provide key input data for the needed
measurement methodology.  This group would include, as a  minimum,
representatives of the Environmental Protection Agency, independent acoustical
consultants, manufacturers and, where appropriate,  users  and  representatives
of other government agencies at the Federal, state  and local  level.  Careful
selection of task group members would ensure a "broad spectrum of expertise
including:  detailed familiarity with the product category, its  design and
operation; knowledge of quality control and product testing;  expertise in
acoustics; and a familiarity with the regulatory process.

     Following formulation of the task group, meetings would  tie  held to
determine the existence and relevance of data "bases and measurement procedures
appropriate to the specific product class in question. Three possibilities
exist:  (l) a data base and/or measurement procedure exists and is relevant,
(2) a data base and/or measurement procedure exists but is not relevant, and
(3) a data base and/or measurement procedure does not exist.

     If the task group determines that the existing measurement  procedure and
attendant data base are relevant then the group vould recommend to EPA that a
Program be conducted to validate the data base as to its  accuracy and
completeness.

     On the other hand, if the task group determines that data bases and
measurement procedures either do not exist or are not relevant then the group
would recommend to EPA that an extensive investigative program be conducted to
evaluate alternative measurement procedures and to  establish  the needed data
^ase.  Such an investigative program would include  systematic variation of
source operating procedures, source loading, test site characteristics,
Aerophone locations and acoustic measurement procedures.

     Following completion of the investigative and/or validation programs, the
task group would reconvene and evaluate the results.  On  the  basis of these
results, they would prepare an outline for a draft  measurement methodology.
EpA, or its designated contractor, would then prepare a draft measurement
methodology which would be circulated to all members of the task group and to
a number of affected parties for comment.

     Once the draft methodology had been completed, the task  group would
recommend to EPA a list of selected industry representatives  who should be
      to carry out measurements in accordance with  the draft  standard.  Not

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                                Major Noise
                                Source
                                 Identified
                                 By EPA
                                 Task Group
                                 Established
                      YES
                                     I
Does
Relevant
Data Base
Exist?
NO
          Conduct
          Program to
          Validate
          Data Base
                «*•
          Draft
          Measurement
          Methodology
                   Conduct
                   Investigative
                   Program to Establish
                   Data Base
       Conduct
       Experimental
       Program to Validate
       Methodology
          Issue Final
          Methodology
Figure  2.   Recommended operational procedure for  generating  measurement
            methodologies.
                                          26

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only would this validate the measurement methodology,  "but it would also direct
attention to key problem areas and obtain data in suppor-t of simplified
measurement procedures.

     At the same time, representatives from EPA,  or its designated contractor,
should visit a representative number of manufacturers  or users of the major
noise source in question to:  (l) observe the use of the draft measurement
methodology, (2) to discuss use conditions, operating  procedures, and meas-
urement procedures, and (3) if necessary, to conduct supplemental
measurements.

     Utilizing information gained via the above procedures,  a final measure-
ment methodology, with supporting documentation,  would be prepared for each of
the candidate major noise sources.  To the greatest extent feasible,  the final
measurement methodology should draw upon, and be  consistent  with, existing and
proposed voluntary measurement standards.
                                    27

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                           References for  Part I

[l]   Griib"bs,  F.  E.,  and Coon, H.  J., On setting limits relative to specifica-
      tion limits,  Industry Quality Control 10_(5)  (195U).

[2]   Private  communication, R. H.  Lincoln (Outboard Marine Corp.,  Milwaukee,
      Wisconsin)  to W.  A.  Leasure,  Jr. (National Bureau of Standards,
      Washington, D.  C.),  January  11, 1973.

[3]   International Organization for Standardization Recommendation for
      Acoustics,  Assessment of Noise with Respect  to Community Response,
      R1996 (American National Standards Institute,  New York,  New York, 1971).

[U]   Simpson,  R. 0., The national  impact of the GATT standards code,  Materials
      Research and Standards 12.C7)  (July 1972).

[5]   Krauthoff,  L. C., II, World  standards for a world market, ASTM
      Standardization News l_(ll) (January 1973).

[6]   Travaglini, V., Removing "barriers  to trade through GATT, ASTM
      Standardization News 3.(ll) (November 1975).

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        PART  II     CONTENTS  OF  MEASUREMENT  STANDARDS


     Part II of this  report  encompasses the subject matter of measurement
standards for use in  conjunction with noise emission standards  to be
promulgated by the U.  S.  Environmental Protection Agency.   Part II is
designed as a checklist  for  the evaluation of the suitability of a noise
measurement standard  for  a particular class of products or, in  the absence of
a suitable standard,  as  a framework  for development of one.  The intent is to
identify and discuss  those factors which can impact on the accuracy,
precision, and applicability of noise measurements.

     Part II is structured similarly to a measurement standard. Each of
sections 12 through 18 contains information relevant to a  number of different
types of measurement  processes — e.g., measurements of sound power and sound
pressure; measurements made  in anechoic, semi-anechoic, reverberant, and
semi-reverberant spaces;  measurements made outdoors and indoors; measurements
made under laboratory and in situ conditions; measurements of overall
weighted sound level  and of  sound pressure levels in frequency  bands; etc.
Obviously, much of this  material will not be appropriate for any given
measurement standard.

     At the beginning of each section, the major factors to be  addressed are
outlined.  The remainder of  the section presents technical support material
needed to facilitate  an  appropriate  choice between alternative  options.
Information is given  as  to the type  and size of errors which may result from
different assignable  causes.  These  data are not intended  to be comprehensive
or definitive, but merely illustrative.

     Part II has been written with the assumption that it  will  be used by
People trained in the physical sciences.  Accordingly, basic concepts and
terms_ are^ used without definition or discussion.
                                     29

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                     11.   Purpose  and  Applicability

  • Every  measurement standard should include an introduction
    (1)  the group  that prepared  the standard, (2) the review process used
    for  approval of the standard^ and (3)  a clear statement of the
    relationship of the standard with other standards.

  m The  scope of the measurement standard should be a  concise abstract oj
    its  contents and should clearly delineate what is  and what is not
    covered by the standard.

  • The purpose of the measurement  standard should make clear  the reasons
    for establishing the  standard.

  • Existing standardized definitions should be utilized; those  terms
    to the measurement standard which have special  technical meaning of
    unique to a given industry require  definition,

  • All publications noted in the measurement  standard should be listed ^
    a separate  "References" section.

  • There  should be a clear statement of the acoustical quantity to be
    measured* e.g., sound pressure or sound power.

   • The range of applicability should be clearly stated in the measuremen '
    standard (i.e.; the types of noise sources (nature and size of
    and types of noise (steady and non-steady; periodic, aperiodics ra
    for which it is applicable) and  guidance should be provided as to
    accuracy and precision which oan be obtained utilizing the standard-

                             11.1.  Introduction

    Every measurement standard  should  include  an introduction or forevord
identifying the group  that  prepared the standard, including organizations
officially represented on that group, and an indication,  explicitly  or W
reference, of the  review  process used for approval of  the standard.  If  *
standard replaces, supplements,  or  complements  one or  more other standards'
that should be made clear.

                           11.2.   Scope  and Purpose

     The scope of a standard should be  a clear  and  concise  abstract  of its
contents.   It should clearly delineate  what is  and vhat is  not covered W
the standard — for example,  classes  of products  to  be included, types of
noise to be measured, range of acoustic environments,  and so  forth.

     The purpose of the standard should be briefly stated so  as  to  make
clear the  main reasons for establishing the standard.

     See  also sections 11.U and 11.5.
                                    30

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                        11.3.   Definitions  and  References

     Reference should "be made to existing internationally or  nationally
recognized definitions vhere applicable.  Unusual terms of measurement,
abbreviations, and symbols used in the standard should also be defined.   It
is recommended that the International System of Units (SI) be used
throughout the standard and that equivalent values expressed  in customary
U.S. units also be included when failure to do so would interfere  with
effective communications.  In the case of key quantities, e.g., distance
from the source to a microphone, it may be desirable to give  the numerical
value in the text in both SI and U. S.  customary units.  For other
quantities, it may be preferable to refer to conversion factors in  the
"Definitions" section.  For further guidance, the reader is referred to
[1-3]*.

     All publications referred to throughout the standard should be listed
in a separate "References" section.  Each reference should be up-to-date  and
should include all information required for clear and unambiguous
identification of the reference.  In referencing other standards, the full
title of the document, its designation (and date of issue, if this  is not
part of the designation) and the name and address of the issuing
organization should be given.  If a standard has more than one official
designation (e.g., an American Society for Testing and Materials standard
which has been adopted as an American National Standard), all known
designations should be included in the reference.  It should  be made quite
clear whether the intention is to reference only a particular issue_of a
standard or whether, if a standard which is referenced is later revised,  the
latest revision is intended.  If reference is to part of the  document only,
that part should be adequately identified so that in a later  revision the
pertinent material can be identified.

     Throughout the text, the following abbreviated reference forms may be
•used:
     Standards — the name of the issuing organization and the desig-
          nation of the document (e.g., American National Standard
          SI.13-1971)

     Laws, codes, and ordinances — title and number

     Other publications —these may be simply referenced by number, by
          author and year, footnoted, or the complete reference given
          in the text.
                  11.4.   Acoustical  Quantities to be Measured

     Under "Scope and Purpose," there should be a clear statement of the
acoustical quantity which is to be measured — sound pressures at one or
™>re particular locations, total sound power, or sound power plus direct-
ivity,  if a frequency-weighted quantity (e.g., A-weighted sound pressure or

*Hiures in brackets indicate the literature references at the end of
Part II.
                                     31

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power level) is to "be measured,  this  should "be  so indicated.  Usually this
will simply "be stated in very brief form without need  for  justification.
However, because of the prevailing arguments  as to what  quantity  is most
appropriate, a discussion is presented below.

     Noise ratings are derived from acoustical  measurements which fall  into
two groups :

     o Effective  (root-mean-squarel,  or instantaneous, sound pressure  level

     o Sound power level, plus directivity if desired.
 Some  acousticians are quite adamant in their preference for expressing
 ratings  in  terms of sound power rather than sound pressure — or vice versa--
 Since sound power is almost always computed from measured sound pressures ,  1
 is difficult to argue that sound power is inherently superior to pressure.
 However, the sound pressure resulting from a given source is strongly
 dependent upon the point .at which the measurement is made and can depend up°
 the environment in which both  the source and the measuring microphone are
 located.  Sound power level is a measure of the total sound power radiated
 the source in all directions and directivity is a measure of the spatial
 intensity distribution. Sound  power  and directivity are basically
 characteristics of  the  noise source  and hence  do .not need to be         ^ i
                                                 .
 terms of any particular measurement distance  (other  than that measurements
 should be made in the far field).   Sound power  is  less  dependent  on the
 environment in which the source is located than is sound pressure.  However*
 both the radiated sound power and the directivity  are influenced  by nearby
 reflecting surfaces, such as floors and walls.   In enclosed spaces, the  so
 power usually is less affected by the environment  than is  the  sound pressur
 at distances far enough away from the source to be in the  reverberant fiel
      As was mentioned above, the sound power usually must be computed
 sound pressure measurements.  This is accomplished simply and accurately ^
 two limiting cases:  (l) in the region of a free field beyond the near fie
 and (2) in a reverberant (diffuse) sound field.  In such fields the sound
 power can be calculated from the mean-square sound pressure, averaged over
 appropriate surface enclosing the source (free field) or averaged over
 volume of the room (reverberant field).  Close approximations to free-
 conditions can be  achieved in anechoic chambers, hemi-anechoic chambers
  (i.e., free field  over a reflecting plane), or outdoors.  Approximately
 diffuse  sound fields can be obtained in large, hard-walled reverberation
  chambers.  To determine the directivity of the source, an essentially
  free-field environment must be used.

       When acoustical  data  are expressed in terms of sound power, one  shoul
  be able  to  assume  that  the data  correspond to  the  far  field  around the
  source and that the sound power  is based on measurements at  a  sufficient
                                     32

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 number of angular positions to sample adequately  the field in all
 directions or by adequately sampling a reverberant  field.  Thus one can
 have a fair degree of confidence in using  the  sound power to predict sound
 pressure at a particular location in a particular environment.  If on the
 other hand, acoustical data are expressed  in terms  of sound pressure, these
 data should be accompanied vith sufficient information regarding the
 measurement location and test  environment  to enable one to infer the extent
 to vhich the data may be used  to predict sound pressure at other locations
 and in other environments.   Compare the following statements:

      The A-weighted total sound power level of the  machine was found to be
      93 dB re 1 pW.

      The A-weighted sound pressure  level of the machine, when resting on a
      hard reflecting plane,  was  found to be 69 dB re 20 yPa at a location 7
      m from the center of the  machine,  at  an angle  of ^5° relative to the
      axis of the machine, at a height of 1.5m  above the supporting plane.
      No other reflecting surfaces were within  50m of the machine.  Tests
      established that the measurement location was in the far field and
      that there were no significant variations in soured pressure near this
      location due to phase  cancellation between the signal reflected from
      the  supporting  plane and  the direct signal.

 Note  that the results  of sound power  determinations can be stated quite
 simply  since  measurement  location need not be specified.   A statement
 regarding local variations in  sound pressure due to phase cancellation
 frequently would not be made but can be quite important (see Sec-  15).   In
 the case  of the statement of sound pressure level, there  is no information
 about sound pressure  in other  directions.   Sound power  determination
 usually requires measurement of sound pressure levels at  a number of
 microphone locations.   Directivity information may be available  if desired
 (provided, of  course,  the measurements were made under  free-field
 conditions).   Some of  the arguments in favor of expressing noise emission
 in terms  of sound power have been summarized by Lang and  Flynn[^].

     In spite of the above endorsement, sound power  is  frequently  not the
 appropriate quantity to use for noise ratings.   As stated above,  sound
 power requires measurements in the far field of the  source in  a
 well-defined acoustic  environment.  The extent  of  the far  field  of
 Practical sources at any given frequency is not accurately known.   For  a
 source whose radiating surface has a representative  dimension, at  the near
 field is approximately circumscribed by the distances 2a  /\ or 2a,
"whichever is larger.  Here a, is the "dynamic"  dimension of the source,
vhich may vary considerably with frequency  and  can be estimated
 conservatively to be equal to the maximum source dimension, and  X  is the
                                    33

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wavelength corresponding to the frequency of operation.  Sometimes it is also
recommended that measurements be made at least one wavelength away from the
source.  If measurements are made with the source located an effective
distance, h, above a reflecting plane, measurements  should be made at a   ?
distance away of at least Uh.  The limitation to  distances greater than 2a /A
tends to be the most serious one.  At a frequency of 10 kHz, for instance,
the wavelength, X, is only . 03^m.  Assuming a source dimension of a = 0.5m»
the measuring distance must be at least 15m.   For real sources, the situation
would rarely be as bad as this.  The 2a /A limitation is based on a source
for which all points radiate coherently.  In many products, there are a
number of individual sources, a large number of vibrational modes are
excited, there may be aerodynamically-generated random noise, and the source
behaves more like an ensemble of small incoherent sources — in such a case,
the far field may begin very close to the source  even at higher frequencies.
Recent investigations[5-7] have demonstrated that an accurate determination
of the sound power emitted may be derived from sound pressure measurements
which are made quite close, say, one meter, to the machine whose noise
emission is being measured.  The validity of one-meter measurements has been
confirmed for all of the sources studied that emitted broad-band noise
without prominent discrete tones[5-7l«  If such close-in measurements yield
sufficiently accurate results, smaller test facilities may be used and
ambient noise requirements may be relaxed.

     Whether or not it is possible to make accurate  sound power determina-
tions, there are instances where it is distinctly preferable to characterize
or rate machinery in terms of sound pressure.  One of the most common of such
situations is when the noise rating relates to an operator location.  If the
operator stays at a particular location, the sound pressure level at the
position of his head is the most useful quantity  to  measure.  If the operator
moves around in some known area near to the machine, a spatial average of
sound levels over likely operator locations (e.g., a path around the machine
at ear level and arm's length from the machine) is appropriate.  In some
cases where an operator works near one of a large assemblage of machines, it
may be necessary to know the close-in (operator positions) sound pressure for
his machine and, in addition, sound power of the  other machines in order to
provide sufficient data to predict the total noise level at the operator
positions.

     One may be primarily concerned with the noise radiated in a particular
direction so that total sound power information is not needed.  Motor vehicle
noise ratings, for example, may not require total sound power information,
but only the sound pressure radiated to nearby communities.  Of major concern
is the noise radiated to the side of the vehicle, while noise radiated to'the
front, back, and top is of much less concern and  may be difficult to measure
for a moving source.  Thus sound pressure at a far-field sideline position is
a logical measurement which relates directly to the  noise levels in
communities.

     Sound pressure is the preferred quantity for sources, such as firearms,
which produce impulsive noise.  Here the instantaneous sound pressure and its

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 time history are required in order to characterize adequately the sound and
 assess the potential noise hazard.

      In general, sound pressure is appropriate if the listener location is
 well defined, the transmission to the listener does not differ much among
 typical applications, and, if it is desired to extrapolate the data to other
 locations, typical applications are such as to permit this to be done with
 adequate confidence.  Sound pover is usually more appropriate if information
 is needed to predict sound pressure in a variety of environments which
 significantly affect the resultant sound pressures.  All other things being
 equal, sound pover data are preferred for machines which are small enough to
 "be tested under laboratory conditions; if directivity is a significant
 factor, however, reverberation room measurements of sound power would not be
 aPpropriate since no directivity information can be obtained.
                            11.5.  Applicability

                            a.  Types of Noise

     The measurement standard should clearly state the types of noise for
which it is applicable.  This is important since some measurement
Procedures are not at all appropriate for certain types of noise.  The
folloving discussion of classification of noise by type is adopted from
American National Standard Methods for the Measurement of Sound Pressure
Levels, S1.13-19?l[8].

     The noises usually encountered in practice are classified as steady or
nonsteady noise.

     (l)  Steady Noise.  The level of a steady noise remains essentially
constant (that is, fluctuations are negligibly small) during the period of
observation.  (See section 8.U of [8] for a discussion of observation
times).  To the typical observer, a change in noise level of less than one
Decibel is not likely to be detectable while a six decibel change would be
considered significant.  If the average noise level is relatively constant
but the spectral distribution of the sound changes during the period  of
observation (as determined by listening), the noise shall be classified as
Unsteady.

          (a)   Steady Noise Without. Audible Discrete Tones.   This type of
     noise is  frequently referred to as "broad-band" noise;  prominent
     discrete  components and narrow-bands of noise are absent.   The plot of
     pressure  spectrum level versus frequency is  without  pronounced
     discontinuities.

          (b)   Steady Noise with Audible Discrete Tones.   This type of
     noise has components at one or more discrete frequencies which have
     significantly greater amplitudes than those  of the adjacent  spectrum.
     Clusters  of such components or narrow-bands  of noise may be  observed.
                                    35

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     The  spectrum obtained with a narrow-band analyzer has sharp peaks
     (prominent  single-frequency components) or steep gradients (narrow
     bands  of noise).

     (2)   Hongteady Noise.  The level of a nonsteady noise shifts signifi-
cantly during the period of observation.  This type of noise may or may not
contain audible  discrete tones.  The classification of nonsteady noises
depends upon the period of observation which must be defined for each meas-
urement .

           (a)  Fluctuating Noise.   The sound pressure  level  varies  over^a
     range greater than six decibels with the "slow" meter characteristic
     and does not equal the ambient level more than once during the period
     of  observation.  Alternatively, the noise may fluctuate between two or
     more  steady levels six or more decibels apart when measured with the
     "fast"  meter characteristic of a sound level meter.  Fluctuations
     occur because of beats between two or more audible discrete tones
     having  nearly the  same frequency.

           (1°)   Intermittent Hoise.  The sound pressure level equals the
      ambient level two  or more times during the period of observation.
      period  of  time  during which the level of the noise remains at an
      essentially constant value different from that of the ambient is of
      the order  of one  second or more.

           (°)  Impulsive Noise  (Bursts).  Impulsive noise has brief
      excursions of  sound pressure  (acoustic impulses) which significantly
      exceed the ambient environmental sound pressure.  The duration of a
      single impulse  is usually less than one  second.  Two subcategories of
      impulsive  noise are:

                Isolated Bursts.   One  or more  bursts occur during the peri°
           of observation.   The  envelope of  the burst waveform may  be that
           of a decaying transient or  it may be of  essentially constant
           amplitude, for example,  a tone burst.  The burst  spacing (time
           interval between bursts) is such  that  each burst  is individually
           distinguishable with a sound-level meter.

                Quasi-Steady Noise.  A train of two or  more  bursts  occur
           during the period of observation.  Individual bursts in the trai
           may have equal or unequal amplitudes and the burst spacing (ti"16
           interval between bursts) may be uniform or  nonuniform.   As the
           burst repetition rate increases,  the resolution of individual
           bursts by a  sound-level meter becomes difficult;  the noise is
           then classified as quasi-steady.

       In specifying the measurement of impulsive noise, it is important to
       be very clear as  to the quantity desired:  peak instantaneous sound
       pressure  or peak root-mean-square sound pressure averaged over a
       short, and specified, averaging time.
                                      36

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Examples of different types of noise sources are given in Table 2.

      The acoustic environment has a strong influence on the types  of noise
"which can be measured therein.  Because a reverberant, or semi-reverberant,
room acts to average sound pressures over time, information cannot  be obtained
concerning the short-term temporal variation of noise emission.   Particular
caution is necessary in reverberant room measurements if the noise  emitted by
the source contains significant discrete frequency and/or low frequency
components (see sections 12.2 and 15).

      All types of noise can be measured in an anechoic space or a  hemi-
anechoic space (i.e., free field conditions over a reflecting plane).   In
conducting measurements over a reflecting plane, particular caution is required
if the noise emitted by the source contains significant discrete frequency
components or if a narrow-band frequency analysis is desired (see sections
12-2,  12.6 and 15).
                                  Table 2

              Examples  of Sources  of Different Types of Noise
               Steady
                                            Nonsteady
          Without Audible
          discrete tones

            Distant city
            Waterfall

          With Audible
          discrete tones

            Circular saw
            Transformer
Fluctuating

  Heavy traffic (nearby)
  Pounding surf

Intermittent

  Aircraft fly-over
  Automobile passing by
  Train passing by

Impulsive Isolated Bursts

  Drop forge hammer
  Dog barking
  Pistol shots
  Door slamming
  Electrical circuit breaker

Quasi-steady Noise

  Riveting
  Pneumatic hammer
  Machine gun
                                    37

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      Different types of noise may require different  types  of instrumentation
(see section 13).  Accordingly a measurement standard must  call  for  specific
instrumentation performance characteristics; that standard  will  generally not
be suitable for all types of noise.

      Departing now from the classification of noise  by type  as  given  in
American National Standard Sl,13-19Tlj  it is also useful to classify noise as
being deterministic or nondeterministic.  -Deterministic signals  can  be
described as an explicit function of time; nondeterministic signals  cannot.
Deterministic signals are periodic or aperiodic.   Periodic  signals repeat
themselves in their entirety over some  time interval.   Aperiodic signals are
every other type of deterministic signal.  Nondeterministic signals, also
referred to as random signals, may be described statistically.   The  probability
function for time-varying wave forms indicates the relative frequency  of
occurrence of the various instantaneous values of the wave  form.

      The accuracy vith which an acoustical signal can be measured depends
upon, among other things, the rise time and the averaging time of the
measurement system.  The signal must be "looked at" long enough  for  the
instrumentation to respond and, in the  case of nondeterministic  signals, long
enough to obtain a suitable average (see  section  13).

                         b.  Nature and Size of Source

      A noise measurement standard should include an  indication  of the types of
noise sources encompassed.  This should include such  factors  as  stationary or
mobile, size of source, allowable operating characteristics,  etc.

                          c.  Measurement Uncertainty

      A noise measurement standard should provide guidance  as to the
measurement uncertainty which can be tolerated in each regulatory situation.
To have operational meaning, the uncertainty of a measured  value must  be given
relative to some actually achievable and  nationally accepted  reference.  To do
this, a clear statement of what would constitute  the  nationally  accepted answer
is needed.  In some cases references to standards.as  maintained  by a national
laboratory may be sufficient; in others the reference may be  a consensus of
many laboratories.

      The current International Organization for  Standardization standards and
draft standards for determination of sound power  emitted by stationary noise
sources associate with each document[9-15] one of the following  grades of
accuracy:  precision, engineering, and  survey. Within each document a
statement such as the following is made[l^]:

      Measurements made in conformity with this International Standard tend to
      result in standard deviations which are equal to or less than  those given
      in tables 2 and 3.  The standard  deviations of  tables 2 and 3  reflect the
      cumulative effects of all causes  of measurement uncertainty, excluding
      variations in the sound power of  the source from test to test....
                                   38

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      Table  2.   Uncertainty in determining sound pover levels of sound sources
                in  anechoic rooms
Octave Band
Center Frequencies
Hz
125 to 500
1000 to kOOO
8000
One-Third Octave Band
Center Frequencies
Hz
100 to 630
800 to 5000
6300 to 10000
Standard Deviation
of Mean Value
dB
1.0
0.5
1.0
     Table  3.  Uncertainty in determining sound pover levels of sound sources
               in  semi-anechoic rooms
Octave Band
Center Frequencies
Hz
125 to 500
1000 to HOOO
8000
One-Third Octave Band
Center Frequencies
Hz
100 to 630
800 to 5000
6300 to 10000
Standard Deviation
of Mean Value
dB
1.5
1.0
1.5
 This particular example corresponds to precision measurements in anechoic and
hemi-anechoic environments.  Analogous tables are contained in the other draft
 standards.  These documents also include discussions of the major causes of
 uncertainty.

      Whenever possible, the standard should specify the components of variance
which should enter into the uncertainty statement and the means for determining
 a realistic limit to the offset of the process from the "accepted" process as
 defined in the standard.  In addition, the standard should specify the type of
 evidence needed to establish that the measurements arise from a measurement
process which is in a state of control (i.e., has predictability).

      If a noise regulation for a particular class of products requires all
noise measurements to be made in accordance with the same measurement  standard,
and if the inter-laboratory reproducibility is excellent, that may be
acceptable even if a systematic bias is suspected since that bias would affect
all measurements similarly.  On the other hand, a measurement process  might be
capable of producing results that would average out,  over a very large number
of measurements, to be quite accurate but the imprecision could be so  large as
to be unacceptable.   In general,  and if sufficient knowledge exists, a
statement such as the following should be made:

      Measurements made in conformanse with this standard tend to result in a
      standard error of X dB and a systematic error of not more than ±Y dB.

      Provided that  separate statements of imprecision and systematic  error are
included,  it is acceptable to present a statement placing bounds  on the
                                     39

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inaccuracy, i.e., the overall uncertainty of measured values.   In  general,  the
"bounds indicating the overall uncertainty should not "be numerically  less  than
the corresponding "bounds placed on the systematic error outwardly  increased by.
at least three times the standard error.   For example:

      ...result in an overall uncertainty of ±5 dB based on a  standard error of
      1.0 dB and an allowance of +2.0 dB for systematic error.

      Considerable care must be taken in selecting values for  the  standard
error and systematic error which are appropriate for use in a  measurement
standard.  The standard error should correspond to the reproduciMlity among a
number of laboratories, rather than the repeatability in a given laboratory.
Similarly, the allowance for systematic error should correspond to that of the
measurement standard as realised in a given laboratory.  Thus, the statement
just prior to this paragraph should be interpreted as indicating that, if a
very large number of laboratories vere to carry out measurements on a given
noise source, approximately 99% of the laboratories would obtain values within-
+_ 3 dB  {corresponding to 3 standard errors) of the mean of all the values and
that mean value  (assuming enough laboratories participated so that the mean of
the values obtained did not differ significantly from the mean of an infinite
population of laboratories) would not differ from the "true" value "by more than
+2 dB.

      Neither the standard error nor the  systematic error bound are easy to
obtain.  Selection of appropriate values  should be carefully  considered "by the
group preparing  the standard.  A worthy,  but difficult goal is to specify the
test environment, the source-operating procedures, and the measurement and
calibration procedures  to maximize both  accuracy  and precision while minimi^illg
the time,  difficulty, and cost of conducting the test.

      All  in  all, it  is  the  "quality" of measurements which is at issue.  This
  quality  depends on  a  variety of factors including  the  operator, the  environ-
ment t  the  item or quantity "being measured,  the  instrument, etc.  Specification
on the  instrumentation  (e.g.,  traceability, re-calfbration  schedule, etc.)
particularly  when the results  are done under the extremely restrictive con-
 ditions of a  laboratory may  not give valid indications of the performance  of
the instrument in routine use.  In regulatory measurement,  it is particularly
 important  that the  focus be  on the  correctness  of individual  measurements,
because of the  cross-examination"  to which the measurement will be submitted
 in legal proceedings.   The  decision  as  to the  adequacy of measurement  should
 not he allowed to  depend solely on pro form traceability requirements rel
 to the scientific  evidence which  is  needed to  determine  the uncertainty  of
 measurement (see Appendix C).
                                      UO

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                          12.   Acoustic Environment

    •  The measurement standard should specify and provide criteria for the
      evaluation of the allowable test environment(s), e.g., aneohoia*
      hemi-anechoio (free-field over a reflecting plane)3 reverberant and in_
      situ.

    •  For  those cases where  the background noise is significantly3 but less
      than 10  dB below the noise being measured* the measurement standard
      should provide correction factors.

    •  The measurement standard should include restrictions on external
      factors which can affect the sound pressure level at a particular
      point or  the  accuracy of the measurement of that sound pressure level.
      Allowable ranges of temperature, barometric pressure3 humidity and
      wind over which measurements may be made as well as restrictions on
      vertical  and  horizontal (ground plane) reflecting surfaces and
      corrections for the effects should be included wherever possible.

      In Section 5.2, a brief discussion was given of the effect of the
environment on the noise levels produced "by various sources.  From this
discussion it  should "be clear that meaningful measurements of noise
emission generally can be made only in a veil-characterized acoustic
environment.   Whenever the noise source can "be moved readily into a lab-
oratory, or other  controlled environment, it is generally preferable to
make  acoustical measurements there rather than to be subject to the
vagaries of nature  and the need to characterize a new acoustic environment
every time a test  is carried out at a different location.  Due to the size
or mobility of many noise sources, however, it is frequently necessary to
conduct measurements outdoors at a particular test site or, either outdoors
or indoors, in situ.

                          12.1.   General Requirements

      Four basic test environments frequently are used for acoustical
measurements:

      Anechoic — An anechoic (meaning "without echo")  environment is
usually obtained in an, indoor chamber,  or room, in which the walls, floor,
and ceiling are specially treated to absorb virtually all of the incident
sound energy.  An anechoic space can also be obtained outdoors, by
suspending the test specimen well away  from the ground or other reflecting
objects.  An anechoic space can sometimes be well approximated in a large
room, without  special acoustic  treatment of the room boundaries, if
measurements can be made close  enough to the source that there is
negligible contribution from reflected  sound energy.

      In an anechoic environment,  "free  field" conditions prevail and the
noise emission characteristics  of a source can be determined simply from
measurements of sound pressure  in the far radiation field (see Sec.  15)  of
the source.   In general, any type of noise signal can be measured in an


                                    Ul

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 anechoic environment.  A  particular  advantage of an anechoic environment is
 that the directivity of the radiated sound field can be measured.  Several
 limitations to the use of anechoic environments are:   (l) the high cost of
 anechoic chambers, (2) difficulty in suspending large  sources well away from
 any reflecting surface, and (3)  difficulty in providing for operating loads,
 heat loads and exhaust emissions.*

 Hemi-Anechoic — A "hemi-anechoic" environment is one  in vhich free-field
 conditions exist in the half-space on one side of a totally or partially
 reflecting plane.  Usually a  hemi-anechoic space is the free space above a
 hard, reflecting, horizontal  surface but the concept can be extended to include
 free-field measurements near  any partially reflecting  surface.  A hemi-anechoic
 space can be obtained in  an indoor chamber with the walls and ceiling acousti-
 cally treated as in an anechoic  chamber but  with the floor acoustically hard
 and reflecting.  A hemi-anechoic space  can also be obtained outdoors, with the
 test specimen resting on  or above a  paved surface.  Occasionally outdoor
 measurements are made oyer a partially  reflecting surface such as grass.

       In a hemi-anechoic  space,  as  in an anechoic space, noise emission is
 determined from sound pressure measurements  in the far radiation field of the
 source.  Measurements are complicated,  however, by interference effects due to
 the combination of direct sound waves and waves, from the reflecting plane.
 This results in local maxima and minima in the sound field and considerable
 spatial sampling often is required  to obtain meaningful results  (see  Sec.  15)-
 In general, any type of noise signal can be  measured  in a hemi-anechoic
 environment.  Directivity inforiaation can be obtained  under  conditions typical
 of use conditions for many types of equipment --  e.g., over  a reflecting plane-
 There is  no particular difficulty in supporting or  operating large  or mobile
 equipment.  In  conducting outdoor measurements considerable  difficulties  can
 arise due to wind, rain,  humidity and temperature.

       An  extension of the hemi-anechoic environment  is a  free  field adjacent to
 two or three intersecting reflecting surfaces.  This  could be useful when a
 product is normally so installed.
*The time required to make measurements  at  a  large  number  of microphone
locations, in order to obtain adequate spatial averaging in an  anechoic
environment, has been indicated as  a reason for preferring reverberant-
field measurements to free-field measurements.  However, as the under-
standing of the requirements of reverberant room sound power determinations
has increased, it has become clear  that  many  microphone locations,  and
frequently several source locations, also are needed for adequate sampling
in reverberant fields.  If only A-weighted sound power, rather  than
spectral information, is needed, anechoic chamber measurements  may  be
easier than reverberation chamber measurements since, in reverberation room
measurements, it usually is necessary to determine  sound power  versus
frequency and compute A-weighted power rather than  measuring A-weighted
levels directly as can be done in an anechoic chamber.

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Reverberant — Reverberant field measurements are carried out in a ro<
vith acoustically hard walls (i.e., low sound absorption) such that sc
waves undergo many reflections "before being absorbed.  Reverberation ri  ~.j
are typically equipped with stationary or moving diffusers to increase the
uniformity of the reverberant sound field.

     In a reverberation room, one measures sound pressure level and
computes total sound power, the computation being based on the premise that
the mean-square sound pressure averaged in space and time is (l) directly
proportional to the sound power output of the source, (2) inversely
proportional to the total absorption in the room, and (3) otherwise dependent
only on the physical constants of air density and velocity of sound.
Reverberant room methods are particularly advantageous for sources which
produce steady noise and for which directivity information is not required.

     Noise measurements in a reverberation room are dependent upon accurate
measurement of the sound energy density, in the frequency bands of
interest, in the reverberant field of the room with the noise source in
operation.  In order to obtain such accurate measurements it is desirable
for the room volume to be sufficiently large (see Sec. 12.2) that many
normal modes are excited in the room.  At low frequencies and/or when the
room is excited by pure tones or very narrow bands of noise, it is common
for only a few modes to be excited and accurate measurement of energy
density requires very extensive sampling of the sound field, preferably
with the use of moving diffusers.

In Situ — Certain types of equipment cannot, for practical reasons, be
operated outdoors or in a laboratory environment.  When the noise emission
of a source must be measured in situ, it is highly desirable to utilize
procedures which approach, as nearly as possible, one of the three cases
just discussed.  Two of the recent Draft International Standards for sound
power determination[l3,15] include provisions for correcting for a.
less-than-ideal acoustic environment.  The need for such corrections would
almost always imply a degradation of measurement accuracy.

             12.2.   Criteria  for Adequacy  of  the Test Environment

     This section includes more detailed discussions of the criteria which
each of the above four types of acoustical environment should meet.

                         a.  Anechoic Environment

     The Draft International Standard for precision determination of sound
power in an anechoic chamber[lU] states (Annex G) that "the volume of the
test room shall be large enough so that the microphones can be placed in
the far radiation field of the sound source under test, without being too
close to the absorptive surfaces of the test room."  It is instructive to
consider briefly the measurement error that might result due to reflections
from the wall of an anechoic chamber.

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     Consider a situation such as  shown in Figure  3, with a sound source in
an anechoic chamber and a measuring microphone  in  the  far radiation field of
the source.  It is assumed that the source emits a spherical sound wave at an
angular frequency w = 2-rrf.  The instantaneous pressure of the emitted wave
can be expressed as
                              P
                    Pe(r,t) = - cos [u(r/c - t)],                     (1)
where P is the amplitude (Pa) of the pressure at a unit radial distance,  r  -
1 m from the source, t is time (s), and c is the velocity of sound (m/s)  in
the medium.  The wave reflected from the chamber wall may "be approximated by
a wave emitted from an image source a distance L to the right of the
effective location of the chamber wall.*  The instantaneous pressure of the
reflected wave can be expressed as


                               RP
                    Pr(r',t)  - p- cos[w(r'/c - t)  + $],                (2)


where r' is the distance from the image source to the measurement location,
is the magnitude of the pressure reflection coefficient of the chamber wall
normally-incident plane waves, and  is a phase angle which depends on the
acoustical impedance of the chamber wall.  For normal incidence, r1 = 2L -  r.
The amplitude of the total pressure, p = p  + p , will be between the following
limits:
 the lower limit  corresponding to destructive interference and the upper
 corresponding to constructive interference.
 *The analysis given in this  section  is  fairly accurate  for estimating the
 effect of the reflecting plane in hemi-anechoic measurements or the effects
 of the walls in reverberation measurements.  It is  less accurate  for "soft"
 walls such as those in an anechoic chamber.  In addition, since the absorp-
 tive lining of an anechoic chamber has  considerable thickness, the "effective
 location" of the wall is uncertain.   Thus  the analysis  which follows is
 intended to qualitatively show effects  but should not be taken too seriously
 in a quantitative sense.  More exact analyses of  the sound field  due to  a
 point source near a partially reflecting boundary are given by[l6,17], which
 also reference earlier work.

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                                           EFFECTIVE LOCATION
                                           OF CHAMBER WALL
           SOURCE
                      MICROPHONE
                             T
IMAGE
SOURCE
Figure 3.   Schematic representation of a sound source in an anechoic chamber.
           The sound field produced by a source and its "image" only approxi-
           mately represents the actual sound field.

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In terms of mean-square pressure ratios,

                          ,2
Converting to sound pressure levels,  the difference, AL, between the measured
level and the level in the absence of reflections is bracketed by:
                   20
log [l - ff]  < AL <  20 log [l + |*J .          (5)
where "log" designates the common logarithm (base iol  and where  rR/r'
represents the ratio of the magnitude of the reflected pressure,  at  any r, "to
the magnitude of the incident pressure, at the same r.  Thus  the measured
deviation of the pressure from that of  a spherically  spreading  wave depends
on the product of two independent, non-dimensional parameters, R, and r/r'.^
R depends on the wall impedance only while r/r' accounts for  the reduction i*1
the reflected pressure at any point r due to the spherical spreading of the
pressures from the real and image sources.

     Defining


                                   "a-*-
the range of the maximum sound pressure level deviations from a spherically
spreading wave becomes, from  eq.  (5),

                       20  log U-nR]  
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                                IL
                  0.99
0,95
0.90   0.85
CD
•o
UJ
O

Z
  k.   Maximum range of uncertainty in the sound pressure level  in an

       anechoic chamber as  a function of 1^ and E^t defined in the text

       (for single wall, normal incidence).

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      A standard for noise measurements in an anechoic  chamber  should provide
guidelines for constructing a suitable chamber and specify  criteria for
ascertaining its adequacy (see Annexes A and G of
      The usual procedure for determining the adequacy  of an  anechoic  chamber
is to measure the pressure falloff as a microphone is moved a distance, r, away
from a source which has been selected so as to radiate  essentially a spherical
wavefront so that the sound level should fall off as L  =  L  -20 log r, where
L  is the sound level at unit distance from the acoustic  center of the source
(assuming that one is in the far field at a unit distance) — this corresponds
to a 6 dB decrease in sound pressure level for every doubling of the distance
from the source.  Returning to eq. (6), it is illustrative to plot the sound
level versus measurement distance from the source.  This  is done in Figure 5
for R = 0.2 (a = 0.96); the values selected for other parameters are given in
the figure caption.

      As indicated previously, the analysis above is only approximately correct
for real anechoic chambers.  Particular difficulties could occur in some
instances, for example:

    - microphones placed near room edges or corners could receive reflections
      off two or three walls thus increasing the error

    - highly directional sound sources can cause particular problems due to
      sound emitted from the "louder" side of the source  being reflected into
      microphone locations on the "quiet" side of the source.

      An additional, and quite useful method for checking for unwanted re-
flections in anechoic chambers is to use a pulsed sound source or a correlation
technique to determine not only the magnitude of the reflected energy  but also
the surface (e.g., supporting structures) from which the 'sound is being
reflected.

      The principal limitations on microphone locations in an anechoic chamber
are (l) to get the microphone far enough away from the  source to be in the far
radiation field (see Sec. 15) and (2) to keep at least  a  quarter-wavelength, at
the lowest frequency of interest, away from any part of the absorptive lining
of the chamber to ensure that the sound pressure does not start to fall off
rapidly due to the proximity of the absorptive material.

      Useful references concerning the design and qualification of anechoic
chambers include [ 18-26 ].

                         b.  Hemi-Anechoic Environment

      Qualification of a hemi- an echoic environment is essentially the  same as
that of an anechoic environment ,  The test source generally should be  placed as
close to the reflecting plane as possible to promote spherically divergent
waves and thus minimize the influence of reflections from the plane.

-------
    CD
    •o
     :  -5
    UJ
    UJ
    DC
    CO
    a
    cc
    Q.
    o
    CO
    UJ
    <

    cc
-10
        -15
        -25
                                                          I    I   r
                  \
                    t
J
•
1 1 1 1 1 1 1
                                                                      10
                                    DISTANCE, m
Figure 5.    Hypothetical variation of sound pressure level versus  distance as
            one wall of an anechoic chamber is approached.  The dashed line
            indicates the fall-off (inverse square lav)  that vould "be expected
            in the absence of any reflections from the wall.  The  points were
            computed from the sura of eqs. (l) and (2) assuming f = o)/2i7 -
            100 Hz, $ - IT, and R = 0.2.  The effective location of the
            chamber wall was taken as 10 m from the source.
                                    1*9

-------
     In addition to measuring the  falloff of sound pressure with distance to
determine the effectiveness  of the five absorbing surfaces, it is necessary
to check the reflectivity, or absorption of the reflecting plane.* The
current Draft International  Standards  for "both engineering[ 13] and
precision[lU] determinations of  sound  power in a free field over a reflecting
plane call for the normal-incidence energy absorption coefficient, a, to be
less than 0.06 (R > .97).  This  criterion normally would be met for dense
concrete but the absorption  might  be too large in the case of unsealed
asphalt pavings or certain types of floor coverings.

     An indication of the reason for setting what may seem to be a rather
strict requirement on the absorption of the reflecting  plane follows from an
extension of the analysis given  in the previous  section.  Consider Figure 6,
which shows a spherical source located above a reflecting plane.  The
microphone is no longer required to be directly  between the source and  the
image source.  With r and r1 defined as  shown in Figure 6, eqs.  (l) through
(9) remain valid, for a locally-reacting plane.  The limits of eq.  (.5)  are
shown in Figure 7, plotted against both  R  and a  with r/rr as a parameter.
The upper limit on the measured  sound pressure level is seen to be rather
insensitive to the value of a since when the reflected  signal is in phase
with the direct signal and r/r'—*•!, the combined  signal  level can be at most
6 dB above the direct signal. However when the  reflected signal is out of
phase with the direct signal, the combined sound pressure-*-0 as r/rr—*•! an
cfr—*-0.  In order to be in the far radiation field  Csee  Sec. 15), it is
generally necessary that r/r?—+-1 so the sound level in regions  of phase
cancellation  depends strongly on the value of a.  For  a source which radiates
uniformly in  all directions, requiring a  to be  less than about  0.06 ensures
that the sound level in such regions will be sufficiently below  the level in
regions of phase reinforcement that no significant error, relative  to the
levels corresponding to a perfectly-reflecting plane,  in the  measured noise
emission will occur (provided, of course, measurements are  made  at  enough
locations to  ensure adequate spatial averaging).  For highly  directional
sources, still  stricter requirements on a might be needed.

      The normal-incidence energy absorption of the material constituting the
reflecting plane should be  measured, for example, in accordance  with[27]-
Measurement  of  such low absorption  coefficients is difficult  by an impedance
tube technique  and care is  required to obtain accurate data.   A direct
measurement  of  the pressure reflection coefficient might be preferable, for
example  by pulse or correlation techniques, but no current standard method of
measurement  exists.
 *In the case of outdoor measurements, of course, there will be no walls and
 ceiling to be concerned with.   However, site qualification is very useful to
 determine the influence,  if any,  of nearby reflecting or absorbing surfaces.

-------
                                           MICROPHONE
                  SOURCE
                                              REFLECTING
                                              PLANE
                  IMAGE
                  SOURCE
Figure 6.  Schematic representation of a sound source in a free field above
          a reflecting plane.

-------
                  0.99
0.98
0.96  0.94   0.90
0.8
 CD
 •o
 o
 o
 OJ

                                    I    I   I   I  I  I  I I
                                           r/r'
      -40
           0.01    0.02
Figure 7.   Limits for  the effect of the image source (see Figure 6)  on the
            observed sound pressure level as a function of the absorption
            coefficient of the reflecting plane with r/rr as a parameter
            solid lines correspond to destructive interference while the
            line corresponds  to  constructive interference.
                                    5.2

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       If the reflecting surface  is not an integral part of the hemi-anechoic
 environment care must be taken to ensure that noise sources cannot excite the
 reflecting surface  into vibration of such magnitude as to radiate significant
 sound energy.   If there is  any question that this might occur, acoustical
 and/or vibration measurements should be made to estimate the energy radiated by
 (as opposed to reflected from) the reflecting plane.

      Corrections for the influence of the acoustic environment,  other than
 the major  reflecting plane, are discussed"in Section l6.2.

                        c.  Reverberant Environment

      Particularly in the case of noise measurements in reverberant envir-
 onments, it  is difficult to separate the adequacy of the test  environment
 from  the adequacy of the entire measurement process.   In Section 15,
 attention will be directed to such factors  as the variation in sound  pover
 output due to source location, spatial variation of sound pressure, and  the
 use of reflecting elements to increase the  "diffusehess" of the  sound
 field.  In the present section the properties which the room should have
 will be considered.

     Early workers developed the basic reverberation room theory using
 certain simplifying assumptions:   (l)  uniform,  diffuse distribution of
 sound energy throughout the room at any instant;  (2)  equal  probability of
propagation of sound in all directions;  (3)  continuous absorption of  sound
by the room boundaries.   The assumptions were those of geometrical
acoustics, in which sound energy is considered to  travel in rays  and  all
wave phenomena are neglected.

      The sound energy in a reverberant room can be considered  as two  com-
 ponents, that in the direct field of the source, which has  not yet suffered  a
 reflection from a room boundary, and that in the "reverberant  field", which
 can be somewhat arbitrarily defined as that sound which has undergone one or
 more  reflections[28, p.311].  Of the total  power,  W,  emitted from the source
 a fraction,  a W, will be absorbed at the first reflection,  leaving a  total
 power of (l  -°a  )W in the reverberant field.  Here the absorption
 coefficient, a ? corresponds to an appropriate average over the  surfaces of
 the room, with°account being taken of variations in the absorption
 coefficient  as a function of location and angle of incidence.  Note that a
 does  not correspond to a diffuse field absorption coefficient  since there °
 certainly is not an equal probability of the energy,  directly  from the
 source, arriving from all possible directions.
     Conservation of energy requires that:
     Rate of increase
     of reverberant
     energy in room
Rate of emission of
energy from source
into reverberant field
 Rate of absorption"
 of reverberant
_energy
                                    53

-------
In the spirit of the assumption of a uniform diffuse reverberant sound
the rate of absorption of reverberant  energy at any given instant of t
should be proportional to the sound energy density in the room at that
instant.  The total energy in the reverberant  sound fiel V * ™R ' ^ber ant
the volume (m3) of the room and D is  the energy  density in the reverberan
sound field (Jm-3).  Thus the differential equation which follows from the
above statement of energy conservation is
                                                                    (10)
 where  T is a characteristic time which defines the rate of sound absorption
 in the room, whether by the walls, the air in the room, or by other
 surfaces  such  as  diffusers.  Under steady-state conditions (dDR/dt = 0}»
 the energy density  is given by

                         T(! -  a  )W
                     R      2V       '


  The energy density in a diffuse sound field can be shown to be equal to
  p /pc , where p  is the mean-square sound pressure (Pa  ) and p is the
  density of air (kg m  ) in the room;  thus


                    _   pc2T(l - a )W
                    -  2  = _ - . - °__                              (12)
                    PR        2V
   is the mean-square sound pressure in the reverberant field only.

        If the reverberant sound energy density is assumed to have a constant
   value, and, at time t = 0 the sound power input is suddenly turned off*
   energy density will decay as
                             _
                     DR  dt  "   T   '

   so that T also is seen to be the  time  constant which defines the rate of
   decay of the reverberant sound field;  alternatively


                          ^     2
                        dt         T
   where "An" designates the natural logarithm (to the base e - 2.71828. ...)>
   indicating that T can be directly obtained by measuring the rate of decay
   of the sound pressure level when the source of sound power is turned off*

-------
                                                         2   2
     Converting to  sound pressure level, L   = 10 log (pR /p  ), where p

 20 micropascals (yPa) is the reference pressure, and sound power level, L.,
 = 10 log  (W/Wn), where W~ = 1 picowatt (pW) is the reference power, eq.
 (12) becomes
+ 10
                                            + 10 l°g        dB.      (15)
 The time constant, T, is related to the commonly used reverberation time, T
 — the time required for the sound field to decay by 60 dB  — by the relation
 T = 6.91-r, the non-integer number arising from the conversion between natural
 and common logarithms.  The last term in eq. Cl5) can be evaluated by
 recalling that for an ideal gas, pc  = yB» where y is the ratio  of specific
 heats (= l.U for air) and B is barometric pressure (Pa).  Utilizing these
 quantities, eq. (15) can also be written as
                a )]
                   j +
               Lp  =1^ + 10 log  - y -  + 10 logB - 36.0  dB.   (16)


Equation (l6) is analogous to the corresponding expressions in the  current
international [10] and national [29] standards for determination of sound
power in reverberation rooms, with the following differences:

    _ the constant term differs because the barometric pressure in the
     standards is expressed in millibars (l bar = 10  Pa);

    _ there is an additional term in the standards arising from interference
     effects near the room boundaries; the above derivation neglects  such
     effects ;

    -the standards do not include the term 10 log (l - aQ); this  will be
     discussed shortly.

In order to ensure that the sound field "sees" the same effective absorp-
tion in both the steady-state power determination and the transient decay
rate for reverberation time measurement, the sound source used to excite
the room for reverberation time measurements preferably should be in  the
same location and have the same directivity as the source whose sound power
is being determined.

     An alternative method of measuring the effective room  absorption is by
use of a reference sound source of known sound power output.   This  known
source should be at the same location as the unknown source and preferably
have a similar directivity.   Looking at eq. (l6)  for tests  on  two sources
under otherwise identical conditions,
                                     55

-------
so that no explicit knowledge of room properties is required.

     These expressions are based upon measurements of the mean-squared sound
pressure of the reyerbjerant field.  Thus it is necessary to examine the
relative strengths of the direct and reverberant fields to determine where
microphones may be located.  The mean-square sound pressure due to the direct
field may be expressed as
               'D
                 2 .
                     pc
                        4-irr2
                                 (18)
where the directivity factor Q  is defined as the ratio of (l) the mean-
square sound pressure measured at angle 9 and distance r from an actual
source radiating a power W to (2) the mean-square sound pressure measured at
the same distance from a nondirective (spherical) source radiating the same
total acoustic power W.

     The total mean-square pressure due to "both the direct and the rever-
berant field follows from eqs. (12) and (18):
                               = pc'W
                                       4-rrr2
                                                  2V
                                 (19)
 The difference between  the total  sound pressure level and the reverberant
 field sound pressure  level is
                           10
1 +
                                                  2V
                                       47rr2
                                                                    (20)
 Substituting T = 6.91T and c  = 3^3.U m/s  (air  at  20°  C),
                                   1 + 0.0032
                                                  V
                                 (21)
The  difference, L   - L   , between the total sound level and the reverberant
                  T     R    1/2
field level  is plotted vs r/Q     , the equivalent distance from the acoustic
center of the source, in  Figure 8 with V/[T(.l-a  } ] as a parameter.  It can W
seen that as V/T becomes  large, it is necessary°to be much farther from the
source in order for the direct field contribution to the sound field to
become negligible.  While it is rather obvious that, for a chamber of a given
volume, the  direct field  contribution decreases  as the reverberation time
increases, it is perhaps  less evident that  for a given reverberation time, it
is necessary to be farther  from the source  in a  large chamber than it is in a
small chamber.

-------
      CD
        CK
       Q.
                                                  I	1	1—I   I
Figure 8.   Difference between the total sound level and that due to the
            reverberant field alone,  shown versus the effective distance from

            the source.

-------
     Equation (2l)  and Figure 8 provide information as to the criteria which
a reverberation chamber should meet in order to have a negligible
contribution from the direct field at reasonable distances from the source.
The key points are

     T/V should be as large as possible;  this  is equivalent to the total
     absorption in the room being as  small as  possible;

     highly directive sources  require that measurements  in the directions J
     of maximum noise emission be taken at distances from the source which
     are larger than when Q-l.

     There is still another reason to require  the  sound  absorption in  the
room to be very small.  Returning to eq.  (l6), the term  10  log  (l - ctQ)  is
normally neglected in computing sound power from mean-square  sound pressure
levels in the reverberant field.  As discussed at  the  beginning of this
section, the particular value of a  may depend on the  location  and
directivity of the noise source ana, in general, cannot  be measured  directly
in any simple manner.  Figure 9 shows -10 log (l-ct ) plotted vs a ;  it is
seen to become a significant correction when a  exceeds  a value or  about 0.1-
An approximate value  for a  can be computed from the reverberation  time and
room geometry but  the percentage uncertainty in the value so obtained could
be fairly large.

     The  above discussion  does not address wave effects.  "When consideration
 is also  given to  wave effects, further guidance on room size, shape, and
 absorption can be obtained.  The frequency of a normal  mode of vibration
 (so-called "resonance frequency") in a rectangular room with hard boundaries
 is given by
                    2TT
                                                                     (22)
 where nx, n , and n  are integers and S, ,  I  ,  and i   are,  respectively, the
 length, width, and Height of the room.  It ?an be sSown that  as  f  increases
 the number of normal modes in a frequency band of width Af centered  on f
 approaches the value
AN =
                                      Af  ,                            (23)
 where V is the volume of the room, S is the total surface area of the walls»
 and L is the sum of the lengths of all edges of the room.  For frequency
 analysis in 1/3-octave or 1/1-octave bands, eq. (23) may be written as


                                                                    (24a)

-------
      P  .6  —
     o
     o
     o

      I
                                                               .20
Figure 9.    The effect of neglecting the 10 log (l-a  ) term in eq. (l6)
                                 59

-------
and

                 ._ 8.89V f 3    1.11S
                     3    C      o
                    c3          c*-
(24b)
where f  is the "band center frequency.  For a given room volume,  these
equations predict that a cubical room vill have the lowest modal  density of
any "basically rectilinear room shape.  Figure 10 shows the approximate number
of modes in 1/3-octave frequency "bands, as a function of frequency, for
cubical rooms U, 6, 8 and 10 m on a side.  There would be approximately three
times as many modes in an octave "band having the same center frequency.

     A knowledge of the characteristic frequencies of a reverberation room is
important  in terms of understanding its properties as a measurement tool.  I
excited at a location where there is not a node in the pressure standing wave
pattern, a room will act as a resonator and may respond strongly to impresse
sound energy at frequencies near to the characteristic normal mode
frequencies.  The  extent to which the room responds is dependent upon the
reverberation time.  In electrical circuit theory it  is customary to talk
about the  "Q" of a circuit element and in microwave theory, the "Q" of a
cavity.  In the same sense it is useful to consider the Q of a reverberation
room.   Q is defined as



          Q • -V ' 05 •                                         (25)

  where f  is a natural frequency of the room and T =  6.91t  is the  rever-
  beration time.  The frequency response of the mean-square  sound pressure,
  large Q, is given approximately by

          _               f2/f 4
           p2 (f) « 	°	  .                           (26)
                   (f2/fo2 - 1)2 + i/Q2

 Substituting eq.  (25) into eq. (26),


                                                  f2/f "
  P2 (f) « ——	s-	 = 	Ll!o	(27)
           
-------
           31.5          63           125          250

                    BAND CENTER FREQUENCY, H*
500
Figure 10.  Approximate number of normal modes in a 1/3-octave frequency
          band for cubical rooms of the volume shown.
                                61

-------
100 Hz, there are only three normal modes,  at  frequencies of 95> 100, and 105
Hz, respectively.  It is further assumed that  these modes all have the same
reverberation time (see discussion below).   Figure 11 shows the frequency
response of the room, when all three modes  are of equal "strength", for
reverberation times of 1 and 20 seconds.  It is seen that when T is large the
average sound pressure level in the room varies rapidly with frequency.
Figure 12 illustrates how the "range" of this  variation, defined as shown in
Figure 11, varies with the reverberation time  of the room for different
spacings of the normal mode frequencies.  In Figure 12, it has been assumed
that there are a number of modes of equal "strength" spaced uniformly, at a
separation of 6f = 1, 2, 3, ht or 5 Hz,  within a frequency band centered at
100 Hz.  (Alternatively, the modal spacing  can be thought of as being 1, 2, 3,
h, or 5 percent of any band center frequency.)  Mote that both T and 6f depend
upon the room volume.

     If a noise source were to emit only a  pure tone at some frequency in the
band pass region of the filter, the resultant  mean-square sound pressure in
the room would be dependent upon how close  the driving frequency is to one or
more resonant frequencies.  In order for the room to be relatively insensitive
to such an effect, it would be desirable to have a large number of modes in
the measurement bandwidth, to have those modes as uniformly spaced as
possible, and to have the resonance peaks broad enough to "fill in the gaps"
between adjacent peaks.  The implications of these observations are:

    -the room should be large to increase the  number of modes in a given
     frequency interval,

    -the geometry of the room should be  selected to maximize the number of
     modes and promote uniformity of spacing,

    -the reverberation time should be low enough to broaden the resonance
     peaks by an amount comparable to the modal spacing.


Summarizing, the number of modes is controlled by the  size of the room, while
the modal spacing is controlled by the shape of the room.  If the room is very
hard (i.e., long reverberation time corresponding to low absorption} the
resonance peaks will be sharp — at lower frequencies where the modal density
is low and the modal spacing may not be uniform, the room response, as a
function of frequency, may not be as uniform as desired.  Thus  it is desirable
to add low frequency absorption to enhance  modal overlap.  However, additional
absorption will decrease the spatial volume in which the reverberant sound
field is well above the direct field from the source.  A compromise should be
sought between these two effects.

     Inspection of eq.  (22) shows that a phenomenon, known as degeneracy, in
which the same resonance frequencies occur more than once, will be exhibited
any time the dimensions of the room are in the ratio of  small integers.  Among
                                     62

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               95
                                                         T=20s
      100

FREQUENCY, H*
105
Figure 11.  Frequency response of a reverberation room having equal-strength
           modes at 95,  100, and 105 Hz for reverberation times of 1 and
           20 s, respectively.

-------
                                         i    i—i—rn
                          REVERBERATION TIME.s


Figure 12.   Range of the variation (peak-to-valley in Figure 111 in the fre-
            quency response of a reverberation room for frequencies near^l°°
            as a function of reverberation time for different modal spacing3•

-------
rectangular rooms, a cubical shape exhibits the largest number of degenerate
modes and hence clearly should be avoided.  Current international[10]  and
national[29] standards list the following room proportions as having been
found to give satisfactory mode spacing for rooms of about 200 m  volume (the
"preferred minimum room volume" for measurements down to the 1/3-octave band
centered at 100 Hz):
S. /£
y' x
0.83
0.83
0.79
0.68
0.70
i, /a
Z X
o.ki
0.65
0.63
0.1*2
0.59
     The width of a resonance line shape can be characterized by the width
of the peak (see Figure 13) between the frequencies at which the energy
density is one-half of what it is at the exact resonance frequency.  This
width, given by
                            Af  =  fo/Q
                                        I/TTT = 2.20/T
                      (28)
defines the frequency region in which the mean-square pressure  is within  3  dB
of that at the resonance frequency.  It would seem reasonable to select the
room's reverberation time such that the width of a resonance  line is
significantly greater than the average spacing between normal modes for the
lowest frequency of interest (i.e., modal overlap, M = Af/6f, significantly
greater than unity); thus, from eq. (23)> one would desire
                               T
                                         InrV
                                          3
f2,
                                                                    (29)
where M is the desired amount of modal overlap and only the most  significant
term in eq. (23) has been retained.   With c  = 3^3.      ~
expressed  in cubic meters, this becomes
                                                   m s~   (air  at  20°C) and V
                                                                    (30)

If one selects M = 3, the lowest frequency at  which a  reverberation  room could
be used and still meet the selected criterion  for modal  overlap would be
                                          /m\l/2
                                 f >_ 2100 l±]    .                    (31)

     All of the analyses in this sub-section are rather  approximate.  For more
rigorous treatments of room acoustics,  see[30-36].

-------
   UJ


   LU
   UJ
   cr

   CO
   co
   UJ
   en
   CL

   Q

   3
   o
   CO
Af =
1°.
 Q
           TTT
                           FREQUENCY-
Figure 13.   Drawing illustrating the spacing,  5f, "between normal modes,  the

            width, Af, of a normal mode,  and the relationships among Af»

            f /Q, T, and T.
                                   66

-------
      As discussed earlier,  it is  desirable  to make the reverberation time as
 large as possible so that the uncertainty due to inadequate knowledge of a  is
 acceptable and,  over most of the  room volume, the contribution from the direct
 field is negligible compared to the  reverberant field.  At lower frequencies,
 these desiderata are in conflict  with the just-discussed criterion calling for
 a reverberation  time small  enough to spread the resonance peaks in the room
 response.   For any given room it  is  desirable to analyze all of these factors
 and select an adequate  compromise for the situation at hand.

      The current American standard[29] requires that the room volume be "at
 least 180  m  and preferably 200 m for measurements including the 125 Hz
 octave band,  and 70 m  for  measurements covering the 250 Hz and higher octave
 bands, but excluding the 125 Hz band."  It  further states that

      "the  floor  of the  test room  shall be reflective with an absorption
      coefficient below  0.06.  Apart  from the floor, none of the surface should
      have  absorptive properties significantly deviating from those of the
      other surfaces.  For each one-third octave band within the frequency
      range of interest  the  mean value of the absorption coefficient of each
      wall  and of the ceiling should  thus be within 0.5 and 1.5 times the mean
      value of the absorption coefficient of all walls and ceiling."

 The following guidelines  are  given with regard to the absorption of the room:

      "The  sound  absorption  coefficients of the surfaces of the reverberant
      room  must be small enough to insure an adequate reverberant field.   The
      coefficient must be  large enough to minimize the effect of source
      position on the sound  power produced by the source (refer to the
      qualification procedure  of Section ll).  The average sound absorption
      coefficient  of  all surfaces of the reverberation room should not exceed
      0.06  over the frequency  range of interest,  except that additional
      absorption below a frequency given by

                                     - _ 2000

                                        V1/3
      is usually desirable in order to increase the bandwidth of the resonance
      curves of the normal modes of the room.  The highest value of the average
      sound absorption coefficient, at any frequency,  should not exceed O.l6."

The international standard[lO] includes very similar  requirements.

     Both  the American and international standards[10,  11,  29]  include quite
detailed room  qualification procedures — separately  for  the measurement  of
broad band sound and for the measurement of  discrete  frequency  components.
These procedures involve not only  the reverberation chamber but source loca-
tions, microphone locations, diffusing elements,  and,  in  effect,  the  entire
measurement procedure.  Anyone planning to conduct reverberation  room
measurements should study these standards carefully.
                                      67

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     In the present section, the relations  among room absorption,  source
location, and pover output have not been discussed.   These will be covered i*1
Section 15-3.


                                  d.   In Situ

     It is not possible even to attempt to  cover all of the  different types
of test environments that might be encountered in  carrying out In  situ tests.
In general, measurements should "be made to  determine the extent to which  the
test environment approaches an anechoic, semi-anechoic or reverberant
environment.  The types of measurements which should be made should be fairly
obvious from the preceding discussions.

     Whenever the sound source can be removed from the test  environment,  the
environmental influence should be checked by placing a reference  sound source
at selected points which define the boundaries where the actual source will
be and then measuring the sound pressure at various distances from each
reference  source location.  Procedures for  correcting sound power
measurements for the influence of the test  environment are discussed in
Section 16.2.

                       12.3.  Criteria for Background  Noise

     In  some locations, particularly for in  situ measurements, it may not be
possible to maintain background noise sufficiently below the noise emitted
from the source for the background noise to be neglected.  In that case,  the
measured values at each microphone location may be adjusted using the
corrections  given  in Table  3.

     These corrections are  predicated upon the background noise not being
coherent with the  noise emitted from the source.  As an example of a case
where  this might not be true,  the noise from a ventilating fan which emits
discrete frequency components  could have a definite phase relation to the
noise  from the  test  source  when both are connected to  the 60 Hz line power.
Then the above  corrections  for background noise would  be inappropriate.

      In  some circumstances, it may be  difficult to separate the noise of a
particular piece of  equipment  from the noise of its  supporting equipment.
 For example, in measuring the  noise of a pneumatic tool, care has to be taken
 to ensure that  the noise  from  the air  compressor  is  not  influencing  the
 results.  Background noise measurements made with the tool  inactive  and the
 compressor operating might not be appropriate since  the  noise from the
 compressor may increase when it is called  upon to supply air  for  the tool.

      Another problem area is time-varying  background noise.   Consider an
 outdoor test site fairly near a highway.  Background noise  measurements have
 little meaning unless one can be confident that the average background noise
 was the same during the time interval when the noise emitted  from the source
 was measured.
                                     68

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Table 3  Corrections for Background Sound Pressure  Levels
Difference (in decibels)
between sound pressure
level measured with sound
source operating and
background sound pressure
level alone
6
1
8
9
10
11
12
13
1U
15
Correction (in decibels)
to be subtracted from sound
pressure level measured with.
sound source operating to
obtain sound pressure level
due to sound source alone
1.3
1.0
0.8
0.6
O.U
0.3
0.3
0.2
0.2
0.1
                            69

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               12.4.  Criteria for Temperature, Barometric Pressure, Humidity, and Wind


                               a.   Temperature

     A measurement standard should include restrictions  on the  allowable
temperature range over which measurements may "be conducted and, if practical*
provide corrections for the effects of temperature.   Temperature can  affect
the measurement results in the following -ways:

   - the performance of the test source may "be  a function of temperature with
     the result that the noise emitted varies with temperature  even though
     the operating load appears to "be constant;

   - the properties of the air surrounding the  test source may  vary suf-
     ficiently with temperature to affect the sound pressure at the
     measurement locations;

   - temperature gradients or inhomogeneities in the atmosphere cause
     refraction or scattering of the sound;

   - the accuracy of the measuring instrumentation may be affected by
     temperature.

     The acoustic impedance of air is affected by both temperature and by
barometric pressure and will be discussed in the section on barometric
pressure.  Absorption of sound by the air is influenced by temperature,
barometric pressure, and humidity; it will be discussed in the section on
humidity.

     In making measurements outdoors over a reflecting plane, errors can
occur  due to refraction of sound arising from the variation of the speed of
sound  due to a steep temperature gradient above the reflecting plane.  Such^
an effect would be expected to be particularly serious for sources which emit
pure tones and to be worse at higher frequencies where the wave length of "the .
sound  is much shorter than the height of the source and/or the measuring
microphone above the reflecting plane.  To a certain extent this could be
compensated for  by multiple microphone  locations or by traversing the
microphone over  an appropriate path  (see Sec. 15.2).

     It  is difficult to generalize on the effects of temperature on measuring
instrumentation.  The American  standard for  sound level meters[37] includes
the following  statement:
      "•7
       7.1 Temperature.   The  temperature range over which the sensitivity of
      the sound level meter varies  less than  0.5  decibel at any frequency
      shall be stated by the  manufacturer.  If this range does not  include the
      extremes of -10° to 50° C,  the manufacturer shall supply temperature
      correction values over  that range.  If  provision for internal
                                     70

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      calibration is made in the sound level meter,  the manufacturer  shall
      state the effect, if any, of temperature upon  the calibration system,
      and thence upon the self-calibrated sound level meter  over the
      temperature range of -10° to 50° C.  The manufacturer  shall  state the
      temperature limits beyond which permanent damage to  the  sound level
      meter may occur,"

      If it is intended to make measurements over  a  broad  temperature range,
 the instrumentation system should be calibrated over that range — care
 should be taken that the calibration procedure itself does  not have
 unaccounted-for temperature effects.

                            b.   Barometric  Pressure

      In Section 12.2, it was indicated (see eq. (12))  that  in a reverberation
 chamber, the mean-square sound pressure is proportional to  pc W.  A similar
 analysis of free-field radiation would show that  the mean-square sound
 pressure is proportional to pcW.   Thus the computation of sound power
 requires inclusion of a term of the  form 10 log (pc  )  for reverberation room
 sound power level* and a term  of the form  10 log  (pc)  for free field sound
 power level.   These terms do not  correct the data to correspond to standard
 conditions  of temperature and  barometric pressure, but are  simply part of the
 procedure to calculate sound power level from  sound pressure level data (or
 vice  versa).

      The effect  of a variation in temperature  and pressure on reverberation
 room  measurements  is more readily seen by rewriting eq. (15) as
          - 10 log
                        2V
                               - 10 log
                                          400
                                         - 10 log
(32)
thus if the calculation were made using a standard value, p c  ,  the
                                                           o o
                                              2     2
correction term to be subtracted is 10 log (pc /PQC  )•
     For free field measurements over an imaginary sphere at radius  r  from a
point source of power W, the mean-square sound pressure is
           2   pcW
             -
                                                                   (33)
from which the equation for power  level  is  seen to be
                                   p c              PC
Lp + 10 log[47rr*] - 10 log
                                         - 10 log
                                                        •]
                                                        J
                                                                   (34)
*If reverberation room calculations are made using total room absorption, A,
rather than reverberation time, T,  to account for  the power loss at the
boundaries and in the air, the term T/V is  replaced by cAA, the c cancels
one of the c's in pc  and the correction term becomes 10 log    (pc) — the
same as for free-field radiation.
                                                           10


-------
     The  dependence of 10 log (pc/p CQ) on temperature and barometric
 pressure  is  shown in Figure lU.  The curve corresponding to 0°C also
 represents the  dependence of 10 log (pc /p c  ) on pressure since pc  is
 independent  of  temperature.  These dependencies stem from the following
 equations, "based on the ideal gas law:
where p c  is the value of the acoustic resistance at barometric pressure BQ
and absolute temperature T , and

                                                                             A
     As stated previously, the above discussion only concerns the influence °
temperature and barometric pressure on the calculation of sound power level
from the appropriate sound pressure level.  It does not correct the results o*
a calculation to correspond to the noise emission of a source under some
standard conditions other than those which existed at the time of measurement.
Temperature and barometric pressure directly influence both the radiated soun
power  and the sound pressure at a particular location, but in a manner that i
different for different types of sources.  Sources with very high internal
acoustic impedance (constant velocity sources) will be affected differently
from sources having very low internal impedance (constant near-field
pressure).* In addition, sources having different directionality
characteristics are affected differently by temperature and barometric
pressure.  Expressions for monopole, dipole, and quadrupole point sources,
radiating into a  free field  (air) have been derived from equations in Morse
and Ingard[32, pp 306-318] and are  listed in Table U for sound sources having
either constant velocity or  constant near-field pressure.  It can be seen tha
the dependence on temperature and the dependence on barometric pressure can "be
 quite  different  for  different types of sources.  Thus  corrections to standard
 conditions  cannot be made reliably  without some knowledge of the
 characteristics  of the  noise source.

      A related phenomenon that also can  affect the accuracy of acoustical
 measurements is  the dependence of  sound  pressure level produced by piston-
 phones, and other types of microphone  calibrators, on  barometric pressure.
 *See Section 15.1 for discussion of particle velocity,  volume velocity,
 near field, and far field.
                                     72

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                   20
              I      I
      m
      o
      3.
      CD
      3
                          PRESSURE, in. Hg
              25
30
        PRESSURE, mm Hg
500      600       700
                                                 800
              0.6     0.7     0.8    0.9      J.O
                           PRESSURE,  otm
Figure lU.  Pressure dependence of the acoustic resistance of air,
                               73

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Table h.  Dependence of far-field sound pressure and radiated sound power on barometric pressure
          and temperature  for various types of sound sources.  The numbers in parentheses  repre-
          sent the rates of change for the source in air at T^O mm Hg (1.013 x 10  Pa)  and 20°C
          (293.15  K).
Type of Source

Monopole

Dipole

Quadrupole

Constant Volume Velocity
mean- square pressure
ftfftf
(.011 dB/mm Hg)
(-.030 dB/°C)
W'ftf
(.011 dB/mm Hg)
(-.OUU dB/°C)
/B \2/T \~h
W (To)
(.011 dB/mm Hg)
(-.059 dB/°C)
sound power
B /T\-3/2
Bc IV
(.006 dB/mm Hg)
(-.022 dB/°C)
B /T \~5/2
B ( T 1
o\ o/
(.006 dB/mm Hg)
(-.037 dB/°C)
B /T \~T/2
B(T)
°\ °/
(.006 dB/mm Hg)
(-.052 dB/°C)
Constant Near-Field Pressure
mean-square pressure
1
(0 dB/mm Hg)
(0 dB/°C)
(iT
(0 dB/mm Hg)
(-.015 aB/°C)
/T\-2
VToJ
(0 dB/mm Hg)
(-.030 dB/°C)
sound power
/if/Tf2
(BOJ (TO;
(-.006 dB/mm Hg)
(.007 dB/°C)
ftTftT
(-.006 dB/mm Hg)
(-.007 dB/°C)
(I)" (if"
(-.006 dB/mm Hg)
(-.022 dB/°C)

-------
                                c.  Humidity

     The two major effects of humidity on noise measurements  are  (l) the
effect on absorption on sound "by the air and (2) effects  on measurement
systems.

     Sound energy is attenuated "by molecular absorption,  "by viscosity, and "by
heat conduction.  For a plane wave, the mean-square sound pressure will
attenuate with distance as


               p2(x) = p2(0)exp(-mx),                                (37)

        p
where  p  (0)  is  the  mean-square pressure  at x =  0.  Converting to sound
pressure level,


                   L = L(0) - MX ,                                  (38)
where M =  I*.3lv3m  is the attenuation in decibels/meter.  The attenuation coef-
ficient varies in a complicated manner with temperature, humidity, and baro-
metric  pressure.  It is larger at high frequencies and, at normal
temperatures, peaks at rather low relative humidities.  Representative curves
are given  in Figure 15.  For additional information see[38, 39] and the
references therein.

     The effect of air absorption is quite important, especially at higher
frequencies, in reverberation room measurements since, with hard walls, the
reverberation time is severely limited by absorption of sound by the air.
This requires that care be taken to measure reverberation times -under the
same atmospheric  conditions as when steady-state sound energy density meas-
urements are made.  Current national[29J and international]10] standards
require that the  temperature t (°C) and the relative humidity rh (percent) be
controlled such that the product rh(t+5) does not differ by more than +. 10
percent from the value of this product which prevailed during the
measurements of the reverberation time (for the direct method) or reference
sound source (for the comparison method).

     Even when carefully controlled, high air absorption at high frequencies,
coupled with the  fact that sound sources tend to be more directive in their
radiation pattern at high frequencies, can make it difficult to achieve a
diffuse reverberant field that is sufficiently larger than the direct field
from the source.

     A major effect of high humidity on acoustical measurement systems is
condensation of moisture in microphones, resulting, in the case of condenser
microphones, in electrical leakage.   Many condenser microphones are heated to
avoid this problem.   High humidity can also lead to electrical leakage in
                                    75

-------
             m
             •o

             CO
             CO
             o
             a.
             oc
             o
             o
             a:
             UJ
             x
             a.
             CO
             o
                                10%

                              RELATIVE
                              HUMIDITY
                            0        10       20

                              TEMPERATURE, °C
                                           10%

                                           RELATIVE
                                           HUMIDITY
                             0        10       20

                              TEMPERATURE, «C



Figure 15-   Atmospheric absorption loss in air  as a function of temperature

                        hUmidities of 10 and TO percent at frequencies of

-------
 cables, connectors, or instruments.

                                   d.  Wind

      A serious effect of wind on outdoor measurements  is the  extraneous noise
 generated by the wind blowing across the microphones.   In general, a wind
 screen should always be used and a measurement standard should set limits,
 analogous to those for background noise, on the allowable wind noise[35l»

      Wind can also influence the propagation of noise  from the source.  A
 shadow zone, into which no direct sound can penetrate, may be encountered
 upwind from a source because the typical positive wind gradient (i.e., wind
 speed increasing with height above the ground)  bends the sound rays
 upward[33,35].  If measurements must be made a  considerable distance from the
 source, tighter limits (than for close-in measurements) should be placed on
 allowable wind speeds.

                  12.5.   Criteria  for Size of the  Test Equipment

      A given test  facility should be sufficiently larger than the equipment
 being tested to enable measurements to be made outside of the near field  of
 the noise source.  The International Organization for Standardization draft
 on laboratory measurements in anechoic and hemi-anechoic  chambers[lU]
 recommends that the volume of the source be less than 0.5 percent of  the
 volume of the test room (e.g., aim  source may be tested  in a 200 m
 chamber).  For large equipment, such a restriction would be too severe for
 practicality.  However, the measurement standard should adequately address
 this point.

                        12.6.  Criteria for Reflecting Surfaces

     A  discussion was given in Section 12.2, in conjunction with the material
on measurements in  a semi-anechoic space, of the importance  of the reflecting
plane having a very low sound absorption.  This can be particularly difficult
in outdoor measurements on large, or mobile, sources where it  may  be
difficult to find large paved areas with sufficiently low sound absorption.
In general, measurements over grass or soil are not recommended — the
surface is neither  hard enough to approximate a perfect reflector  nor  soft
enough to approximate a perfect absorber.

     Even when the  source of the noise is very close to the  ground, so  that
there are essentially no reflections, difficulties  may arise.  A sound  wave
traveling parallel to an absorptive surface can lose energy  into that  surface
if the "sound rays" pass close, in terms of wavelength,  to the  surface.

     In addition to criteria for the  reflecting plane,  measurement standards
should include restrictions on the presence of nearby objects which could
reflect sound energy in such a way as to influence the  test results.
                                    77

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             13.   Instrumentation for  Noise Measurements

  • The measurement standard should require that  each instrument meet
    specified requirements of existing national or international standards.
    For instruments for which standards  do not exist or where  eosisting
    standards are not sufficient,  the measurement standard should include
    specific criteria for evaluating  the performance of such devices* e'3"
    for sources which produce transient  signals the standard might  include
    allowable tolerances for system response to one or  more well-defined
    transient events.

  • The measurement standard should clearly state the  allowable tolerances
    for frequency response, environmental effects* harmonic distortion,  e^
    which the instruments are required to meet.   These specifications s
    be applied not only to specific components of the  system but to the
    overall system as well.

  • The measurement standard should require overall system calibration at
    stipulated intervals.  The fact that each component of the system
    satisfactory does not ensure  that the system performance will be
    acceptable.

  • The measurement standard should require that  the overall system
    measurement  error not be degraded below that  allowed for direct
    measurementsj regardless of the instrumentation configuration.

                            13.1.   General Requirements

     Instrumentation for noise measurements consists, generally, of the
components shown in Figure 16.  The sound pressure is converted into an
electrical signal by a microphone. This signal is amplified and passed
through a filter which weights the various frequency components of  the
The filtered a-c signal  is then detected (usually converted to  a d-c value
equivalent to the root-mean-square value of the a-c signal) and averaged °ve
an appropriate time interval.  This detected signal is  then displayed via   d
read-out device.   The signal may be recorded on a magnetic tape recorder
brought back to the laboratory for analysis.   If  this is  necessary, the
recording and playback operation  should  not degrade the overall measurement
error below that allowed for direct measurements.
MICRO-
PHONE


AMPLI-
FIER


FILTER


DETECTOR


READ-OUT
Figure l6.  Schematic representation of instrumentation for sound level
            measurements.
                                     78

-------
      In acoustical measurements where a frequency analysis  is required, it
 has been traditional to use a bank of band pass filters, and switch through
 them sequentially to obtain sound pressure levels in each frequency band.
 More recently, real-time analyzers have become  available which have parallel
 filters, with detection and read-out for each frequency band.  The output of
 these can be read visually or they can be interfaced to a computer.
 Alternatively, the instantaneous voltage from the microphone can be passed
 through an analog-to-digital converter which  is interfaced to a computer.
 Digital data are taken at a rate at least twice the  highest frequency of
 interest.   Filtering and detection are done digitally within the computer.

      Any  of  these techniques is acceptable if  done properly.  In the dis-
 cussion below it will generally be assumed that the various elements in Figure
 16 are analog devices which can be treated separately.  However, the
 measurement  standard should apply to the overall measurement process and not
 assume any particular configuration of components.

                            13.2.  Microphone and  Cable

      There are a number of different types of microphones  in use.  For
 acoustical measurements, condenser, electret, and piezoelectric  microphones
 are most common although dynamic microphones  are still used occasionally.

      The important features of microphones are  frequency response, sensitiv-
 ity, and freedom from adverse environmental effects.  The American
 standard[29] for reverberation room determinations of sound power requires
 that:

      "The microphone shall have a flat frequency response for randomly
      incident sound over the frequency range  of interest.  The microphone
      shall meet the requirements of ANSI SI.12-196?.  The microphone and its
      associated cable shall be chosen so that their  sensitivity does not
      change by more than 0.5 dB in the temperature range encountered in the
      measurement.   If a  moving microphone is  used, care shall be exercised to
      avoid introducing acoustical  or  electrical noise (e.g., from gears,
      flexing cables,  or  sliding contacts)  that  could interfere with the
     measurements."
An American standardise] describes types of laboratory microphones that are
suitable for calibration by an absolute method such as the reciprocity
technique described in the American standard for the calibration of
microphones[kl].

                13.3,   Frequency  Response  of  the Instrumentation System

     The American[37l and international[U2,U3] standards for sound level
meters prescribe tolerances on frequency response, omni-directional response,
and the effects of environmental conditions.

     The American standard states that:


                                   79.

-------
     "the frequency  response  of the  instrumentation calibrated for randomly
     incident  sound  shall "be  determined according to the procedures of ANSI
     Sl.10-1966 and  the  random incidence response shall be uniform within the
     tolerances given "below:

          Frequency                           Tolerance Limits
          	Ha                           	<3JB	

            50 to 80                             +1.5
           100 to iiOOO                            + i"
          5000 to 8000                            +1.5
             10000                               72*              "

                 13.4.  Weighting  Network and/or Frequency  Analyzer

     If direct measurements are  to be made of the A-, B-»  or  C-weighted  sound
level, the measurement  standard  should clearly reference  the  allowable
tolerances on the frequency weighting. The international standard  for
precision sound level meters[^3] gives tolerances  for all three  weighting
networks.  The American standard[3T] defines three  types,  or  classes, of sound
level meter with different tolerances. The American Type 1 tolerances 1371  are
essentially identical to the international tolerances[U3]  except below 10°  Kz
where the American tolerances are tighter.

     It is anticipated that frequency analyses required  for regulatory actions
will not require measurements in frequency bands narrower than 1/1- or
1/3-octaves.  The international  standard  for band-pass  filters[WO  defines  the
center frequencies and sets limits on terminating impedances, effective
bandwidth, attenuation in the pass-band,  attenuation outside  the pass-band,
overall tolerances, harmonic distortion,  and the effects due  to  environmental
conditions.  The American standard[^5] is a rather more detailed document
which establishes three classes of band filters, Classes I and II for octave
band filters and Classes II and III for half-octave and third-octave band
filters.

     The  choice of a filter for a given measurement is based upon the accuracy
required.  The bandwidth error of a filter depends upon its transmission l°sS
at the band edges, the slope of the transmission loss  characteristic outside
the band, and the input noise spectrum slope.  Appendix B of [U5l discusses
the subject and gives data and references allowing selection of filter
characteristics which will yield measurements falling within specified error
limits  at various noise spectrum slopes.

      The international tolerances[UU] are less restrictive than the American
Class III but  somewhat more restrictive than Class II.  The American standard
for  determination of sound power in reverberation rooms[29] requires that  an
octave  band or one-third octave band  filter  set meeting at least the
requirements  for  Class  II filters of AUSI SI.11-1966, or latest revision,
                                     80

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 shall be used."  International standards[10,11]  and draft standards[l2-lH] for
 sound pover determination specify a band filter  set meeting the  requirements
 of [U].

                           13.5 Signal Detection and Averaging

      The electric signal from a microphone is  typically  comprised of the sum
 of components at many frequencies.   The measuring  instrumentation should
 "detect" the root-mean-square value of this  signal,  defined as

                                            1/2
                           Pi   fL.  .  . ,r>  .  I
                   E
                    rms
i  /[eft)]2 dtl                         (39)
 where e(t)  is the time varying voltage  and, T, the integration time, should be
 long enough to provide adequate averaging.

      Many voltmeters measure  the average absolute value of the signal, defined
 as
                               m
                                                                    (*0)
The value of E     is uniquely related to E    for a sinusoidal signal so that
              avg                         -"^
rectified average  detectors are quite satisfactory for that purpose.  However,
they can result in very large errors for more complex signals.  Table 5
indicates the error of a rectified average meter for several types of signals.
Since typical noise signals differ considerably from pure sine waves, it is
important to specify a true rms detector.  The International standard on
precision sound level meters [43] requires that instrumentation complying with
that standard be able to measure the combination of signals of two
non-harmonic frequencies 'to within ±0.1 dB of the true rms value.

     After the signal is "detected", it is necessary to carry out the
integration indicated in eq. 39-  Preferably, this should be done using a
"true integrator", either analog or digital.  Many acoustical instruments
utilize RC-averaging in which the squared signal is the input to a low-pass
RC-filter .  If the rms value of the input voltage to an RC-integrator is
changed from one value to another (e.g., the system is switched to a different
microphone or filter), the output of the integrator will vary with time as
the initial value E  decays with a time constant RG and the new value ^ is
approached asymptotically with the same time constant.   In terms of the
voltage change,
                      "                                            (42)
                   E2-E1
                                    81

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                          Table  5
Wave Form
Sine Wave

Sine Wave Plus 100$
  Third Harmonic in Phase

Sine Wave Plus 100$
  Third Harmonic out of Phase

Square Wave

Gaussian Noise

Pulse Train:  10$
  on and 90$ off

Pulse Train:  1$
  on and 99$ off
Error in reading of rectified
average meter
              dB

               0


              -0.50


              -6.52

              +0.91

              -l.OU
             -19.17
                       Table 6
t/RC
1
2
3
*
5
6
7
i-.-*/*
0.632
0.865
0.950
0.982
0.993
0.998
0.999
20 log10(l-e"t/RC)
-3.98 dB
-1.26
-0.1*1*
-0.16
-0.06
-0.02
-0.01
                            82

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  Table  6  shows  this  function for different times after the integrator input is
  switched from  E  to E  .

  Thus if  there  originally was no input to the integrator, one should wait 5
  time constants for  the output of the integrator to be within less than 0.1 dB
  of its final value.*  Similarly, if one wishes to take successive independent
  readings  of the same signal, an interval of several time constants should be
  allowed.

      For nondeterministic, or random, signals (see Section ll)  the averaging
  time must be sufficiently long for the statistical error to become small
  enough to be acceptable.  For bandwidth limited Gaussian white  noise,  the
  standard error (normalized) in the root-mean-square pressure (or  voltage)  is
  given approximately by
 where T is the averaging time and B  is the effective bandwidth of the filter.
 The 90, 95, and 99 percent confidence limits for bands of random noise are
 shown in Figure 17 as functions of bandwidth and averaging time.  For
 additional details see
      In the case of a deterministic  process, the averaging time depends only
 on the response of the filter and detector.  That is, one must wait long
 enough for the filter to respond to  the signal and for the detector to respond
 to the signal.  If one defines the rise time of a filter as the time it takes
 for response to rise from 10$ to 90$ of its final signal, then the rise time,
 T   is T  = 0.88/B  where B  is the effective bandwidth of the filter.  If an
 RC-integrator is used in tie detector and a 0.1 dB error is accepted, compared
 to the response to a unit step change in voltage of a true integrator, one
      wait 5 RC time constants .   The  total observation time should be
                               -^+ 5RC
                               Be
                                *•»
In most cases of concern, the rise time will be much less than 5 RC time
constants.

                              13.6. Read-Out Device

     If the averaging has been accomplished by a true or RC integrator,  the
readout can be in analog form via a meter or a strip chart recorder,  or
digitally through a digital voltmeter or a computer.  If the averaging was
done digitally, the read-out would usually be via a computer.

*The squared voltage from the detector will contain a-c  components
superimposed on the mean-square value.  Each frequency component  will be
attenuated in squared-voltage amplitude by (l/uRC)  .  For small values of RC,
this can result in noticeable "ripple voltage" passing through the  integrator
if there is considerable low frequency voltage present.

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                EQUIVALENT DEGREES OF FREEDOM

            5     10   20     50    100  200    500  1000  2000
             90%  95%  99%
                                   —i—'I'M	1	1—•—•———,f^f\r\
            2      5    10   20    50    100  200   500  l°°u

           (EFFECTIVE BAND WI DTH)x( AVER AGING TIME)
Figure 17.  Confidence intervals as functions- of BT for measurements on ra-n
          noise.

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      Graphic level recorders are frequently used to provide a time history of
 sound level.  When used for such purposes, the paper speed and, especially,
 the writing speed should be selected carefully and should be reported with the
 results of the measurement .  When graphic level recorders are used in
 conjunction with & filter to provide read-out  of frequency analyses, the
 "writing speed should be carefully selected with regard to the frequency sweep
 speed [Ii8, 1
      It is quite common to use a slow writing speed on a graphic level
 recorder in an attempt to obtain a long averaging time such as might be
 indicated in reverberation room measurements.  Typically, there is an RC
 integrator, following the square-law detector^ which has a low effective
 averaging time T ,   The writing speed of the recorder in effect acts as
 another integrator with an averaging time Tg.  Thus the recorded level is
A =                   [e^J2 dt      dt •         (43)
                                                  1  1/2
                                                       dt
                                                  J
 *f T  >  T ,  the system is unstable.   However,  if T^  is  chosen to be much
 greater  than T  and the frequencies  of the fluctuations in the  detector input
 level  are of tie order of 1/T ,  the  recorded signal  level will  be the  "mean
 detected value" (i.e., "mean rms").   This  quantity is of dubious physical
 meaning  and  from a theoretical point of view it  would be better to increase
     eliminate the second integration!1^].
                    13.7. Transient Response of Instrumentation System

     Although noise measurement  instrumentation with different principles of
operation may be  calibrated  to yield the  same results  on steady-state signals ,
such may not be the case for transient effects such as motor vehicle pass-bys.
For one example of the  differences among various measurements of time-varying
&oises see  [50].  It is recommended that measurement standards for sources
which produce transient sounds include specific criteria for system response
to one or more well-defined  transient events (e.g., a pure tone that is
amplitude-modulated in  a specified manner).

                 13.8.  Calibration and Maintenance of Instrumentation System

     An acoustical instrumentation system can be quite complex.  Accordingly,
it ig necessary to calibrate the overall system frequently and not to rely on
the system performance being acceptable simply because each component of the
system appears satisfactory.

     The American standard for the measurement of sound pressure levels [8]
includes the following  statement with regard to calibration and maintenance of
instrumentation :

     "The instruments used for the acoustical measurements shall be serviced
     at least once every twelve months in accordance with the manufacturer's

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     instructions.  This shall include checking the performance of all
     mechanical  components and electrical circuits and replacing substandard
     items.   The date of most recent servicing shall "be written on tags
     attached to the instruments.  To ensure that the calibration of the
     equipment has  not  changed during a series of measurements, the
     instrumentation system  shall "be calibrated acoustically according to the
     manufacturer's instructions.  A comparative calibration provided "by a
     sound-level calibrator  or pistonphone of known sound pressure level is
     usually satisfactory for this purpose.  The frequency response of the
     complete instrumentation system shall be checked periodically to insure
     that the requirements of 5.^-2 are satisfied.  For the laboratory method,
     microphones shall  be calibrated by comparison with reference standard
     microphones which  are calibrated according to American National Standard
     Method for  the Calibration  of Microphones, SI.10-1966 (see Section 12).

                  13.9.  Precautions to be Taken When Selecting Instrumentation

     The following is also taken from the American standard for measurement of
sound pressure levels[8]:

     "5.T.1  Precautions  (Field  and  Laboratory Methods)

          5.7.1.1  Wind (Field Method Only).  To perform  sound pressure level
     measurements in a  moving air stream,  a  suitably  designed  windscreen  or
     nose cone shall be utilized to  minimize the influence of  the  air  stream
     on the output of the microphone.   No  such  precaution is necessary if the
     wind noise is 10 or more decibels  below the signal being  measured in. each
     frequency band of interest.  Corrections for  changes in microphone
     sensitivity for the windscreen or  nose  cone used during the measurements
     shall be applied to the observed sound pressure  levels.

          5.7.1.2  Humidity and Temperature. High humidity or temperature
     will change the sensitivity or damage many types of  microphones.  The
     microphone manufacturer's  instructions  shall  be  carefully followed to
     avoid  such effects.

          5.7.1.3  High Sound Pressure Levels.   Many piezoelectric,
     moving-coil,  and  capacitor microphones may be used for  the measurement of
     sound  pressure levels up to approximately lUO dB re 20  uN/m .  At higher
     levels,  specially designed microphones with stiff diaphragms  shall be
     used:   these  shall be calibrated at the levels to be measured and,  if
     possible,  over the entire frequency range of interest.   At high sound  ^
     levels,  special precautions shall be taken to ensure that "microphonics
     are not  generated by the transmission of mechanical vibration to the
     microphone or instrumentation.  These include:

           (l)   Installing the microphone and instrumentation on a soft
     mounting.

           (2)   Removing the instrumentation from the high sound levels and
     utilizing  long cables:  precautions are necessary to minimize cable


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 noise, that is, the noise produced when the cable itself is subject to
 vibration or flexing.

      (3)  Installing the instrumentation behind suitable barriers or
 enclosures:  a mechanically soft mounting shall be used for the
 lov-sensitivity microphones that are utilized for the measurements of
 high sound levels.
           Determining electrical noise and possible "microphonics"
 problems by replacing the microphone with a highly insensitive  (dummy)
 microphone .

      5.7.1.1^  Lov Sound Pressure Levels.   A microphone used to measure
 low sound pressure levels must have high  sensitivity and low internal
 noise.  When connected to suitable low-noise amplifiers, many
 piezoelectric, moving-coil, and capacitor microphones are  suitable for
 measurements of sound pressure levels below 20 dB re 20 yN/m .

      5.7.1.5  Low-Frequency Noise.   Piezoelectric and some capacitor
 microphones  are suitable for measuring sound pressures  at  frequencies
 down to fractions  of a hertz.   Special amplifiers are required for
 measurements of low- frequency noise.   The low frequency sensitivity of
 a microphone may vary considerably from the mid-frequency  sensitivity
 due to the presence  of a pressure-equalizing leak.   Calibration shall
 be performed over  the frequency range of  interest.

      5.7.1.6  High-Frequency Noise.   For  measurements above 20000 Hz.
 miniature capacitor  or piezoelectric  microphones  usually give the most
 satisfactory results.

      5.7.1.7  Hum  Pickup.  When sound pressure levels are to be measured
 near electrical equipment, a moving-coil microphone  shall not be used.
 The instrumentation  shall be checked  to make  certain there is no hum
 pickup in the instruments themselves.  Hum can be reduced by moving the
 instruments  away from the source of the magnetic field or by selecting  a
 proper orientation of the instruments with respect to the magnetic field.

      5.7.1.8   Cables.  When  a cable is used between the microphone and
 the  acoustical  instrumentation, the system shall be calibrated  according
 to the  manufacturer's  instructions with the cable in use.

 5.7.2   Precautions (Survey Method).  Sound-level meters with integral
microphones are generally not suitable for a measurement program that
requires the observance of the special precautions' of 5-7.1.

 5-7.3  Additional Effects on Measured Data

     5.7.3.1  Effect of Observer and Meter Case on Measured Data

     5.7.3.1.1  Survey Method.  The sound-level meter shall be held in
front of'the'observer.  The observer shall be oriented with' respect to


                               87

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the principal sound source so that the sound energy arrives at the
microphone from the side unless some other orientation is specified by
the instrument manufacturer.

     5.7.3.2  Field and Laboratory Methods.  In order to minimize the
obstacle effect caused by the insertion into the sound field of the
sound-level meter and the experimenter holding it,  the microphone shall
be connected to the sound analysis equipment by means of an appropriate
cable or extension connector and mounted on a tripod or other suspension
system.  The observer and all acoustical instrumentation except
microphone(s), associated preamplifiers and cables  should be located
outside the test area.

     5.T.3.2  Microphone Response and Orientation

     5.7.3.2.1  General.  The microphone calibration applied to compute
sound pressure level shall conform to the way the microphone is used in
the measurement; for example, free-field calibration at the appropriate
angle of incidence.  It should be recognized that microphone calibrations
are often furnished in terms of the pressure response, vhich may differ
from the free-field response at high frequencies by as much as 9.5 dB for
one-inch diameter microphones.

     5-7.3.2.2  Survey Method.  See 5.7.3.2.1

     5.7.3.2.3  Field and Laboratory Methods.  The  microphone shall be
oriented with respect to the source so that sound strikes the diaphragm
at the angle for which the microphone was calibrated to have the flattest
frequency response characteristic.  The variation of the response with
frequency shall be taken into account in each frequency band for maximum
accuracy.  It should be noted that microphones are  usually most sensitive.
for sound propagating perpendicular to the microphone diaphragm.
However, the angle required to obtain the flattest  response vs frequency
will be a function of the microphone design.  It is imperative that
reliable calibration data be used to determine the  angle of operation for
the flattest response.  It should be noted that a microphone may be
extremely sensitive at -high frequencies to small changes in orientation
for sound waves arriving parallel to the diaphragm.  Therefore, during a
measurement of sound which contains significant high-frequency
components, it is advisable to maintain the microphone orientation to
within +_ 5 degrees for the survey and field methods and to within ± 2
degrees for the laboratory method."
                                88

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                    14.  Installation and Operation of Source

    • The measurement standard should specify that the device under test be
      located in its use configuration or alternatively the location should be
      governed by the test environment and the quantity to be measured3 e.g.,
      source located near the center of the room for anechoia measurements of
      sound power.

    • The measurement standard should specify that the device under test be
      mounted under conditions similar to those recommended for normal
      installation.  Care should be taken to ensure that (1)  adequate
      isolation is  provided to minimize extraneous airborne noise due to
      vibration excitation and (2)  the process noise does  not exceed the sound
      of the device itself.

    • The measurement standard should require the input mass  and energy -and
      the output energy  to be brought to and removed from  the source under
      test without  influencing the  quantity being measured.

    • The measurement standard should specify the number of operational modes
      under which tests  are to be carried out.

    • The measurement standard should specify the extent of the loading and
      the manner of application of  the load to the source  under test so these
      are similar to actual use conditions wherever possible.

      The noise level  produced by a specific device is  not  only dependent upon
the sound radiating characteristics of the machine itself but also on the way
the machine is operated and/or installed and the specific  environment in
which it is used.   In setting noise limits  for  such devices through noise
emission or labeling  standards,  test  procedures  and measurement methodology
should  include such items as  loading,  operating  speeds, installation
requirements,  and  the location and specification of needed auxiliary
equipment.

                              14.1.  Source Location

     Sound pressure level measurements for a given device are obtained  by
measuring  at a specified distance  from the source in essentially free-field
conditions.  For sound power  determinations, in an acoustically controlled
environment, the source is usually located near the center of the room  for
anechoic measurements, near the center of the floor for herai-anechoic
measurements, while for reverberant measurements the source could be located
at various locations.  For devices normally mounted on or against a wall,
they should be tested in their "use configuration."

     As an example of a typical source location specification, consider
American Society for Heating, Refrigerating, and Air-Conditioning Engineers
                                    89

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Standard Methods for Testing for Sound Rating Heating,  Refrigerating, and
Air-Conditioning Equipment[51]:

     "5-1  EQUIPMENT LOCATION

     The equipment to be tested shall be placed in the sound test room in a
     position representative of normal usage (see Fig.  1.)

           5.1.1  Equipment Used Against  a ."Wall:  Equipment normally used
     against a wall  shall be positioned  against a wall, at least 5 ft from a
     corner of the room, and not on a center line of the wall.

           5.1.2  Equipment Used Away From a Wall:  Equipment normally mounted
     on the  floor  or ceiling away from a wall shall be located  no  closer than
      5 ft  to any wall,  and away from any position of room symmetry.

           5-1.3  Equipment Mounted Through Window, Wall or Ceiling:  Equip-
      ment normally mounted through a window, wall or ceiling shall be  mounted
      through the wall or ceiling of the test room and  shall be  located at
      least 5 ft from any corner and away  from  any position of room symmetry*
      except that equipment normally mounted near a  corner shall be located at
      the normal distance from  such corner."
                     A - Equipment location, Par. 5.1.2
                     B = Equipment location, Par. 5.1.1
                     C = Equipment location, Par. 5.1.3
                     D = Diameter of circular microphone traverse
                     E «Length  of  microphone  traverse (arc  or
                        linear)
                     F = Location of reference sound source, Par. 5.2
                     X = 5 ft minimum

                 Fig. 1  Location  of Equipment in the  Test Room
                                      90

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     Except  for devices  normally mounted on or against walls, the most criti-
cal requirement is that  sources not "be located nearer to a wall, edge, or   x
corner than  a distance of approximately A/H, where X is the wavelength of the
lovest frequency of interest.   When sources are located near reflecting
surfaces the sound power output is changed.

                       14.2.  Source Mounting and Installation

     The acoustic radiation of a device can depend on its installation.  In
general, the device to he tested should "be mounted under conditions similar
to those recommended by  the manufacturer for normal installation.  If a given
machine is to be securely "bolted to a heavy concrete floor in use, it should
be tested that way.  Many times it is impractical to simulate mounting con-
ditions such as exist in the actual machine installation.  In this case, the
usual alternative is to  use a  very resilient mounting.   Since devices can
produce forces which may excite vibration in the base,  floor, or surrounding
structure, and since these may in turn produce airborne noise, precautions
should be taken to ensure that adequate vibration isolation is supplied so
that extraneous airborne noises of this type are minimized.

     The mounting specifications should be well-defined — either the final
use mounting configuration or  a resilient mounting should be utilized.  Tests
should not be conducted  using  other mountings.  As an example of the level of
detail needed to adequately specify the mounting/installation of the device
during test,  American Society  for Heating,  Refrigerating, and
Air-Conditioning Engineers Standard Methods of Testing for Sound Rating
Heating, Refrigerating,  and Air-Conditioning Equipment[5l] is-again cited.

     "5.^.3   To minimize wall  vibration effects, the mounting wall shall be
     of heavy masonry or equivalent, or an auxiliary mounting platform
     similar  to that shown in  Fig.  2 shall be provided.
   Wall
 Seal
 (Rubber or Non-
 hardening Caulk-
 ing Compound)
 Test Room Side.
                               Test Unit
                               Vibration
                               Isolation
                               Pad
                               Concrete
                               Block
                                           wall
                                                                       Test Unit
Vibration
Isolation Pad
                                                       Supports
                         Fig.  2  Auxiliary mountings
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     5.^.H   The equipment  shall be mounted according to the manufacturer's
     instructions.   Openings "between the  equipment casing and vail shall be
     sealed with a  gasketed sound isolation plug similar to that shown in
     Fig.  3."
Test Unit
                               Gasket (Foamed
                               Rubber or Equiv.)
wail < ;
X 1 /
r ;
r: s Y
_1 J A
                                             Plug Filled
                                             with Glass
                                             Fiber   -~.
                                             Intulation or
                                             Equivalent
                i	1
1
I*1
1
1
^
\
t
1



., 	 — • Gasket ~ — -^.
(Foamed Rubber) *
or Equivalent)



	 11
1
1
1
1
1
1
I
1
L
                   Fig.  3  Typical sound isolation plug
     Mounting problems during test are not limited to stationary equipment.
For instance, the Compressed Air and Gas Institute - Test Code for the
Measurement of Sound from Pneumatic Equipment[52] specifies that in cases
where the process noise far exceeds the sound output of the machine itself,
e.g., riveters, and it is necessary to consider the machine on its own,  "it
should be run with the working tool embedded in a shock absorbing body whose
secondary sound level is at least ten (lO) dB below the machines own output
in each octave band of interest.  (For example, the tool is to be embedded in
or running on rubber, sand, etc.).11

     For in.-situ measurements, either indoors or out-of-doors, made on non-
stationary sources, e.g., motor vehicles, no special provisions are usually
necessary concerning mounting or installation.

                            14.3. Auxiliary Equipment

     In general, machines are governed.by the conservation  of energy prin-
ciple relating the balance of input/output energy.  For  example, the fuel
(gasoline) that is used  in an automobile is  converted  into  power  (including
noise and vibration)  and heat during  the combustion process.   It  should be
obvious that  this energy flow must be accounted for during  noise measurement
tests, especially those'conducted in  enclosed spaces  such as  anechoic  or
reverberation rooms.  If a car  is to  be tested  in  an  anechoic room,  the room
must be  cooled to dissipate  the heat  produced by the  combustion process, the
exhaust  emissions must be removed from the room, and  the power to the  wheels
must be  dissipated  through a dynamometer.
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     In the case of an automobile the output energy is the main problem.   For
devices which operate on electricity, the input energy is also a problem.   A
good power supply is necessary to supply any piece of electrical machinery
during test.  Machine noise may be influenced by irregularities in the power
supply output.  Noise in alternating current motors may be influenced by
voltage unbalance and/or harmonic content; noise in direct-current motors  may
be affected by ripples in the power supply.

     Auxiliary equipment may also be a problem out-of-doors.   The diesel
train locomotive, for instance, incorporates a diesel engine  which drives  an
electrical generator which in turn provides power to traction motors on each
axle of the locomotive.  The diesel engine is water cooled and utilizes
water-to-air heat exchange radiators and associated cooling fans.  Dynamic
braking is used on many locomotives to slow the locomotive and train at
higher speeds or on steep grades.  This is accomplished by disconnecting the
traction motors from the main generator and using them as generators.   The
high electrical currents that result are dissipated as heat through heavy
duty resistor grids with the use of separate cooling fans located in the roof
of the locomotive.  When such a locomotive is evaluated for noise emission
utilizing a stationary test, the generator load output must be dissipated
into a resistor grid load box.  This load box facility must be isolated from
the locomotive under test so that the grid cooling fan noise  will not  affect
the measurements.

     The basic requirement is that the input mass and energy  — gasoline,
air, electricity, etc. — and output energy — power, heat, air emissions,
etc. — be brought to and removed from the device under test  without influ-
encing the quantity being measured.

     Such requirements should be specified in the measurement standards.
American Society for Heating, Refrigerating, and Air-Conditioning Engineers
Standard Methods for Testing for Sound Rating Heating, Refrigerating,  and
Air-Conditioning Equipment[5l] stipulates the following requirements for
auxiliary equipment:

     "5.5 AUXILIARY FACILITIES FOR SOUND TESTING AIR CONTROL  & TERMINALS
     (ACT) DEVICES

          5.5.1  General

          5.5.1.1  A quiet air system shall be provided and arranged to
     absorb sound generated by the fan or duct system so that it does  not
     affect measurements of sound power generated by the ACT  device.
     Correction to sound measurements for background noise from the fan or
     duct system shall not be permitted.

          5.5,1.2  Background sound entering the test room through paths not
     involving the ACT device are corrected per Table III,  provided that the
     background sound level in the test room is measured with the air  duct
     into the test room blanked and the exterior noise shall,  not exceed that
                                    93

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    to prevail during measurement of the sound generation of the ACT device.

          5.5-l«3  Air flow control accessories (damper, deflectors,
    straighteners, equalizers, etc.) normally used in conjunction with the
    ACT  device under test, whether an integral part of the device or not,
    shall be included in the test setup.  They shall "be located and set in
    the  same manner recommended for the application of the ACT device.

          5.5-l.U  ACT devices shall be tested with an outlet duct of
    recommended size terminating in the test room.  In addition, ACT devices
    which are recommended to be used in combination with lined ducts, ells
    or  silencers  shall "be tested together with these with an outlet duct of
    recommended size terminating in the test room.

          5.5.1.5  When required, return air shall be vented from the test
    room through  a sound trap to prevent pressure build-up within the room.
    All sound measurements of test equipment, reference sound measurements
    of  test equipment, reference sound source and background noise shall be
    made with the return sound trap in place in a consistent manner, per
    Par. 8.1.1."

                       14.4. Operation of Source During Test

     The range  of noise levels generated by a device is dependent on  the
range  of operational  modes.  A noise emission or labeling  standard  should
specify tests at  a sufficient number of operational modes  to  fully  character-
ize the device.   For  example, a truck  is characterized by  two operational
modes  although the vehicle  can operate over a wide range of  speeds  under  the
various loads.   Low speed operation is measured by a maximum acceleration
test (engine/exhaust  noise) while high speed operation  is  measured  by a
coastby test (tire noise).   The  Society of Automotive Engineers  Recommended
Practice for the Exterior Sound Level  for  Heavy Trucks  and Buses[53]  defines
in great detail the operational procedure  for measuring maximum noise:

     "U.  Procedure

          U.I  Vehicle Operation - Full throttle  acceleration and closed
     throttle deceleration tests are to be used.   A beginning engine speed
     and proper gear ratio must be determined for use during measurements.

          U.I.I  Select the highest rear axle  and/or  transmission gear
     ( highest gear  is used in the usual sense:   it  is synonymous to the
     lowest numerical ratio) and an initial vehicle speed such that at
     wide-open throttle the vehicle will accelerate from the acceleration
     point:

          (a)  Starting at no more than two-thirds (66%)  of maximum rated or
          of governed engine speed.

          (b)  Reaching maximum rated or governed engine speed within the end
           zone.

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      (c)   Without exceeding 35 mph  (56 km/h) before reaching the end point.

      U.I.1.1  Should maximum rated  or governed rpm not "be attained
 before reaching the end zone, decrease the approach rpm in 100 rpm
 increments until maximum rated or governed rpm is attained within the
 end zone.

      U.I.1.2  Should maximum rated  or governed rpm not be attained until
 beyond the end zone, select the next lower gear until maximum rated or
 governed  rpm is attained within the end zone.

      U.I.1.3  Should the lowest gear still result in reaching maximum
 rated or  governed rpm beyond the permissible end zone, unload the
 vehicle and/or increase the approach rpm in 100 rpm increments until the
 maximum rated or governed rpm is reached within the end zone.

      U.I.2  For the  acceleration test, approach the acceleration point
 using the  engine speed  and  gear ratio selected in paragraph U.I.I and at
 the acceleration point  rapidly establish wide-open throttle.   The
 vehicle reference shall be  as indicated in paragraph 3.7.   Acceleration
 shall continue until maximum rated or governed engine speed is reached.

      U.I.3  Wheel slip  which affects maximum sound level must be
 avoided.

      U.l.U   For the  deceleration test, approach the microphone point at
 maximum rated or governed engine speed in the gear selected for the
 acceleration test.  At  the microphone point,  close the throttle and
 allow the vehicle to decelerate to one-half of maximum rated or of
 governed engine speed.  The vehicle reference shall be as  indicated in
 paragraph  3.7.   If the vehicle is equipped with an exhaust brake, this
 deceleration test is to be repeated with the brake full on immediately
 following  closing of the throttle.

      U.2  Measurements

      U.2.1   The meter shall be set for "fast" response and the A-
 weighted network.

      U.2.2   The meter shall be observed during the period  while the
 vehicle is accelerating or decelerating.   The applicable reading shall
 be the highest sound level obtained for the run,  ignoring  unrelated
 peaks due to extraneous ambient  noises.   Readings shall be taken on both
 sides of the vehicle.

      U.2.3  The sound level for  each side of  the  vehicle shall  be the
 average of the two highest  readings  which are within 2 dB  of  each other.
Report the sound level for  the side  of the vehicle with the highest
readings."
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An operational procedure for measuring tire noise would include the vehicle
speed, load per tire, and the pavement surface on which the  truck  could  run.
In this case the pavement surface not only has an affect on  the propagation
of sound but also on the sound generation process.

     Devices such as dishwashers and clothes washers operate according to  a
prescribed cycle and the noise levels generated depend on the particular
operational characteristics of each individual portion of the total cycle.  A
measurement during a single operational mode for such a device would  be
meaningless.  To fully characterize such devices, a measurement would have to
be made during the rinse operation, the water filling operation, the
spin-drying operation, etc.  This is somewhat analogous to the air emission
tests conducted on automobiles in which emission measurements are  made while
the vehicle runs through a prescribed series of operations known as the
driving cycle.

     The Compressed Air and Gas Institute - European Committee of  Manufact-
urers of Compressed Air Equipment Code for the Measurement of Sound from
Pneumatic Equipment[52] specifies for percussive machines the working
pressure, the material to be penetrated, the depth  of penetration  and the
feeding force.  For other pneumatic tools tests are to be run at no-load
(running free), at a rated load and speed, at governed speed under load, at
idle, at maximum performance, etc.

     To accurately characterize sources having noise levels  dependent on the
manner in which they are operated, operational constraints,  in conjunction
with precise measurement and calibration procedures, should be incorporated
into the standard measurement procedures.

                   14.5. Loading of Equipment During Test

     A garbage disposal obviously will produce a different noise level when
grinding bones than when grinding regular food.  Likewise, a dryer with a
load  of regular wash tumbling  sounds very different than if several pairs of
tennis shoes  are drying.  For  such devices there is a need for a "standard
load   so that comparisons can be  made among the noise levels produced by such
equipment.

     ^Stationary tests  on moving equipment require a different type of loading
 specification.  In such cases  a dynamometer or brake may be utilized to apply
 a specified load to  the device under  test, thus simulating the road load
 characteristic of normal vehicle  operation.

      The  static load carried by a vehicle also  has  an  influence on the noise
 generated  by the vehicle.   For instance  the loaded vehicle weight influences
 the noise  generated  by tires.  Depending on the tread  design, the influence
 can be significant.

      The  operational procedure can be such that the loading  is not important.
 Tests run  according  to the  operational procedure specified  in SAE J366b[53]
                                     96

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(see Sec. ik.k for details) are intended to yield the same noise level
whether a tractor is tested by itself or the tractor is  pulling a load  of
70,000 pounds.  The operational procedure specified hopefully ensures that
the engine is loaded properly and thus the load pulled is  not important.

     The extent of the loading and the manner of application  of the load to a
device under test are important considerations which should "be addressed.
Loading should "be similar to actual use conditions wherever possible and
operational procedures should include loading requirements along with those
for speed, gear selection, and other operational parameters.
                                   97

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                       15.  Measurement Procedures

  • The measurement standard should specify  the  location of all microphone
    positions.

  • The position of the source with respect  to the test environment should
    be defined.  If (for example*  in reverberation room measurements)
    multiple source positions may  be indicated*  criteria should be given for
    ascertaining how many source positions are required in order  to attain
    the desired level of precision and accuracy.

  • The number of observations3 and the averaging time for each,  necessary
    for each sound level measurement should be specified  in the measurement
    standard.

  • Criteria should be given to enable -determining whether the use of
    diffusers is indicated in reverberation room measurements.

  • Procedures for determining background noise should be specified.

  • Techniques and procedures for characterizing> or "qualifying" the test
    environment should be clearly laid out in the measurement standard.

  • Instrumentation and facility calibration requirements and procedures
    should be given.

     Previous sections of Part II have included discussions of the acoustic
 quantities  of concern in noise measurements, the types of acoustic
 environments  and how they relate to measurements of sound pressure and
 sound  power,  instrumentation used for acoustic measurements> and the
 influence  of  the way the source is installed and operated. *In the present
 section, these factors are incorporated into a discussion of overall
 procedures  for conducting acoustic measurements.

                                 15.1.  General

     It is essential  to keep in mind that the  sound power  radiated "by a given
source, and the sound pressure at any given  location relative  to  that source,
will depend upon the acoustical properties of  the environment  in  which the
source is located,  the transmission path(s)  between the source and the
microphone, and the properties of the environment in which the microphone is
located — all in addition to the properties of  the source itself.

     For a more complete description of sound  propagation  in a medium, it is
 useful to introduce the particle velocity, u,  in addition  to the  sound
 pressure, p, and the density, p.  If the acoustic pressure and particle
 velocity can be expressed as harmonic functions, then  these quantities* are
 related by:
 *An underlined symbol denotes a complex quantity having,  in general,  both real
 and imaginary parts.  An arrow over a symbol denotes a vector quantity.
                                      98

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where u = 2irf is the circular frequency, i  = -1, and V designates the
gradient operator.


     In general, p_ is of the form Pe1'e*""Ud , where P is the amplitude and <|>
is the phase angle at t = 0.  In acoustics it is customary to suppress the
time dependence and simply write p_ = Pe  .  With this convention,  the
time-average power per unit area, known as the intensity, is
          I = {pu)t = |fie (£*u) = ^Re (pi*)                           (>5)
                           "rms cos  «•                               (UT)


whereby  designates a .time average, $ is the phase angle "between the
acoustic pressure and the particle velocity, and "rms"  indicates the
root-mean-square values of pressure and velocity.

     The total time-average power flow across any closed surface surrounding
the source is
                                                                      (W)


where n is an outward directed unit vector perpendicular to the elemental
surface area, dS.  The integration is over the entire  closed surface.  In
terms of the root-mean-square pressure and velocity,


                             r     *    *
                        W - J P    u   «n cos 6 dS.                   (Ijo)
                            ^ ^rms  rms                              ^^y'
                            D
Since W represents the total radiated power,  it is independent of the  size or
shape of the surface of integration, providing the medium  is non-absorptive.
                                   99

-------
     Ideally, the total sound power  emitted by a source would be determined by
direct application of eq.  (^9).   Although there have been "intensity meters"
constructed (e.g., see[55-6l] and there is current  interest[62] in this method
of sound power determination, intensity meters are  not commercially available
and there are certain difficulties in applying eq.  (1*9) to real-world
situations[63].

     It also is of interest to consider the  energy  density  (or total energy
unit volume), wt in the medium through which the  sound is propagating:

        w = - -^ + y Pu2  ;                                         (50)
            2 pc2

where p2  =  |p|2  and  u2  E  |u|2.

At  sufficiently  large distances from the source,
                                                                   (51a)

                                                                   (51b)
              pc

              pcu2                                                  <51c>

                                                                   (51d)
       lul
       I  '   pc
       w
           pc2

       w - pu2                                                     <51e>
The region where all of these relations hold true is known as the far
field.  The particle velocity is  in phase with the acoustic pressure (as is
the case for a simple plane wave) and there is no reactive component of
energy density.  Thus all of the  energy density  is radiant energy.  In the
near-field region, close to the source, there is a large  component of the
particle velocity which is out of phase with the acoustic pressure,
resulting in reactive energy which does not radiate outward!32].

     Since instruments for direct measurement of acoustic intensity are not
generally available and since, over the frequency range of interest for many
noise sources, acoustic pressure  can be measured more  readily than particle
velocity, it is customary to carry out determinations  of  the noise emission
of sources by measuring the mean-square pressure and assuming that  |l]=p /pc-
Note that this assumption is often implicitly made whether or not one is
interested in computing the sound power.   If  one measures the sound level due
to, say, a motor vehicle passby,  one wishes to be  able to predict the sound
level at other distances from £hat measured at a particular  distance 	 this
implicitly requires that I « p .

      If it is  desired  to determine the total sound power  from measurements of
mean-square pressure,  eqs.  (1*8) and  (^9)  are replaced by


                                     1QQ

-------
         W~—   f  2
           * PC yg P  dS ;                                           (52)

 this equation involves two distinct assumptions:
                                                             2
     - the acoustic intensity can be accurately estimated by p /pc.

     - the surface of integration has been selected such that the flow of radiant
      power is normal to that surface at all points on the surface.

 Deviations from either of these conditions will result in errors in the deter-
 mination of sound power.  In addition, of course, errors may result from inade-
 quate sampling of the sound field over the surface of integration.

      Note that it is necessary for all five conditions given in eqs.  (.51) to be
 true in order to be in the far field.   However, it is only necessary that eq. (51b)
 be true in order for eq. (52)  to be valid.  Thus, in some cases,  accurate deter-
 minations of total sound power may be  based on measurements of  mean-square pressure
 gven when such measurements are not made in the true far field.  An example of
 this is the periodic simple source which is considered below.

      Conceptually, one of the  simplest sound sources is a "pulsating  sphere"
 from which acoustic energy is  radiated uniformly in all directions  into  free
 space.   The instantaneous sound pressure due to such a source is, in  complex
 form,

            P  ±u(r/c - t)                                          (53)
        £ = - e

where P is the amplitude at unit distance from the center of the source; the
real part of eq.  (53) is seen to be as given in eq. (l).  Using  eq.  (hk), the
radial particle velocity is

          _ _i s£. _  /    _ic\  P  eioj(r/c - t) _                     (54)


This can also be expressed as

          _    p      i[w(r/c - t) + 4>] ^                           (55)
        — ~ per cos<|>

where

                   c                                                (56)
        * E arctan —


is the phase angle between p and u.
                                    101

-------
     Thus the intensity is given, from eq.  (H?), by
                                                                    (5T)
at any radius.   The intensity is, of course, radially directed.  The total
sound power,  from either eq. C^9l or eq.. C52] is


                         'h&                                   (58)

                  .  *I . Zi                                         (59)
                     pc  2

which, as it must "be, is independent of r.

     The energy density at  any  radius r is given, from eq.. (50), "by



                                                -.
                                                                       2
 Thus,  the energy density appro ache Sgits far-field value only when (cur/c)
 »1,  or, equivalently, when (X/2irr)   «1, X  "being the wavelength of sound at
 the frequency of interest.   Yet, even in the very near field, as ru/c-*0,
 the intensity and sound power are given exactly "by the usual "far-field
 formulae", eqs.   (58) and (59).

      For a dipole point source (i.e., two point sources of equal strength Taut
 opposite phase  located close together)  the  radial intensity- at radius r is
 related to the  mean-square pressure at  the  same location "by132, p. 312]
                                                                     (61)


 Thus, for a dipole source, estimates of sound power based on measurements of
 mean-square sound pressure will give somewhat high results,  the  approximation
 getting better as the distance from the source increases.


      For more complicated sources, analytical expressions giving a general
 description of the relations among intensity, acoustic pressure, and particle
 velocity are, if attainable, frequently quite complex.  Accordingly, the
 following discussion relates only to the intensity in a particular direction
                                       102

-------
 (for which a simple solution exists) rather than to the total radiated sound
 power.

      Consider a rigid, circular piston of radius, a, located in an infinite
 rigid baffle, as shown in Figure 18.  If the piston oscillates in the

 z-direction with a velocity Ue"~   ,  the sound pressure on the z-axis is  (see,
 e.g.»[61»,65])

         £ = pcu

 Utilizing eq. (kk),  the particle velocity on the z-axis and  in the z-direction
 is
                                                      1/2
 u  = UJe
          ito(z/c - t)
                             z/a
        /                (1 + z2/a2)1/2
Using  eq. (1*5),  the  axial  intensity is
                           lu[(1 + z2/aV  a/c - t]
      pcU2
           1 +
                         2172
                  sin2
                  + z2/a2)
The intensity is related to the mean-square pressure by

                  I L ,  _ z/a	\
                  21,,.
pc
                               :2/a2)
                                     1/2
                                                                    (63)
                                                       (64)
                                                                     (65)
At z = 0, p /pc overestimates the axial intensity by a factor of two, or 3 dB.
As z/a—»•», I —»-p /pc.
             2*
	 w
L «. J
f tG *l
* 11
M i
Figure 18.
            Schematic representation of a rigid circular piston of radius, a,
            contained in an infinite baffle.
                                    103

-------
     Figure 19 indicates the variation with distance  of the  axial  intensity
level for three values of wa/c.   It is seen that for  large wa/c both the
intensity and pressure level oscillate rapidly for small z/a and do not
decrease monotonically until

                                z_   \_ t Ola _ ji
                                a > 2-rr* c ~" X

where X is the wavelength of sound at a frequency w/2ir.  This phenomenon
occurs because sound radiated from different regions  on the  piston results  in
interference phenomena.  The curves in Figure 19 are  normalized to the
far-field on-axis levels, extrapolated "back, "being set equal to 0  dB at
z/a =1.  The differences, in dB, "between the solid curve and the dotted line
of slope -6 dB/double-distance represent the errors that would result  from
predicting far-field on-axis levels from near-field on-axis  levels at  any
particular z/a.

     The dashed line in Figure 19 indicates the intensity that would "be
predicted from far-field measurements of the total radiated sound power  rather
than that radiated in the z-direction.  It is seen that the far-field
intensity in the axial direction is greater than the average intensity,
particularly for wa/c » 1.  This is better seen in the directivity  plots
shown in Figure 20, where the far-field intensity level is shown,  as a
function of angle, relative to the average  intensity level (i.e.,
corresponding to the total  sound power radiated into the half-space
corresponding to positive values of z) [65,66].  For large values of wa/c,
most of the sound power is  radiated into a  narrow beam along the z-axis.

     The rapid  oscillations in intensity and sound pressure levels and the
directive radiation patterns  result from the fact that.the piston is a
coherent source — the velocities  at  all po?'nts on the piston have a definite
phase relationship with one another (for a  rigid piston they are exactly in
phase).  It is  instructive  to contrast this with the case where all points on
the piston radiate independently with no phase relations.  For an ensemble of
incoherent point sources, each radiating uniformly in  all directions, the
intensities can simply be summed and  the on-axis intensity  due to an
incoherent circular source  is[67-68]
                                                                    (66)
              pc

 where W is the total sound power radiated into  the half-space  (z positive).
 This is plotted in Figure 21.   It is  seen that  the intensity decreases
 monotonically with distance away from the piston and approaches its far-field
 dependence on distance very closely for all values of z/a greater  than  unity.
 The far-field radiation from such an  incoherently radiating circular  source  is
 independent of both angle and frequency.

      In order to introduce another phenomenon that is characteristic  of sound
 radiation, consider an infinite plate that is vibrating in flexure as
 indicated in Figure 22.  If the velocity of the plate normal to its  surface  is
 described by
                u(0,y)  - Ueia)(y/cB ~ c>                               (67)

-------
     o
     
-------
                 10    0  -10  -20  -10
                                            CJQ
                 10   0  -10  -20  -10   0
                                              OJQ
                                                  10
                                                aja
                                                     100
        30   20   10   0   -10  -20  -10   0    10   20  30

             RELATIVE  SOUND  PRESSURE LEVEL,  dB

Figure 20. Far-field  radiation patterns showing the directionality for a
          "baffled rigid piston.
                                106

-------
   CD
   ^^
     •*
   _J
   Ul

   LU


   K
   CO

   UJ
   J-
 Figure 21.  Axial intensity level  due to  an  incoherent  circular  source.
                                                   B
Figure 22.  Schematic representation of sound radiation from an infinite plate
            in which there is a plane "bending wave propagating at speed, c.
                                   107

-------
where c  is the velocity of sound for flexural (bending)  waves  in the plate,
the sound pressure can "be shown to "be [33,  (&> 70j:
   P(z,y) =  ,  HUU      eiUJU""B '  'V- - - '-B r ~ t] , CD >c    (68a)
               - c2/v
                                                          B
                                                    - t]
                                                           B
When CB >c, the pressure at z = 0 is in phase with the velocity; when CB <  c,
the pressure and velocity at z = 0 are out of phase.

     The velocity, CB, of flexural waves in an infinite plate is not constant
but is related to frequency by

               c  - a\4  ,                                           (69)
                B

where a is a constant which is dependent upon  the plate thickness and elastic
properties.  Introducing a "critical frequency", w  = c /a , and using eq.
(hh) , the particle velocities in the z- and y-directions are
                          pc
                                                                   (70a)


                                                                   (70b)
                            „      ,n
                            £.    , all  u  .
 Using  eq.  (^5), the corresponding intensities are

              T  _    PcU2          ._..                            (72a)
                                                                   (72b)
              —z    2\/l - w /o>   ,     o
                      T      0
                                                                    (73a)
                      2       w -   »«                     , w
-------
                 III
                         pcU2    1
              2    1 -  co/0)
                                                                      (75a)
                                              -2 w  , the power is radiated as a plane wave in the
  direction 0, where     °
               6 =
  so that
Sln
                          c      A
                                                                      /-ir\
                                                                      (76)
                                                                      (77)
 where,  as  shown in Figure 22, X is the wavelength of the radiated sound and X
 is the  wavelength of the flexural wave in the plate.  The angle, 6, at which
 the sound  is radiated must be such that the radiated wave has a "trace", or
 projection, onto the plate that is equal to the wavelength of the plate wave.
In the case where 
-------
                  i      i—i—i—i—i i  i i
i	1	1—i—i  i  i i
                                                                   100
                                                                    !00
Figure 23.   Far-field intensity level (lower figure) above the critical
            frequency for an infinite plate in flexure.  The upper figure shows
            the direction (relative to the plane of the plate) in which sound
            is radiated.
                                    110

-------
       -30
            .01
Figure 2k..  Intensity level parallel to an infinite plate in flexure at
            frequencies "below the critical frequencies.  The different
            curves correspond to different distances from the plate.  The
            reference level (corresponding to 0 dE) is  the same  as  in
            Figure 23.
                                       Ill

-------
   - coherently radiating  sources are frequently highly directional and in
     some cases the intensity  in a given direction oscillates widely with
     distance from the source

   - vibrating plates  have associated with them a "critical frequency" below
     which very little sound energy  is radiated into the far field and above
     which energy is radiated  very efficiently in a specific direction

When sources radiate prominent discrete tones, particular care should be taken
to ensure that microphone  locations  are far  enough away from the  source
(unless, of course, primary interest is in near-field measurements, e.g.* at
an operator location).  For many practical sources, however, reliable sound
power determinations can be based  on measurements made rather close to the
source  [5-7].

                            15.2. Microphone Positions


                            a.  Anechoic Space


     If sound pressure measurements  are made over a hypothetical  sphere, of
radius r, surrounding a sound source, the total sound power is given by

                   «•  ^                                    (78)
where\p  /is  "the  spatial average  of the time-averaged  squared  sound pressure
over the  surface of the sphere, provided the conditions  for the validity  of
eq.  (52)  are met.  The total radiated sound power level can be  computed from
          r  =  L~ + 20  log r + 10 log 4n - 10 log ^    3             (79)

 in metric units, where L  is the spatial average of the sound pressure level*
 the average being  taken ,Pon a mean-square pressure basis, over the surface of
 the sphere.

      In carrying out sound power determinations in an anechoic chamber, it is
 frequently desired to measure the  directivity pattern of the noise source.
 It is customary to define a  directivity factor, Q , defined as the ratio of
 the intensity measured at angle 9  and  distance r from the source to the
 average intensity at distance r .   Thus ,
           % - V1 - Pft     =                 .                     (80)

  The  directional gain, at angle 9, can be defined as

           DIe = 10 log Qfi = L^ - IT  .                             (81)

  The  sound pressure level at angle 8 and distance r is related to the total
  sound power and the directivity index by
                       DIe - 20 1Q8 r -  10  ^g  4u + 10  log
                                          112

-------
      The current American standard[7l] and the draft international
 standard[ll|] for determination of sound power in an anechoic chamber recommend
 that the sound pressure be measured at locations corresponding to the 20
 surfaces of a regular icosahedron.  Other possible microphone arrays are given
 in [72-73].  In lieu of a stationary array of microphones, measurements can be
 made along a number of continuous paths, either by moving the microphone(s) or
 by rotating the source (see b., below).

      The major considerations in selecting microphone locations for measure-
 ments in an anechoic environment are (l) to be far enough away from the source
 to be assured of being in the far field yet close enough that reflected
 signals and background noise are negligible compared with the direct signal
 from the source and (2) that sufficient microphone locations are used to
 obtain adequate spatial averaging, especially for directional sources.
 Whenever there is any question concerning these points,  it is advisable to
      measurements at additional angular positions and/or at two or more radii.

                            b. Hemi-Anechoic Space

      In carrying out measurements in a free field over a reflecting plane,  it
    be desired to obtain the sound pressure level at one or more  specific
 microphone  locations (e.g.,  a microphone at a distance of 50 feet  from  the
 center line  of a passing vehicle)  or  to obtain the sound  power level (with or'
 without directivity information).  In the case of sound  pressure level
 measurements,  the microphone location(s)  is(are)  selected to correspond to
 "typical listener locations  or to  provide  information that can be reliably
 extrapolated to other locations.   In the  case of  sound power level
 determination,  measurements  of sound pressure level  are  typically made  over a
 hypothetical surface surrounding  the source.   If  a hemispherical surface is
 used, eqs.  (79)  and (82)  apply, but  with  fcir replaced by  2tr  and the  directivity
 index computed  from

         DIa =  L    - TT + 3  dB,                                     <83)
            e    PQ    P

 where L~" is  now the average  over  the test hemisphere.  The  3 dB arises from
 the facl that averaging  is not carried over the space below the plane.

     A number of microphone arrays corresponding to hemispherical measurement
 surfaces are suggested in the literature.  The current American standard[7l]
 endorses a 12-point array which is one of several arrays  suggested in [72].
Alternative 10-point arrays are given in [72], in [33,13], and in [IV].   One
recent investigation^] utilized a 73-point array.  In addition to these fixed
microphone arrays, it is common to use continuous microphone traverses (either
ty moving the microphone around the source or by holding  the microphone
stationary and rotating the source) along circular paths  parallel to the
reflecting plane.  One such configuration is shown in Figure 25.
                                   113

-------
                    AXIS  OF ROTATION OF MICROPHONE
                        TRAVERSING MECHANISM
      ELEVATION OF
  MICROPHONE TRAVERSES
HEIGHT OF CORRESPONDING
 AREAS OF HEMISPHERE
                                                          7777
Figure 25.  A suggested set of continuous micropfione traverses for determinate
           of sound power In a free field above a reflecting plane[l^l«
                                  llU

-------
      Selection of microphone locations for measurements over a reflecting plane
 is complicated by variations in sound pressure with angle due to  constructive
 and destructive interference between sound waves radiated directly to the
 microphone and reflected waves.  The type of difficulties that may be
 encountered can be illustrated by considering a point source located above a
 perfectly reflecting plane.  Assuming the measurement locations are
 sufficiently far away to be in the far field of the source and its image, the
 variation of sound pressure level with angle is as  shown in Figure 26, where
 the three curves shown correspond to a pure tone, a 1/3-octave band of noise,
 and a 1/1-octave band of noise.  Baade[?3], from whom this figure was taken,
 draws the following conclusions:

      "(a) At low frequencies, sound reflection does not cause  any significant
      directivity as long as the wave length is more than 10 times the distance
      between the source and the reflecting plane,   (b)  High frequency random
      sound is radiated fairly uniformly in all directions  except those almost
      parallel to the reflecting plane.   Microphone  readings  taken near the
      reflecting plane therefore tend to have low accuracy.   This low accuracy
      zone shrinks with increasing frequency and band width,  (c) At medium
      frequencies, the directivity pattern is very pronounced,  even for random
      sound of one octave effective band width,   (d)  The "valleys" in the curves
      [of Figure 26] occur in regular intervals.  At  any given  frequency and
      source location, low readings will be obtained  at  several microphone
      positions  spaced in the ratio of 1:3:5=7 from the reflecting plane.  Odd
      multiple spacings should therefore be avoided."

      Figure 27  illustrates the errors in determining the total sound power from
 a  random point  source a distance  h above a reflecting plane, when measurements
 are made in l/3_octave band widths,  for the microphone arrays indicated.  The
 difference  between the mean for each array (broken curves) and the true mean
 (solid curve) represents  the error associated with the particular array.

      One way to obtain essentially perfect  vertical averaging is to traverse
 the microphone  along  a meridian as  shown in  Figure 28.

      The curves shown in  Figures  26 and 27 were calculated for the case of a
 point source above a  perfectly reflecting plane.  In general, increasing the
 source size will result in less variation of the sound pressure level with
 angle.

     Other references  relevant to the effect of the  reflecting plane on the
 selection of appropriate microphone positions include [74-77J.

     Several recent investigations (e.g.,  [75, 5-Tl) have found that rather
 accurate  determinations of the total sound power emitted by real machines  can
be made using measurements of sound pressure level made quite close (0.3 to 1
*) to the source.  Accordingly, a draft international standard[13] suggests two
arrays of microphone positions to be used for such close-in determinations of
sound power.
                                   115

-------
Figure 26.
Effect of "bandwidth on directivity of sound field of a point source
at a distance, h, from a reflecting plane U = vave length at
center frequency of
                 pure tone
                 1/3 octave '
                 full octave
                 ^effective "band width
                                  116

-------
                                         ,TRUE MEAN  LEVEL
                                          OBTAINED BY INTEGRATION
V)
_]
UJ
go
o
UJ
o
      -3
      -6
     -12
     -15
   -v*
               MEAN OF (4) POINT
               HEMISPHERE
                                              MEAN  OF (6) POINT
                                              HEMISPHERE
    0.2    0.3   *  O6        1.0       2O   10

DISTANCE FROM SOURCE  TO REFLECTING  PLANE
                WAVE  LENGTH
                0.1
5.0
                   £
                   X
Figure 27.  Error introduced "by limited number of measuring points when deter-
            mining sound power output of a random point source near a reflecting
            plane[73-7^]•  The error is the difference "between the curve corres-
            ponding to a given microphone array and the solid curve which corres-
            ponds to the true mean level.  All curves correspond to a 1/3-octave
            "band width.
                                   117

-------
                        TRAVELING MICROPHONE
                                                 COSINE FUNCTION
                                                  POTENTIOMETER FOR
                                                  AREA WEIGHTING
                                      NOISE SOURCE ON
                                      REVOLVING PLATFORM
Figure 28.  System for microphone traverses along meridional patns[lU].
                                  118

-------
      In  the  first of these, a "reference parallelepiped", as shown in Figure
 29,  is imagined to just enclose the source.  A measurement surface is
 hypothesized to have its faces parallel to, and spaced a constant distance
 (typically 1 m) from, the reference parallelepiped.  Nine key microphone
 locations are established, corresponding to the (approximate) centers of the
 five faces,  plus the four upper corners, of the measurement surface.
 Procedures are given in [13] for adding additional microphone positions for
 large sources.

      Figure  30 shows an example of the "composed measurement surface" given in
 [13].  It consists of a parallelepiped with rounded edges and corners so as to
 "be everywhere equidistant from the reference parallelepiped which just
 encloses the source.  There are eight key microphone positions, four on the
 side faces and four which usually lie on the upper curved edges of the
 measurement  surface.

      HolmertT] has carried out extensive comparisons of data (on 17 portable
 air  compressors) obtained using the surfaces of Figures 29 and 30 with data
 obtained using a 73-point hemispherical array of 7 m radius.

                            c.  Reverberant Space

      As stated at the beginning of Section 12. 2. c, elementary reverberation
 room theory  is based on geometrical acoustics, in which wave phenomena are
 neglected.   If that assumption were true, a single microphone placed in the
 reverberant  field would suffice.  However, wave phenomena result in local
 variations in the sound pressure level, particularly for pure-tones.  The
 question of  how best to sample the sound field in a reverberant room has been
 the  subject  of active research over the past decade [ 79-103 ].

      The sound power emitted from a source is related, as discussed in Section
 12,  to the sound pressure in the reverberant field averaged in space and time
 on a mean-square basis.  In practice, spatial averaging over a finite path
 length (using a traversing microphone) or over a fixed number of microphone
 positions leads only to an estimate of the true mean-square sound pressure.
 Theory shows that in order to have essentially independent samples of the
 sound field, microphones must be located at least (approximately) one-half
 wavelength apart at each frequency of interest.  In addition, interference
 phenomena occur near reflecting surfaces so that microphones typically are not
 located within one-half wave length of any room boundary or diffuser.  For a
 close-packed (hexagonal close-packed or face-centered cubic) array of
 microphones located one-half wavelength from each other and at least one-half
 wavelength from any wall,  the number of microphones that can be accommodated
 is less than
where V is the volume of the room and X is the wavelength of sound of
frequency f traveling at speed c.  This upper limit is shown in  Figure  31 as a
function of frequency for rooms of different volumes.   In practice the  number
of independent microphone positions which could be located in a  reverberation
room would usually be significantly less than this upper limit.

                                    119

-------
  MICROPHONE
  POSITIONS
MEASUREMENT
SURFACE
                         	L.	
        REFERENCE
        PARALLELEPIPED
Figure 29. Microphone array for a parallelepiped measurement surface[13]
                            120

-------
                       REFERENCE
                       PARALLELEPIPED-
       ////A//////////////////////
                            MEASUREMENT  SURFACE
                       REFERENCE
                       PARALLELEPIPED
Figure 30.  Microphone array for a "composed" measurement surface[l3].
                              121

-------
   1000
    500
co

O
CO
O
Q.

UJ
z
O
I
Q.
O
o:
o
 U.
 O

 o:
 ui
 CD
 X
 <
200 -
 100
                           63
                                     125

                             FREQUENCY,
250
                                                                     500
 Figure 31.   Upper limit on the number of microphone positions in rooms of the

             volumes shown if each position is at least a half-wavelength from
             all other positions.
                                   122

-------
     When a reverberation room is excited by a random noise source, the
normalized variance of the mean-square sound pressure in the room is given
approximately by the following expression[8U, 93* 100] provided the modal
overlap is sufficiently great (e.g., see eq. (31)) and there are no moving
diffusers in the room:

                V2 = !•  arctan z -^-ln (1+ z2)  ,                  (85)

                                              *
where z = BT/2.2, T being the reverberation time and B the bandwidth of the
filter.  For small values of z, eq. (85) becomes

                  2       z2       z4   z6
                 V  - 1  -  27J + JTs -  4^7  + '''' '                  (86)
         Q
so that V —*-l as BT—^0.  For large values of z, eq. (85) can be written as

           v2 = £ " \  C1 + ln z)	^—zr +	fi ~	      (87a>
                z   z2              1-3-z    2-5-zb


              5[f + °'8]    "  [erfl*0-8]   ' Z>>1*           (87b)

         p                                                      P
so that V —*-TT/Z » 6.91/BT as z>>l.   The normalized variance, V , computed
from eq. (85), is shown in Figure 32.  The spatial variance of the mean-square
sound pressure decreases with an increase in the bandwidth of the noise signal
since the number of modes excited in the room is approximately proportional to
the bandwidth.  As the reverberation time increases  the amount of modal
overlap decreases so that the effective number of independent samples in  a
given bandwidth increases.  It should be emphasized  that eq.  (83)  is  only
valid for modal overlap greater than about 3 so that if the reverberation time
is too large, the behavior shown in Figure 32 can no longer be expected to be
observed.

     If N independent samples of the sound field are taken, the mean  value of
the (normalized) squared sound pressure is given approximately by s   = V  /N.
The 95 percent confidence interval is given by +e =  +1.965.  Thus  the number
of independent microphone positions required in order to have 95 percent  con-
fidence that the fractional error in the mean value  of the squared pressure is
less than +_e is
                         N   >   A.96\   „
                             _   ^~-l   V  .                      (88)

As an example of the use of eq.  (88), let e=.259»  corresponding to 95 percent
confidence limits of +1  dB.   Let B = 23 Hz (l/3-octave band centered  at 100
Hz) and T = 2 s.  Thus z = BT/2.2 = 20.9.  From eq.  (83)  or Figure 32, V   =
0.132.  Thus a value of  N greater than (l.96/0.259)2V2 = 57.3V2 =  7.6 is
required.

     Figure 33, which was  generated using eq.  (85) and (88),  shows the minimum
number of microphone positions needed in order to be 95  percent confident  that
for l/3-octave bands of  random noise, the spatial average of the mean-square
sound pressure is known  to within +1 dB.   This number is  shown as  a function of

                                    123

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                                 I    I   I  I I   I 1 I
                                                 100  200    500   1000
                                      BT
Figure 32.   normalized variance, ((Q?2)2)  -  
-------
   100




CO


2  50


CO
o
O_
   LJ
   CL
   o
   01
   o
   or
   LU
   m
      20
       10
   =    2
           T  I   I  I  I  I   I  I  i   l
               PURE  TONE
          31.5    63     125   250   500    1000  2000 4000

                   BAND CENTER FREQUENCY,  H*
Figure 33.  Minimum number of microphone positions needed for 1/3-octave "bands

          of noise in order to have 95 percent confidence that the spatial

          average of the mean-square sound pressure is fcnovn within +1 dB.
                              125

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frequency (utilizing the fact that the "bandwidth of  a  standard 1/3-octave
filter is equal to 0.232 times the center frequency, so that  z =  fT/9.5) with
reverberation time as a parameter.  This figure may  "be used for other
reverberation times simply "by entering the abcissa at  a numerical value  equal
to fT and reading the minimum number of  microphone positions  from the  curve
corresponding to T = Is.

     Suppose additional absorption had "been added to a reverberation room,
lowering the reverberation time from hs  to Is, in order to obtain a more
uniform frequency response in the room.   Assuming modal overlap were high
enough in both cases for eq.  (83) to be  valid, it would be necessary to
increase the number of microphone positions from k to Ik  in order to still have
95 percent confidence that the average sound pressure level of a  1/3-octave
band of noise was known within +_ 1 dB.   This example illustrates  that  once
enough absorption has been added to achieve adequate modal overlap at  the
lowest frequency of interest, it is generally inadvisable to further reduce the
reverberation time.

     When  a reverberation-room is  excited by a number of pure tones, the
normalized variance of  the mean-square  sound pressure in the room, provided the
modal overlap  is  sufficiently great and there are no moving diffusers in the
room,  is given approximately by  [8U, 93, 100]
                                                                    (89)
                                                                 >


 where A. (or A.  or A. )  is the mean-square  sound pressure of the tone at
 frequency f, (or f, ) and T is the reverberation time.  In  its complete  form
 this expression is perhaps too  complex to  see easily the effects of the
 reverberation time and the spacing between tones.   However, several special
 cases do yield considerable insight.

      If the frequency separation, f. - f,, between tones is large  compared to
 the modal bandwidth, 2.2/T, only the terms for j=k contribute significantly to
 the summations and  eq.  (89) reduces to
         V
          ,2
               M
m=l
            M
                            A  2
                                            2   '                     (90)
                                         (A)
  If,  further,  all the  tones are of equal strength,

                          V =M    '                                  (91)
  Thus for well-separated tones of equal strength, the normalized variance of the
  mean-square sound pressure is simply equal to the reciprocal of the number of
  tones.

       If the tones are of equal  strength but  are no  longer well-separated, an
                                     126

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 interesting special case is that vhere the M tones  are uniformly separated by
 6f Hz.  With this simplification, eq.  (89) reduces  to
     M
             „  M-l      M-n
V  - c
                                          (nT6f/2.2)
                                                    2
                                                                    (92)
 Figure 3^ illustrates  the variance,  computed from eq.. ( £2) as a function of the
 number of tones,  with  T6f, the product of the reverberation time and the tone
 spacing,  as a parameter.   It  is  seen that when TSf is very small, so that the
 room responses to the  several tones  are highly correlated, the variance remains
 near unity, the value  for a single tones, until M increases enough so that some
 of the tones are  far enough apart in frequency to significantly reduce this
 correlation.  When T5f "becomes large, the variance approaches 1/M, the value
 for well-separated tones  (eq. (91))-  If the tones are not of equal strength,
 the variance will be greater  than that indicated by eq. (92) and "by Figure 3^
 tut the effect of reverberation  time will be approximately the same provided
 more than one tone contribute significantly to the overall mean-square sound
 pressure.   It is  again seen that the reverberation time should be as large as
 possible  provided only that it is small enough to provide sufficient modal
 overlap in order  that  the reverberation room have a fairly uniform frequency
 response.

      If the number,  strength, and spacing of tones is known, the variance com-
 puted from one of eqs. (89) - (92) can be used in conjunction with eq. (88) to
 estimate  the minimum number of microphones needed in order to determine the
 mean-square sound pressure within the desired confidence limits.

      Equation (Qk) and Figure 31 indicated upper limits on the number of
 independent"stationary microphone positions which can be accommodated in a
 reverberation room of  a given volume.  It is frequently more convenient to use
 a  single microphone which is moved slowly over a particular path so as to
 sample  the sound  field at  a number of positions.   Since the sound field at one
 location can be highly correlated with the sound field at a nearby position,  it
 is  useful  to consider  the  equivalent number of microphone positions
 corresponding to  a given path.  If a continuous linear microphone traverse over
 a path  length L is used the equivalent number of independent microphone
 positions  is  [85-87, 91,  93]:

                    2L-f - Ne  <  2L-| + 1  ,                        (93)
For a circular path of circumference L [93,96],
              N   £
                eq
          1    ,  2L'£ <  1

         2L--  ,  2L-- >.  1
            r       c
(94)
At high frequencies, where adequate spatial sampling can readily be  achieved,
it may be easier to use a continuous traverse.   At lower frequencies,  a  fixed
array will usually enable more independent samples than can simply be  obtained
with a continuous traverse.
                                    127

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   CM
   >
                                        M
Figure 3^.  Normalized variance of the mean-squared sound pressure in a room,
            having a reverberation time, T, excited by M equal-strength pure
            tones uniformly separated in frequency by 6f.  The curves
            correspond to eq.. (92) which is valid for modal overlaps greater
            than about 3.
                                   128

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      The  current national[29] and international[lO] standards for determination
 of  sound  power in a reverberation room state that for broad-band sound sources,
 space averaging of the sound field shall be accomplished by one of the
 following two procedures:

      (l)  Traversing a microphone at constant speed over a path at least 3 m in
          length while the signal if being averaged on a mean-square basis.
          The path may be a line, an arc as obtained by swinging the
          microphone, a circle, or some other geometric figure.

      (2)  Using an array of at least three fixed microphones (or microphone
          positions) spaced at least X/2 from each other, where A is the
          wavelength of sound corresponding to the lowest frequency in the
          frequency range of interest.  The outputs of the microphones shall be
          either scanned automatically and averaged on a mean-square basis by
          the indicating device, or the average shall be computed from the
          mean-square outputs of each individual microphone position.

A path length of 3 m for the traverse and three positions for the array are the
Minimum requirements.  It may be necessary to use a more extensive microphone
traverse  or array, or use moving or stationary sound diffusers, or both, in
order to  meet the requirements of the standard.

     For  pure tones sources the national[29] and international[11] standards
require the minimum number of independent microphone positions shown in the
following table:
OCTAVE BAWD
CONTAINING
DISCRETE
FREQUENCY
COMPONENT
125 Hz
250 Hz
500 Hz
1000 Hz
Above 1000 Hz
THIRD-OCTAVE
BAND CONTAINING
DISCRETE
FREQUENCY
COMPONENT
100 to 160 Hz
200 to 315 Hz
UOO to 630 Hz
800 to 1250 Hz
Above 1250 Hz
MINIMUM
NUMBER OF
INDEPENDENT
MICROPHONE
POSITIONS
6
12
2l»
30
30
The corresponding approximate minimum path lengths,  if a traversing microphone
is used, follow from eqs. (9l) or  (92).  These standards[10,29]  also require
that:
                                  129

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    The microphone traverse or array shall be within that  part of the test
    room where the reverberant sound field dominates and where the
    contribution of the direct field to the measured mean-square pressure is
    negligible.  To ensure that the chosen microphone traverse or array is
    within the reverberant field, the following criteria shall be met:

    (l)  The minimum distance between the sound source and the nearest
         microphone position shall not be less than

         d  .  = 0.08
          nun

         where
           V = volume  of test room in cubic meters
           T - reverberation time in seconds

     (2)   ....

This criterion  corresponds  (see  eq..  (21)) to the total  (direct and
reverberant)  sound field not being more than 1.8 dB  above the reverberant
sound field (i.e., the  direct  field  is  3 dB below the reverberant field),
provided the source is  essentially omni-directional.  If the source is
directional,  one  should place  the nearest microphone(s) still  further  from the
source (see eq..  (21))  to assure  that the direct field is at least  3 dB below
the reverberant field.   Since  typically only one or  two of the several
microphone positions would be  close enough to the  source to be affected by the
direct field, the bias introduced is rather small  (e.g., if only one  of six
microphones is  biased upwards  by 1.8 dB, the estimate of the average  sound
level will be biased upward by 0.3 dB;  if  more microphones are used,  the bias
would typically be less).

                              15.3.  Source Positions

     The importance of selecting an appropriate source location„ typical of
normal operation, was mentioned in Section lU.l.   In carrying put measurements
under conditions of a free field, or a free field over a reflecting plane,
there are no additional measurement procedures specifically concerned with
source position.

     The current  national[29] and international[ll] standards for
determination of  sound power in a reverberation chamber give an empirical
formula for calculating the recommended number of source locations when the
source produces pure tones  (see also [97]).  This number depends on the
reverberation time and volume of the room  and  on the frequency of the  tone(s).
The use of multiple source positions reduces the error due to low modal
 density because  the extent to which a given mode is excited depends on the
 source positional*].   "The error due to incomplete space averaging is reduced
 because  the total number  of samples of the sound field is the product  of  the
 number of microphone positions  used for each source position  times the number
 of the source  positions"[29].
                                    130

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                             15.4. Period of Observation

      If the sound level at any given microphone position is  steady, the
 required sampling time follows directly from considerations  such as those
 discussed in Sec. 13.  In carrying  out measurements  of  the noise emitted from
 a particular source, several factors can cause the sound level at a given
 location to vary:

      1*   The noise emission from the source may be  inherently variable as a
           function of changes  in some operating parameter (e.g., speed, load,
           normal operating cycle).

      2.   There may be changes in the environment through which the sound
           propagates.  These could  include wind, air turbulence, temperature
           gradients, etc.

      3.   Some aspect of the measurement process may vary the sound level.
           Typical examples would be motion of the microphone relative to the
           source or modulation of the sound  field in a  reverberation room by a
           moving diffuser.

      In case 1, it is necessary to  decide whether one is  interested in the
 noise emission during one  or more specific portions  of  an operating cycle or
 whether one is interested  in an appropriate  average  over  a complete operating
 cycle.   Once this decision has been made, the appropriate period of
 observation follows rather easily.

      In case 2, one is probably in  trouble if the situation arises and hence
 one  should seek a more favorable environment.  However, if that is not
 possible,  sufficient independent data points  should be  taken to permit
 averaging  out statistical  variations.

      In case  3, two  situations merit specific mention.   If a source  is being
rotated in an anechoic  (or hemi-anechoic) environment (or if a microphone  is
being moved around the  source) it is important that the motion be  slow enough
to permit valid sampling.  This is particularly important for highly
directional sources and for sources  which produce random noise.  If sound  power
determinations  are being made in a reverberation chamber it  is very common to
use a moving microphone and/or a moving diffuser.  The national[29] and
international[10, 11]  standards provide guidance on the appropriate period of
observation.
                             15.5. Use of Diffuse™


      It has been customary for many years to use fixed and/or moving
"diffusers" to  affect the accuracy and precision of sound measurements carried
out in reverberation rooms.  Dodd and Doak[105l have pointed out the reasons
why stationary  diffusers are probably rather ineffective in  improving
reverberation room determinations of sound power:
                                   131

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         "Also, it is perfectly clear  that, whatever  else they may do to
    affect sound pressure level distributions  in reverberant rooms*  fixed
    diffusers in no way reduce, or otherwise affect,  the statistical spatial
    and frequency fluctuations in sound pressure level  described  above.  Thus
    use of fixed diffusers will not, in general, reduce the amount of
    frequency and space averaging required to  give unambiguous measurements.
    Fixed diffusers could, in theory,  reduce eigenfrequency degeneracy  and
    also eigenfunction degeneracy (i.e., the tendency of eigenfunctions in
    geometrically simple rooms to fall into classes having  maxima or minima
    at particular points).  As, however, reverberant rooms  are seldom
    constructed in the shapes of perfect spheres, cylinders,  or  cubes,  and
    also because when used in practical measurements they usually contain at
    least one  scattering object, it would appear that use  of  fixed diffusers
    contributes much more to optical aesthetics than it does  to  acoustics.
    Of course, there is one notable exception to this remark. When
    relatively large areas of absorbing material are placed in reverberation
    rooms for  absorption coefficient measurements — on the floor, for
    example  — the reverberant  field may no longer be directionally
    isotropic.  In this case, it  is possible that suitable fixed diffusers
    can  restore a measure.of  directional isotropy to the field in the
    neighbourhood of the area of  the  absorbent  material."

    On the  other  hand,  it has been well established  that moving diffusers can
very significantly improve the determination of  the average steady-state sound
pressure level in a  reverberation room.  Consider first the situation where a
diffuser is  incrementally moved through a range  of stationary orientations.
Each change in orientation can result  in a perturbation of  the standing wave
pattern in the room, with both the eigenfrequencies and the eigenfunctions
being somewhat changed.  In addition,  as shown by Ebbing[lo6], the radiation
impedance seen by the source will vary with diffuser  orientation  so  that the
actual sound power radiated by the source  also will vary.   Thus,  even when a
diffuser is moved very slowly, the various  orientations of  the diffuser lead
to an improved average for the mean-square sound pressure in  the  room.

     When the diffuser is moved more rapidly,  there is both amplitude  and fre-
quency modulation of the sound field[107-110,  93, 97-100] with the result that
the sound energy from a pure tone is converted into a number  of  tones  —.as
seen in Section 15.2, the spatial variance due to a multitone can be much less
than that due  to a single tone.  In addition,  the rotation of the diffuser
does not permit modes to build up to the full strength they could have if the
diffuser were  stationary.

     While the design of moving diffusers remains somewhat of an art, it is
recognized[llO] that  the major  design parameters are size, shape, percent open
area,  surface  density,  speed, number  of panels,  and panel' damping.  A few
general  guidelines  for  the  design of  rotating diffusers are given in current
 standards[29,11].

                        15.6. Background Noise Measurements

      A general discussion of criteria for background noise was given in
 Section 12.3.   It is important to assure that the background noise'  is  the same

                                    132

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vhen  it  is measured  as  it  is when the  source is operated.  If corrections for
"background noise  are to "be made, additional measurements may "be necessary to
ascertain whether or not there  is coherence between the source noise and the
"background noise.

      Peterson[lll] has  recently examined the uncertainties which may occur in
the background noise correction when the device noise and the background noise
are both random in character.

                       15.7. Characterization of Test Environment

      Section 12.2 includes discussions of the adequacy of various types of
test  environment.  In the  present section, a brief summary is given of the
means for characterizing the test environment which are spelled out in current
standards.

                             a.  Anechoic Chamber

     The current draft  international standard[lU] for precision determinations
of sound power in anechoic rooms requires measuring the change of sound level
with distance along  at  least eight straight paths away from the center of an
omnidirectional sound source which is radiating a pure tone.  The range of
distances and frequencies  for which the measured sound levels agree, within
specified tolerances, with levels predicted by the inverse square law define
the usable volume and frequency range for the anechoic chamber.

                        b.  Hemi-Anechoic Environment

     The current draft international standard[ik] for precision determinations
of sound power in hemi-anechoic rooms utilizes the qualification procedure
just described but allows larger deviations than in the case of anechoic
chambers.  No corrections are permitted for the influence of the test
environment.

     The current draft international standard[l3] for engineering methods of
determining sound power under free-field conditions over a reflecting plane
permits making a correction of up to 2 dB  for the influence of the test
environment.   Three alternative methods are given for qualifying the acoustic
environment and determining the "environmental correction":

     1.    Replace the device  whose sound power level is  being determined with
          a reference sound source of known sound power  output.   The environ-
         mental correction is then taken  as the difference between the known
         power level and the power level  computed using the procedures of the
          standard.

     2.   Replace the device  whose sound power  level is  being determined with
          a broad band test source (of unknown power output).  Determinations
                                   133.

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         of the sound power of this test source are made using three measure-
         ment  surfaces of similar shape "but different size.  The
         environmental correction is obtained from the differences among the
         three sound power levels obtained in this manner.

     3.   Compute  the environmental correction from measurements of the rever-
         beration time of the test room.

The current draft  international  survey method[l5] for determination of sound
power levels permits environmental corrections of up to J  dB based on the
absorption (estimated or  computed from the reverberation time) of the test
room.

     The above-described procedures are  based mainly on the work of
Hubner[5-6],  Diehl[112-113]  has investigated determination of environmental
corrections by the "two-surface  method"  in which two measurement surfaces of
different area are utilized vith the  actual  device  under investigation  (rather
than a special test source).

     Hubner[6] has pointed out that none of  the above procedures for
determining environmental corrections can account  for  the influence of  the
acoustic impedance of the reflecting plane.   The draft international
standards[13-1^] for sound power determination simply  require that "the
absorption coefficient of the plane should be less than 0.06 over  the
frequency  range of  interest."  In the case of outdoor measurements, whether of
sound power level or of  sound pressure level at a specified location, it may
be difficult to ensure that the absorption is as low as desired.  At test
sites  for  measuring motor vehicle noise emission, very large differences have
been observed  between the acoustical absorption of sealed and unsealed
asphalt[llU],  The flatness of reflecting surfaces can also lead to
problems[115]. Statistically significant differences have been observed among
 results obtained  at various test sites[ll6].  While there has been progress in
 developing means  to correct for the effects of the reflecting plane( e.g.* see
 [T6-T8]),  much further work  is  needed.  At present it appears that dense
 concrete,  sealed  asphalt, or a  material at least equally  dense and free from
 porosities should be specified  for the  reflecting plane.

                          c.  Reverberant Environment

      The current national and international standards  for reverberation-room
 determinations of both broad-band[10,  29] and  pure-tone[11,  29] sources give
 specific room qualification procedures.

      In the case of broad-band sound,  determinations  of  the apparent sound
 power level of a reference sound source are carried out  for at  least eight
 different source locations.   In order for  the  room to be qualified,  the
 standard  deviations of this set of band power  levels  must not exceed the
 limits tabulated (as a function of frequency).

      In the case of sources containing discrete-frequency components,  two
 alternative qualification procedures are given.  In the first of these, an


                                     13U

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array of six microphone positions is used to estimate the spatial variance of
the mean-square pressure in the room while the device under test is emitting
noise.  This information is used to enter a table which gives the minimum
number of required microphone procedures.  Procedures are also given for
determining the minimum number of required source positions.

     The second qualification procedure for the measurement of discrete
frequency components involves measuring the frequency response of the
reverberation room.  This is done by measuring the space/time averaged sound
pressure level at each of a specified series of frequencies.  A loudspeaker,
excited by an oscillator, is used and adjustments are made for the frequency
response of the loudspeaker and measuring instrumentation.  The apparent
standard deviation of the frequency response over each frequency band must not
exceed a tabulated limit.

                               15.8.  Calibration

     A measurement standard should specify what calibration procedures are
required in conjunction with normal testing procedures and also what
calibration procedures are required (e.g., annually]  in order to ensure
proper functioning of all instrumentation.
                                   135

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                        16.  Calculation Procedures

   • The  measurement standard should clearly and unambiguously specify all
     calculation procedures  that are required in order to carry out
     measurements  in accordance with the standard.


                        16.1.  Correction for Background Noise

     Corrections for background noise were  discussed in Sections 12.3 and
15.6.  A measurement  standard should clearly indicate how much background
noise is permissible  and whether or not  corrections for background noise are
to be made.  If corrections are to be made, the standard should clearly spell
out the correction procedure to be used.

     Consider the following differences  in the approach to  background noise
corrections as taken in the current (draft and approved)  international
standards for sound power determination:

     Precision methods for anechoic and semi-anechoic rooms [lU]

          The background noise must be at least 6 dB below the measured sound
     pressure levels.  For background noise between 6 and 15 dB down, the cor-
     rections given in Table 3 (Section 12.3) are to be applied.   The
     corrections  are rounded to the nearest 0.1 dB.

     Precision  methods in reverberation rooms[10,11]

           Same  as above  except no  corrections are applied when the background
     noise is more than  10  dB down.  (This reflects the greater uncertainty in
     reverberation room measurements.)

     Engineering  methods for free-field conditions over a reflecting plane[13]

           For background noise that is  6 to 8 dB  down, a 1.0 dB correction is
      applied.   For background noise that  is 9 to  10 dB down, a 0.5  dB
      correction is applied.

      Engineering methods for special reverberation test rooms[12]

           For background noise  that  is  U  to  5 dB down, a  2 dB  correction  is
      applied.  For background noise  that  is  6 to 9 dB down, a  1  dB  correction
      is applied.

      Survey method (free-field conditions over a reflecting plane)[15]

           For background noise which is 3 dB down, a 3 dB correction is
      applied.  Otherwise, same as previous standard[l2].
                                     136

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      Many standards require  the "background noise  to be  at least 10  dB  down  and
 Permit no correction.

                          16.2.  Correction for Test Environment

      4 measurement standard  should clearly delineate what corrections, if any,
 are to be made for the influence of such factors  as:

      —   test room
           reflecting planes(s)
           temperature and barometric pressure
           wind

                        16.3.  Determination of Mean-Square Pressure

      A measurement standard should specify how individual determinations of
 sound pressure level are to be combined in order to obtain the appropriate
 average value for the mean-square pressure or the sound pressure level.  This
 involves both time and spatial averaging.

      Some standards permit averaging of levels, rather than of mean-square
 pressure, when the range of levels is not too large.   If such is the case, the
 allowable range should be indicated.

                           16.4.  Calculation of Sound Power

     A measurement standard should present  explicit equations for calculating
 sound  power  level for  the measured data.

                           16.5. Calculation of Noise Rating

     If the  final data (sound pressure  level  or sound  power  level  as a
 function  of  frequency)  are to be used to  compute a single-figure rating that
 is intended  to  correlate  with subjective  response, the computation procedure
 should be clearly and  unambiguously given.  For example, a procedure which
 involves  application of a "pure tone penalty"  should specify quantitatively
 how the presence  and magnitude of the pure  tone is to be determined.

     If other documents are to  be referenced,  the  particular issues  and
 relevant  portions  of those documents should be indicated.

                      16.6. Calculation of Measurement Uncertainty

     "Examination of noise literature reveals  a general  absence of estimates
of uncertainties associated with measurement or predictive procedures or with
actual measured data.  Even when such estimates are given, they frequently are
ambiguous or inadequate.

     "In noise control engineering, there has been little opportunity for
                                   137

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direct comparison of data obtained by different investigators  on nominally
identical specimens.  Thus, there have been few direct indications  of
experimental error.  Furthermore, in view of the vagaries of human  response,
it has been probably justifiable to take the attitude that a "few decibels"
are not of much consequence.  Perhaps for these reasons,  the use of
uncertainty estimates has not evolved in noise control engineering.

     "The emergence of many new and pending noise regulations  has changed this
situation drastically.  Enforcement of these regulations  requires
manufacturers, independent laboratories, and regulatory agencies to conduct
measurement on similar specimens.  The requirement that all of them obtain
essentially the same answer creates a strong need for realistic, reliable
estimates of measurement uncertainty throughout the field of noise  control
engineering.  Measurement uncertainties must be known not only to enforce
equitably noise regulations but also to enable rational selection of
economical noise control solutions and to enable reliable monitoring of the
noise  environment."[117]

      Although little work has been done in the past  toward assessment  of the
uncertainty (see Appendix C for a discussion) of noise measurements,  efforts
should be made in future  measurement standards to incorporate  specific  calcu-
lation procedures for estimating the uncertainty of the final  number  emerging
from a noise measurement  procedure.
                                     138

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                         17.  Information to Be Recorded

            The measurement standard should require the following essential
       items to be recorded:

          • The size,  dimensions,  design characteristics and noise
            performance claims for the source under test.

          • The location, mounting and/or installation details of the source,

          • The operational and loading characteristics of the source during
            the test.

          • A  description of the acoustic environment including test
            facility*  background noise levels and environmental conditions,

          • Identification  of instrumentation utilized.

          • Documentation of unavoidable deviations from the prescribed  test
            procedures.

          • A  maintenance and calibration record to indicate the current
            calibration status of  all  instrumentation.   Calibration methods
            and periodicity,  accuracy  and traceability  of the calibration
            devices need to be detailed.

          • All significant data collected during the test.

          • Documentation of calculation procedures utilized in  transforming
            the raij) data into its  final form.

          • An indication of the accuracy and precision of the data.

                             17.1.  Sound Source Under Test

      A complete description of the test specimen  should "he  recorded.  This
should include:

      (l)  Size and dimensions  of specimen

      (2)  Detailed design and  construction characteristics

      (3)  Expected performance requirements (manufacturer's claims)!.

                        17.2. Sound Source Installation Details

      A detailed description or a photograph of the noise source as it is
normally installed for use should be included.  Following this, a
description should he given of:
                                    139

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     (l)   Location of source

     (2)   How source is  mounted

     (3)   Installation of source

Insofar as possible, the test installation should "be representative of normal
use conditions.

                        17.3. Sound Source Operating Procedures

     The information to "be included under sound source operating procedures
is:

     (l)  Auxiliary equipment used to power the source (if any)

     {2}  How  the  source was operated during the test

     (3)  What loading, if any, was applied during the test.

     A copy  of the operating instructions  for the noise source should be made
part of the  record.

                              17.4.  Acoustic Environment

     Information on the acoustic  environment  should include  a detailed des-
 cription of  the  test facility  or  site, the nature and levels of  any background
 noise, and temperature, humidity, barometric  pressure and wind conditions (as
 pertinent).

                                17.5.  Instrumentation

      A complete list of the instrumentation utilized when conducting the tests
 should be recorded, including the following:

       (l)  Name of instrument

       (2)  Manufacturer

       (3)  Model Number

       (U)  Serial  Number

  In addition,  for  each  sophisticated test  device there should b.e a schematic,
  parts list, technical  description of operation,  a  complete  accuracy statement
  (absolute error,  repeatability,  effect  of environmental  and operational
  factors, etc.),  and &  maintenance and calibration  schedule  (note that, for
  purchased equipment, most  or  all of this  information may be supplied by the
  manufacturer or vendor).   The information noted above should be readily
  available on request.
                                      1UO

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                          17.6.  Special Measurement Procedures

      Any deviations  from the  standard method of test, or any additional tests
 which are conducted  should lie carefully recorded.

                               17.7.  Calibration History

      For each instrument  a fully implemented calibration procedure should
 prescribe the method and  periodicity of calibration and the accuracy and
 traceability of calibration devices  used.  All instruments  should be assigned
 an exclusive identification number and complete records maintained to indicate
 current calibration  status at all times.  On key instrumentation, labels
 should be affixed to indicate status  and next required calibration.   In
 addition, the calibration procedures  utilized before and after each test
 should be detailed, and the results of test  environment qualification checks
 should be referenced.

                       17.8. Acoustical Data and Related Information

      All significant data collected during the tests should be recorded.
 Also, variable settings on the equipment which have an influence  on  the data
 should be noted (for example, gain setting on  a measuring amplifier,  voltage
 and  speed settings on recorders, etc.).

                           17.9.  Special Calculation Procedures

      If any  special procedures are used to convert the data to some other
 measure  (for example, converting sound pressure level readings to sound power,
 voltage  readings to sound pressure level readings), these should be
 documented.

                            17.10 Measurement Uncertainty


      An indication of the measurement uncertainty  should be calculated
from the data (see Appendix C).

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                        18. Information to Be Reported

         The measurement standard should require that the following essential
    items ~be reported:

       • A complete description of the product tested.

       • A detailed description of (1) the acoustic environment in which the
         tests are carried out and (2) how the device is operated under test.
         Detailed diagrams should be utilized where appropriate.

       • When unavoidable deviations from the prescribed measurement pro-
         cedures are necessary> a description of the  substituted procedures
         and a justification for the modification.

       • A  tabulation  of the acoustical  data  in its final form plus  the
         notation  of any factor which  is thought to have influenced  the data.

       • A  statement of measurement uncertainty including  (1)  the  degree  of
          confidence placed on  the measurement results and (2)  an indication
          of the representativeness of the sample tested.


     Not every test report  would include exactly the same information.  To
make it a requirement that each test  report contain information on X number of
attributes would not only "be wasteful and unnecessary, "but also detrimental to
the whole testing process.   In general, however, there are five areas where
information should always appear in a test report  — these are briefly
described "below.

                            18.1. Identification of Source

     The test report should contain a  complete  description of the product
which was tested.  Information to "be included would "be the manufacturer's  name
and address, model and serial numbers  of the product, a description  (.and  if
appropriate, a diagram)  of the appearance of the device, its conventional
operating characteristics,  and the performance  claims of the manufacturer
which  relate to  noise.

                     18.2. Source Installation and Operating Procedure

      A detailed description, witn diagrams where appropriate,  of the acoustic
 environment in which the tests  are carried out  should "be included  in the-
 report.   As part of this description,  the location of the sound source in the
 test environment,  its  mounting configuration, and  its spatial relationship to
 the measuring system should be discussed.   A description of how the device is
 operated under test is an essential part of the report.   If the device is
 operated in any manner other than its conventional operating mode, this

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 operating procedure should be completely described.

                   18.3. Deviations from Standard Measurement Procedures

      When there are no deviations from the standard measurement procedure,  it
 is sufficient in the test report to merely cite the measurement procedure
 employed.  If there are deviations from the measurement procedure,  the
 following information should be included in the test report:

      (l)  The section(s) of the standard test method vhich has  (have)
           been deviated from.

      (2)  A complete description of the method and procedures which have
          been substituted.

      (3)  A convincing Justification of why the standard measurement
           method was not followed.

      (M  An estimate of the uncertainty due to deviations  from standard
           measurement procedures.

                    18.4. Acoustical Data and Related Information

     A tabulation of the  acoustical data in its  final form  (that is, if any
 conversion factors have been applied  to  the  original data)  should appear in
 the test report.   If there are any factors,  such as relative humidity,
 barometric  pressure, wind speed and temperature, which the investigator
 Believes  may have influenced the data, these should be accounted for in the
 test report.

                         18.5. Measurement Uncertainty

     The  section  on measurement uncertainty  should include two parts.   First,
 there should be some indicator of the degree of confidence which can be
Placed in the measurement results.  This could be expressed in terms of
 standard  error, confidence limits, or some other appropriate statistical
 factor.  Secondly, there should be some statement that indicates how
 confident the testing laboratory is that the sample it has chosen and tested
!s representative of the product line.  Again, this should be stated
statistically.  If a number of supposedly identical products were tested, the
standard error and the range should be reported and an attempt made  to
estimate how much of the variance is due to sample differences and how much
to measurement uncertainties.

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                             References for Part II

[l]   The International System of Units (Si), NBS Special Publication 330,
     19TU Edition.

[2]   Some References on Metric Information, NBS Special Publication 389
     (1973).

[3]  Mechtly, E. A., The  International System of Units — Physical Constants
     and Conversion Factors (Revised), NASA SP-7.012  (National Aeronautics and
     Space Administration, Washington, D.  C., 19705.

[k]  Lang, W. W., and Flynn, D.  R. , A Noise Emission Number for product
     designation, Noise Control Engineering^,  108-113  (1975); errata  in NCE
     i,  3 (1975).

 [5]  Hubner, G., Analysis of errors in measuring machine noise under
     free-field conditions, J. Acoust.  Soc. Amer. 5U,  967-977 (1973).

 [6]  Hubner, G., and Meurers, H., Investigations of sound propagation over
     non-ideal  reflecting planes and the influence of the measurement
     distance on the accuracy of sound power determination of sound sources
     operating  outdoors,  Proceedings of Le Bruit des Machines et
     LrEnvironment, Premier Congres Europeen d'Acoustique, F.A.S.E. 75» PP"
      559-567 (Paris, 1975).

 [7]  Holmer, C. I., Procedures  for Estimating Sound Power from Measurements
      of Sound Pressure:   An Experimental  Investigation with Application to
      Noise from Portable Air Compressors,  NBSIR 75-652, EPA-550/8-76-001
      (National Bureau of Standards, July,  1975).  Available  from the  National
      Technical Information Service, Springfield, 7a. 22151,  as Accession  No.
      COM-75-11399.

  [8]  American  National Standard Methods for the Measurement  of  Sound Pressure
      Levels, SI.13-1971  (American Rational Standards  Institute, New York,
      1971).

  [9] Acoustics — Determination of Sound Power Levels of Noise  Sources —
       Guidelines for the  Use of Basic International Standards and for the
       Preparation  of Noise  Test Codes, Draft International Standard ISO/DIS
       37^0  (international Organization for Standardization, Geneva, 1975)*

  [10]  Acoustics — Determination of Sound Power Levels of Noise Sources —
       Precision Methods  for Broad-Band Sources  in Reverberation Rooms,
       International Standard ISO/37^1  (international Organization for
       Standardization,  Geneva,  1975).

  [11] Acoustics — Determination of Sound Power Levels  of Noise Sources —
       Precision Methods for Discrete-Frequency and Narrow-Band Sources  in
       Reverberation Rooms, International Standard 130/37^2  (international
        Organization  for Standardization, Geneva, 1975).

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[12] Acoustics — Determination of Sound Power Levels of Noise Sources —
     Engineering Methods for Reverberation Rooms, Draft International
     Standard ISO/DIS 3743 (international Organization for Standardization,
     Geneva, 1975).

[13] Acoustics — Determination of Sound Power Levels of Noise Sources ~
     Engineering Methods for Free-Field Conditions over a Reflecting Plane,
     Draft International Standard ISO/DIS 37^ ( International Organization
     for Standardization, Geneva, 1975).

     ISO 3745, Acoustics ~ Determination of Sound Power Levels of Noise
     Sources — Precision Methods for Anechoic and Semi-Anechoic Rooms, Draft
     International Standard ISO/DIS 3745  (international Organisation for
     Standardization, Geneva, 1975).

[15] Acoustics ~ Determination of Sound  Power Levels of Noise Sources —
     Survey Method, Draft International Standard ISO/DIS 3746 (international
     Organization for Standardization,  Geneva, 1975).

[16] Delany, M. E., and Bazley, E.  N. ,  Monopole  radiation in the presence of
     an absorbing plane, J.  Sound Vib.  13,  269-279 (.1970).

[17] Van Moorhem, W. K., Reflection of  a  spherical wave from a plane surface,
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[18] Beranek, L.  L., and Sleeper, H.  P.,  The design and construction of
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[19] Meyer, E., Kurtze, G.,  Severin,  E, ,  and Tanm, K. , Ein neuer grosser
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[20] Ingerslev, F., Pedersen, 0.  J. ,  Moller,  P.K., and Kristensen, J., New
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[21] Diestel, H.G., Messung  des mittleren Reflexionsfaktors der
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     (1968).

fe2] Delany, M. E., and Bazley,  E.  N.,  A  note on the sound field due to a
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[23] Parkin, P. H., and Stacy,  E. F. , The anechoic and reverberant rooms at
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                                    145

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[25]    Koidan, W., Hruska, G. R., and Pickett, M. A., Wedge design for National
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[26]    Bell,  E. C.,  Hulley, L. N., and Mazunder, N. C., The steady-state
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[27]    Standard Method of Test for Impedance and Absorption of Acoustical
       Materials  "by the Tube Method, C381;-58  (1972), pp 115-126, Part l8, 1975
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[28]   Beranek, L. L., Acoustics (McGraw-Hill Book Company, New York, 1951*) •

[29]   American National Standard Methods  for the Determination of Sound Power
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[30]   Morse, P. M., and Bolt,  R. H.,  Sound waves  in rooms. Rev. Mod. Phys.
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[31]   Morse, P. M., Vibration and Sound,  Second Edition (McGraw-Hill Book
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[32]   Morse, P.M., and Ingard, K.  U., Theoretical Acoustics  (McGraw-Hill Book
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 [33]   Beranek, L.  L., Noise and Vibration Control (McGraw-Hill Book Company,
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 [3U]   Kuttruff,  H., Room Acoustics (John Wiley & Sons,  New York, 1973).

 [35]   Crocker, M.  J., and Price, A. J., Noise and Noise Control, Vol.  I CCBC
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        1915/«

 [37]    American  National Standard Specification for Sound Level Meters,
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 [38]    Standard Values of Atmospheric Absorption as a Function of Temperature
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 [39]   Sutherland, L. C., Review of Experimental Data in  Support  of  a Proposed
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        Washington, D.C. 20590, May, 1975).                   «"«««  »
                                      1U6

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        American National Standard Specifications for Laboratory Standard
        Microphones, SI. 12-1967 (American National Standards Institute, New
        York, 1967}.

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        American National Standard Specification for Octave, Half -Octave,  and
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        Magrab,  E.  B.,  and Blomquist, D. S., The Measurement of Time-Varying
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        Bendat,  J.  S.,  and Pier sol, A. G., Random Data:  Analysis and
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        Donovan,  J., and Ketcham, T., Transportation noise — Its measurement
        and evaluation, Sound and Vibration £( 10 ), h-8 (October  1973).

        Olesen, H. P., and Zaveri, K. , Measurements of averaging times  of Level
       Recorders Types 2305 and 2307, Bruel and KJaer Technical Review No. 1 -
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[51]   Standard Methods for Testing for Sound Rating Heating, Refrigerating,
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       Heating, Refrigerating and Air-Conditioning, New  York, 1972).

[52]   CAGI-PNEUROP Test Code for the Measurement of Sound from Pneumatic
       Equipment (also American National  Standard S5.l)  (Compressed Air and Gas
       Institute,  New York, 1969).

t53]   Exterior Sound Level for .Heavy Trucks  and  Buses,  SAE J366b (Society of
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      Skudrzyk, E. , The Foundations of Acoustics:  Basic Mathematics and
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[55]   Olson, H. F., System Responsive to the Energy Flov in Sound Waves,
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[56]   Clapp, C. W. , and Firestone, F. A., An acoustic vattmeter, an
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[58]  Schultz, T. J.,  Acoustic wattmeter,  J. Acoust. Soc. Amer. 28, 693-699
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[59]  Kurze, U. , Zur Entwicklung eines  Gerates  fur  komplexe
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                                      148

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[76]   Moore, C/ J.,  A solution to the problem  of  measuring the ^ sound field of
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[76]   Miles, J. E.,  Analysis of Ground Reflection of Jet Noise Obtained with
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       Cook,  R.  K., Waterhouse, R. V., Berendt, R. D., Edel^an, S.,  and
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                                   149

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[83] Waterhouse, R. V., Statistical properties of reverberant sound fields,
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[8U] Lubman,  D. , Fluctuations of sound with position in a reverberant room,
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[85]  Schroeder, M.  R.,  The effect of  frequency and space averaging on the
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[86]  Lubman,  D.,  Spatial  averaging  in a diffuse sound  field, J. Acoust.  Soc
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[87] Schroeder, M. R.,  Spatial  averaging in a diffuse  sound field and the
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 [9ll Waterhouse, R, V.,  and  Lubman, D. , Discrete versus continuous space
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      (1970).                                                       —

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                                               in a
  [95] Tichy, J   The measurement of sound power in a reverberation  chamber  at
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  [96] Lubman, D. , Waterhouse, R. V., and Chien, C., Effectiveness of
[97]  Haling,  G.  C., Jr., Guidelines for determination of the average sound
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       Acoust.  Soc. Amer. .53_, 106U-1069 (1973).

                                       150

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                                                                            •ion
L98]    Ebbing,  C.  E.,  and Maling,  G.  C., Jr., Reverberation-room qual if i cat ~«
       for  determination of sound  pover of sources of discrete-frequency sound,
       J. Acoust.   Soc.  Amer. 2±,  935-9^9 (1973).
  [99]   Tichy, J., and Baade, P. K. , Effect of rotating diffusers and sampling
        techniques on sound-pressure averaging in reverberation rooms, J.
        Acoust.  Soc. Amer. ^6, 137-1^3 (197*0.

  [100]  Lubman, D. , Precision of reverberant sound power measurements, J.
        Acoust.  Soc. Amer. £&, 523-533 (197*0.

  [101]  Lubman, D. , and Associates, Review of Reverberant Sound Power  Measurement
        Standard and Recommendations for Further Research,  NBS  Tech. Note 8^1
        (National Bureau of Standards, Washington, D.  C., 197*0-

 [102]  Dodd, G., Steady state room transmission response parameters — their
        distributions and relationships, and implications of these
        relationships, J. Sound Vib . 36 , bj3-k83 (197*0.

 [103]  Chien,  C., Waterhouse, R.,  and Lubman,  D., Spherical averaging in a
        diffuse sound field,  J.  Acoust. Soc.  Amer.  57 » 972-975  (1975).

 [10*0  Waterhouse, R. V.,  Power output of a  point source exciting a single
        Cartesian mode, J.  Acoust.  Soc. Amer. ]f£,  9-l6 (1971).

 [105]  Dodd, S.  D.,  and  Doak, P.E., Some aspects  of the theory of diffusion and
        diffusers, J.  Sound Vib. 16, 89-98 (1971 ).

 [106]   Ebbing, C. E., Experimental evaluation of moving sound diffusers for
        reverberant rooms,  J. Sound Vib. 16, 99-118 C19.71).

 [107]   Lubman, D. , Distribution of reverberant sound in large rooms,  J. Acoust.
        Soc. Amer. 3£, 1266 (A) (1966).

 [108]   Tichy, J., The effect of rotating vanes on the sound field in  rever-
       beration chambers, J. Acoust. Soc. Amer. _*£, 82U) U-97D.

       Tichy, J., The effect of boundary conditions on the statistical
       properties of the sound field in enclosures, J. Acoust.  Soc. Amer. £0,
       98(A) (1971).

       Lubman, D., Guidelines for the design of rotating diffusers, J. Acoust.
       Soc. Amer. £2, U1*7-U*8(A) (197*0.

       Peterson,  A. P. G. ,  Device noise and  background noise from a statistical
       point of view, Noise Control Engineering J£, 76-83 (1975 J-

[H2]  Diehl,  G.  M.,  Machinery Acoustics (John  Wiley & Sons, New York, 1973).

[H3]  Diehl,  G.  M.,  Sound  power measurements on large machinery installed
       indoors, Compressed  Air Magazine I£, 8-12  (January 1974).
                                    151

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      Leasure, W. A., Jr., and Quindry, T. L., Methodology and Supporting
      Documentation for the Measurement of Noise from Medium and Heavy Trucks,
      NBSIR  7^-517 (National Bureau of Standards, Washington, D. C., 197M •

[115]  Bettis, R. A., and Sexton, M. Z., The effect of test site topography in
      vehicle noise measurement, J. Acoust. Soc. Amer. 5U, 332(A) (1973).

[116]  Sheth, N. J., and Gegesky, P. S., The influence of test site on exterior
      vehicle noise measurements, SAE Paper Wo. 7^0967, presented at
      Automobile Engineering Meeting, Toronto, Canada (Society of Automotive
      Engineers, Warrendale, Pa., 197*0-

[117]  Flynn, D. R., Accuracy and precision (an editorial), Noise Control
      Engineering 3., 2  (197*0.
                                     152

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   PART III    SELECTION OF MEASUREMENT METHODOLOGY

              APPROPRIATE TO A SPECIFIC PRODUCT

     This part of the report consists of a series of  flow charts which
depict  the development of appropriate procedures for  measuring the
noise emission of particular classes of products. These charts are
intended to serve as reminders and check lists of the factors which
are discussed in detail in Parts I and II.

     Figure 35 shows the overall development of appropriate test
procedures.  The 'five boxes shown with heavy borders  are expanded
in Figures 36-UO.
                           153

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 APPROPRIATE
 CLASSIFICATION
 SCHEME
   OPERATIONAL MODES
   INDICATIVE OF
   PRODUCT USAGE
                           I
                      QUANTITY TO BE
                      MEASURED
 APPROPRIATE
 INSTALLATION
 AND OPERATION
 OF SOURCE
  APPROPRIATE
  MEASUREMENT
  LOCATIONS
   CONSENSUS
   STANDARDS
   AVAILABILITY
   OF
   EQUIPMENT
   AVAILABILITY
   OF
   FACILITIES
     PHYSICAL
     MEASUREMENT
     CONSIDERATIONS
      CONSTRAINTS
             c
 NOISE
 EFFECTS
 DATA
APPROPRIATE
TEST
ENVIRONMENT
CRITERIA
                         APPROPRIATE
                         INSTRUMENTATION
                         SPECIFICATIONS
                          ACCURACY AND
                          PRECISION
                          REQUIREMENTS
 AVAILABILITY
 OF TRAINED
 MANPOWER
                             TOTAL
                             ECONOMIC
                             BURDEN
APPROPRIATE TEST PROCEDURE
Figure 35-   Development of appropriate test procedure.

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                     DOES A CLASSIFICATION
                     SYSTEM EXIST
                     FOR THE PRODUCT
                     IN QUESTION?
                     NO
I
YES
                             DOES EXISTING SYSTEM LEND
                             ITSELF TO ACCEPTANCE AS A
                             CATEGORIZATION WITH NOISE
                             AS THE ITEM OF CONCERN?
                                NO
        DEVELOP A CLASSIFICATION
        SCHEME APPROPRIATE
        FOR PRODUCT NOISE EMISSION
                   I
  YES
                 DEFINE THE LEVEL OF DETAIL
                 THAT MUST BE REACHED BEFORE
                 A MEASUREMENT PROCEDURE
                 CAN BE UNIVERSALLY APPLIED
                             i
                       APPROPRIATE
                       CLASSIFICATION
                       SCHEME
Figure 36.   Development of appropriate classification scheme.
                              155

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APPROPRIATE
CLASSIFICATION
SCHEME
CONTROL OF
PRODUCT
OPERATION
(E.G., OPERATOR
OR AUTOMATIC)
         1
     i
SOURCE
MOBILITY
(STATIONARY
OR MOBILE)
NOISE
EFFECTS
DATA
    1
             DO USAGE DATA EXIST WHICH ESTABLISH THE
             "NORMAL OPERATION" OF THE PRODUCT?
                     I
            DEVELOP THE NECESSARY
            DATA BASE THROUGH
            THE CONDUCT OF A
            USAGE SURVEY
                        YES
     OBTAIN A DATA BASE THAT CORRELATES THE PRODUCT NOISE
     OVER THE RANGE OF OPERATIONAL MODES, WITH THE EXPOSURE
                      OPERATIONAL MODES
                      INDICATIVE OF
                      PRODUCT USAGE
Figure 37.   Identification of operational modes indicative of product
           usage.
                             156

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          WHO IS AFFECTED?
       OPERATOR
       PASSENGER
      BYSTANDER
       NEIGHBOR
WHAT ARE THE EFFECTS?
         HEARING DAMAGE
         COMMUNICATION
         INTERFERENCE
           ANNOYANCE
           COMPLAINTS
                         EXTENT OF
                         NOISE EXPOSURE
                            NOISE
                            EFFECTS
                            DATA
'Figure 38.  Collection of noise effects data.
                             157

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             c
    QUANTITY TO BE MEASURED
WHO IS
AFFECTED?

*

FREQUENCY
RANGE OF
INTEREST
*

t
SIZE OF
SOURCE
*

MOBILITY
OF SOURCE
+
IS TOTAL NOISE EMISSION DESIRED?
         i
YES
    IS SOURCE
    DIRECTIONAL?
i
NO
                        NOISE IN PARTICULAR
                        DIRECTION OR LOCATION
                     APPROPRIATE TEST
                     ENVIRONMENT
                     CRITERIA
                            i
              NUMBER AND DEPLOYMENT OF
              MICROPHONE LOCATIONS
              SOURCE-TO-MICROPHONE DISTANCES(S)
              MICROPHONE HEIGHT(S)
                            i
                       APPROPRIATE
                       MEASUREMENT
                       LOCATIONS
Figure 39.  Selection of appropriate measurement locations,
                             158

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                 OPERATIONAL MODES
                 INDICATIVE OF
                 PRODUCT USAGE
               C
                        i
                          QUANTITY TO
                          BE MEASURED
PRODUCT
CHARACTERISTICS
(PHYSICAL SIZE,
MASS AND ENERGY
INPUT/OUTPUT)
                        ,
                                          TYPICAL USE
                                          LOCATION
                                          (OUT-OF-DOORS,
                                          INDOORS)
      1
                                               i
                      WOULD DATA TAKEN INDOORS
                      ALLOW FOR PREDICTION OF
                      NOISE LEVELS IN ACTUAL USE?
                               i
YES
       CAN TESTS BE PERFORMED INDOORS?
                     YES
       i
                                           NO
NO
   LABORATORY

                             IN-SITU
         OUTDOOR SITE
FACILITY
REQUIRE-
MENTS

EFFECT OF
INSTALLA-
TION

SITE
REQUIRE-
MENTS

EFFECT OF
WEATHER


                                             i
      APPROPRIATE TEST ENVIRONMENT CRITERIA
Figure
   Selection of appropriate test environment criteria.
                     159

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                                Appendix A.

          List of Participants at Government/Industry Meetings on Noise

           Measurement Methodology for the Environmental Protection

                     Agency's Noise Emission Regulations
Meet''ng
Representatives  of
the Assn. of Home
Appliance Manufacturers
(AHAM)
Representatives of
the American Road
Builders Assn.  (AREA),
the Construction
Industry Manufacturers
Assn. (CIMA), and
contractors
    Date

July 7, 1972
Representative of
the General Services
Administration (GSA),
Public Building
Services

Representative of
the Acoustical and
Insulating Materials
Assn.  (AIMA)

Representatives of
the U, S. Postal
Service  (P, 0.)
July 20, 1972
November 13, 1972
November 29, 1972
 December U, 1972
    P ar t icop ant s

D. Flynn (NBS)
W. Leasure, Jr. (KBS)
R. Musa (Westinghouse)
H. Phillips (AHAM)
J. Wfdzeorick (AHAM)

J. Benson (CIMA)
J. Codell III (Codell
  Construction Co.)
R. Crowe (ARBA)
G. Diehl (ingersoll-
  Rand)
D. Flynn (NBS)
W. Land (Contractor)
H. Larmore  (CIMA)
W. Leasure, Jr. ( NBS)
B. Miller (AREA)
J. Oman (Oman
  Construction Co.)
D. Powlson  (Tennessee
  Road Builders)

W. Leasure, Jr.  (NBS)
R, Rice (GSA)
A. Rubin (NBS)
 D. Flynn  (NBS)
 R. LaCosse ( AIMA)
 W. Leasure, Jr. (NBS)
    Cornog  (P. 0.)
    Flohr (P. 0.)
    Hull  (P. 0.)
    Leasure, Jr.  (NBS)
D.
R.
¥.
¥.
A. Rubin (NBS)
                                   160

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Representatives of
the Dept. of Trans-
portation (DOT),
locomotive manufac-
turers, the Assn. of
American Railroads
(AAR), and the
American Short Line
Railroad Assn. (ASLRA)
December 5, 1972
Representatives of
the Air Conditioning
and Refrigeration
Institute (ARI)
Representatives of
the National Elec-
trical Manufacturers
Assn. (NEMA)
Representatives of
the International
Snowmobile Industry
Assn. (ISIA) and the
Society of Automotive
Engineers Motorized
Snow Vehicle Sub-
committee
December 6, 1972
December 7, 1972
December 7, 1972
P. Baker (General
  Electric)
D. Bray (DOT/FRA)
W. Close (DOT/ONA)
J. Coxey (AAR)
H. Croft (ASLRA)
D. Flynn (NBS)
K. Hawthorne (AAR)
W. Leasure, Jr. (NBS)
R. Lucas (DOT/FRA)
R. Pribramsky (General
  Motors)
A. Rubin (NBS)
J. Wesler (DOT/ONA)

W. Bayless (Borg-
  Warner)
R. Kelto (Air Temp.)
W. Leasure, Jr. (MBS)
A. Meling (ARI)
A. Rubin (NBS)
J. Schreiner (Carrier)

W. Leasure, Jr. (NBS)
H. Michener (NEMA)
R. Nims (NEMA)
R. O'Brien (NEMA)
A. Rubin (NBS)
J. Werner (NEMA)

J. Arbuckle (ISIA)
R. Croteau (Bombadier
  Ltd.)
J. Giesen (Deere &
  Co.)
G. Gowing (Bombadier
  Ltd.)
L. Haas (Scorpion,
  Inc.)
W. Leasure, Jr. (NBS)
J. Nesbitt (ISIA)
A. Rubin (NBS)
J. Spechko (Outboard
  Marine Corporation)
                                   161

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Representatives of
the Engine Manu-
facturers Assn.
(EMA) and the Society
of Automotive Engineers
(SAE)
December 8, 1972
Representatives of
the American Trucking
Assns. ( ATA)
December 12, 1972
Representatives of
the Motor Vehicle
Manufacturers Assn.
(MVMA)
December 20, 1972
R. Canfield (American
  Motors)
J. Crowley (Case)
W. Hamilton (Allis
  Chalmers)
T. Hutton (EMA)
J. Jensen (John Deere)
J. Johnson (Caterpillar)
D. Kabele (SAE)
R. law (Detroit
  Diesel Allison)
W. Leasure, Jr. (NBS)
C. Leber (Caterpillar)
R. Lincoln (Outboard
  Marine)
J. McWally (Caterpillar)
J. Nadolny (Teledyne
  Wisconsin)
A. Rubin (NBS)
C. Salter (EMA)
R. Staadt (inter-
  national Harvester)
D. Stephenson (Out-
  board Marine)
T. Wu (international
  Harvester)
T. Young (EMA)

W. Gibson (ATA)
L. Kibbee (ATA)
W. Leasure, Jr. (UBS)
A. Rubin (UBS)
R. Tilley (Safeway
  Stores)

L. Bridenstine  (MVMA)
J. Damian  (Ford)
T. Dolan (General
  Motors)
F. Kishline (American
  Motors)
W. Leasure, Jr. (NBS)
R. Ratering (General
  Motors)
A. .Rubin (NBS)
R. Staadt (inter-
  national Harvester)
R. Vievig  (MVMA)
R. Wasko (MVMA)
                                   162

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                                 Appendix B.

                Pertinent Sections of the Noise Control Act of 1972

      For  the "benefit  of those readers not familiar with the Noise Control
 Act  of 1972, Public Lav 92-5?U, the following summary of pertinent sections
 of the Act  is  presented.

        NOISE EMISSION STANDARDS FOR PRODUCTS DISTRIBUTED IN COMMERCE

 Sec. 6.    EPA is given authority to prescribe and amend standards limit-
            ing noise  generation characteristics for any product or class
            of  products which has been identified as a major source of
            noise and which falls in the following categories:   construc-
            tion equipment, transportation equipment (including recreational
            vehicles), any motor or engine,  and electrical or electronic
            equipment.  EPA may issue regulations for products  in other
            categories if it is necessary to protect the public health or
            welfare.   The standards must  be  "	based on criteria pub-
            lished under Section 5»" and  "requisite to protect  the public
            health and welfare, taking into  account the magnitude and con-
            ditions of use  of such product (alone or in combination with
            other noise sources), the degree of noise  reduction achievable
            through application of the best available  technology,  and
            the  cost  of compliance.11

            The  manufacturer of regulated products  must warrant that  its
            product is  designed and built so as to  conform at the time of
            sale with such  regulation.  The cost  of this warranty cannot
            be passed on by the manufacturer.  States  and political sub-
            divisions are prohibited from setting noise emission levels
            different from  those  promulgated by EPA, but remain able to
            regulate use, operation or movement of  products.

                                 LABELING

Sec.  8.    For  any product which  (a) emits noise capable of adversely
           affecting the public health or welfare, or (b) is sold wholly
           or in part  on the basis of its effectiveness in reducing
           noise, the EPA must require the manufacturer of such product
           to give notice of the noise level or its effectiveness in re-
           ducing noise to the consumer.   EPA's regulations must indicate
           the  form of such notice and the method and unit of measurement
           must be prescribed.

                     RAILROAD NOISE EMISSION STANDARDS

Sec.  17    After consultation with the Department of Transportation,
           EPA is required to promulgate  regulations for surface car-
           riers engaged in interstate commerce,  including  regulations
                                   163

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          governing noise emission from the operation of equipment
          and facilities of such carriers.  The effective date for such
          regulations must permit the development and application of
          the requisite technology.  The Secretary of Transportation
          is charged with the responsibility of assuring compliance
          with EPA's regulations.  State and local governments are pro-
          hibited from establishing operational noise emission limits
          different from applicable federal standards, "but the Adminis-
          trator may allow a different standard if he determines in con-
          sultation with the Secretary of Transportation that local con-
          ditions necessitate such different regulations.

                  MOTOR CARRIER NOISE EMISSION  STANDARDS

Sec. 18   The provisions  of this section are nearly  identical to  Sec.  16
           except that they apply to "a  common  carrier by motor vehicle,
           a contract  carrier by  motor vehicle, and a private carrier  of
           property by motor vehicle as  those terms are  defined in the
           Interstate Commerce  Act (H9 U.S.C.  303(a))."

                DEVELOPMENT OF  LOW-NOISE EMISSION PRODUCTS

Sec. 15    Provides for Federal procurement of and public notice  about
           products certified as "low-noise-emission  products" (defined
           as:   any product which emits  noise in amounts significantly
           below the levels specified in noise emission standards under
           regulations applicable under Sec. 6 at the time  of procure-
           ment  to that type of product).  The Administrator is  allowed
           to establish a Low-Noise-Emission Product  Advisory Committee
           to assist him in determining which products qualify.   Once an
           application for certification is received and the product is
           determined to be a low-noise-emission product, the Administrator
           must  certify the product as such if he determines that the pro-
           duct  is a suitable substitute for a type of product at that
           time  in use by agencies of the Federal  government.  Various
            instructions as to when the Federal government is required to
           purchase such products  and when the EPA is required to pub-
            lish  information about  its determinations are given."

      In setting noise  emission  standards for products distributed in  commerce,
 the Environmental Protection Agency is  required (see Sec. 6  of Public Law 92-
 51 L  A ff       standards on criteria published under Sec. 5.   Section 5
 of the Act is summarized below:

            IDENTIFICATION OF MAJOR NOISE SOURCES, NOISE CRITERIA
                           AND CONTROL TECHNOLOGY

 Sec. 5     (1)  requires EPA to publish criteria which reflect the kind

            or w!ff^    a^ldeflfiatle eff€CtS °n the P*>lic  hea"*
            or welfare resulting from differing quantities  and qualities
                                     164

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of noise  (within 9 months); (2) requires EPA to publish infor-
mation on levels of environmental noise which in defined areas
under various conditions are requisite to protect the public
health and welfare with an adequate margin of safety (within
12 months); (3) requires EPA to publish a report identifying
major sources of noise, and giving information on techniques
for control of noise (within 18 months).
                       165

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                                  Appendix C.

                          Uncertainty of Measurement

      If quantitative  noise regulations are to be effective and equitable, it
is essential to have a good understanding of the uncertainties extant in the
associated measurements.   In legal proceedings this uncertainty represents the
"shadow of doubt" associated with  a measurement.  A clear statement of the
factors entering into  the uncertainty  computation and the data on vhich it is
based should be available for  "cross-examination."

      In a legal proceeding  \.and in regulatory operations generally) a
statement as to what measurement process  would be accepted as correct is a
necessity — otherwise regulation  would not be possible.  The uncertainty of a
measurement should therefore be stated in terms of the  results which would have
been obtained by the "accepted" process.  In the case of some standards,
reference to the unit  as maintained by the  National Bureau of Standards may be
appropriate.  In other cases,  results  by a  selected agency or by an average of
the measurement processes of several  organizations may  serve as a  reference.

      Two characteristics of measurements must be accounted  for.   First,  that
successive measurements of the same  quantity will.disagree,  and  second, that
the long-run average by two difference realizations of  the  same method of
measurement will differ.  One's model of a  measurement  process must therefore
be enlarged to  include both the variability and possible offset  of the process
from that which would be  accepted as correct.

      It is in  the  concept of a repetition of a measurement that the
uncertainty of  measurement can be given operational meaning.  Measurements can
be regarded as  arising from a process whose properties can be determined from
 an appropriate  sequence  of such repetitions.   It is only when one can attribute
 the properties  of the process to  the  isolated single measurement that a
 defendable statement  of  its uncertainty  can be made.   To be able to do this the
 process must have predictability, i.e., be in a state of statistical control at
 the  time of the measurement so  that the  use of the current values of the
 process parameters  is  valid.

 Limits for the Effects of Random  Error

       The crucial step in assessing the  effects of random error is that of
 defining the set of repetitions over  which the measurement is to  apply.  At the
 very minimum it would involve repetitions  with the same instrument-operator-
 procedure configuration. It  would include sampling variability when that is
 appropriate and include a number  of  components of variance such as those
 associated with day-to-day  differences,  operators, instruments, etc.

       All of these factors  which  enter into the random error calculation could,
 in principle, be varied in repeated  measurement so that their effects  could be
 mitigated by averaging over the set  of repetitions.  Those which  cannot  be so
 averaged out are regarded as systematic errors which account for  the  offset of
                                     166

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  one process relative to another.

        To assess the possible extent of random error of the quantity, y, where y
  is a specified function of random variables x,, x  .  , . x  and constants c.,
  Cp . .  . so that y = f (x^ Xg .  .  . x ,  c.^,  Cg .  . .), let us assume that a
  standard deviation, s , is available,,   This standard  deviation will, in
  general, involve many^components  of variance,  the  constants, c.., and will
  depend  on the functional form f().  To go from this standard deviation to a
  bound for the random error (e.g.,  three standard deviations) involves some
  arbitrariness both in the assumed nature of the probability distribution
  involved and the desired degree of  coverage.

  Offset  of Measurement  Process

       The offset  of one measurement process relative to another tor of a
  process  from that  accepted nationally) may arise from deficiencies in the
  mathematical model or  in realizations of the specified process.   To this one
  must add  systematic  error  in the prescribed standards, and the fact that the
  corrections  for environmental and other effects may not account  for all  the
  effects of such variables on the particular measurement process.

       The procedures for arriving at bounds  to the  possible offset of the
 process will involve direct measurement by introducing changes into the  process
 and observing the effect, the use of values  from critical experiments run on
 similar processes, and other similar techniques which  have in common the fact
 that they are based on observation (not judgement).

       In some cases it is possible to  determine the offset of a measurement
 process  by measuring a "control"  in the form of some reference meter or
 standard signal.  It is necessary that  the reference items be similar in all
 important respects to the items being measured, and that it be measured by the
 same procedures used in the regular workload.   When the bias correction is
 made, the process would be regarded as  being free from systematic errors from
 the source represented by the item.  The random error  in'the applied correction
 becomes  part of the random error of the process, of course.

 Control  of Measurement

      At some point in  time one will have values for the bound, R, to the
 effect of random error  and a bound, E,  for the possible offset of the process
 relative to nationally  accepted reference standards or measurement processes.
 These values  are  used to characterize the process and these properties can be
 applied  to individual measurements from the process if the process remains in a
 state of control.

      Some  evidence  is therefore needed to establish that  the process is  "in
 control."  Measurements in a reference item made periodically throughout  the
year are an example  of the type of redundancy needed to provide the assurance
 of consistency.  When coupled with an independent outside  check on the offset
 of the process, one has evidence of the validity of  the uncertainty statement.
                                 167

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      An out of control condition  signifies that predictability has been lost
and one should therefore redetennine  the process parameters to arrive at a nev
uncertainty statement.

Uncertainty

      The uncertainty of a reported value  could, in principle be  reduced to +E,
the offset or systematic error of  the process,  by  increasing the  number of
measurements to be made.  Any such increase in  the number of measurements would
not change the process average, of course. If  one or only a few  measurements
are made, then the uncertainty is  increased by  the random errors  so that the
uncertainty* of a measurement from a  process  in control is

                            uncertainty =  +.(E + R)
 *The modification for asymmetrical limits are obvious.
                                     168

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                                 Appendix D.

          Possible GATT Code of Conduct for Preventing Technical
                              Barriers for Trade

     The United States and other major trading nations through the General
Agreement on Tariffs and Trade5  have been investigating the international
trade problems arising from the  development of different regional, national,
and local product standards and  technical regulations and the various pro-
cedures for assuring conformity  with them[l].  Most of these standards
barriers are side effects of efforts to protect  the public welfare rather than
deliberate discrimination, and the GATT negotiators are trying to find a
solution that will not hamper the achievement of these objectives[2J.

     The following discussion on the GATT code of  conduct is reprinted from
the ASTM Standardisation Hevs with permission of the American Society for
Testing and Materials[l].

          "It was the recognition of the  problems  presented by standards and
     the inadequacy of the GATT  provisions for dealing with them that led the
     contracting parties to begin the development  of a standards code.
     Furthermore, the United States and other countries were becoming
     increasingly concerned about European plans to conclude regional
     standards arrangements on an exclusive basis.  In 1971 Working Group III
     of the Committee on Trade in Industrial Products began the drafting of
     such a code.  The working group agreed on certain hypotheses of which
     two should be noted.   One was that the solution developed should take
     the form of a binding code  subject to a reservation that the final
     product may be changed to a  voluntary code  or set of principles.
     Another was that the GATT should not  become involved in writing
     standards or certifying that  products  conform to standards.

          "The draft  GATT  standards  code which was developed deals  separately
     with the preparation,  adoption,  and use of mandatory standards  by
     central and local  government bodies;  the preparation of voluntary
     standards  by central  and local government bodies;  and the preparation  of
     standards  by voluntary  standards bodies.   In each case  standards  are to
     be  formulated and  applied so as not to afford protection to domestic
     production,  and they are to be based upon 'appropriate1  international
     standards.   There  shall be active participation in international
     standards  organizations.  Wherever appropriate, standards are to be
     specified  in terms of performance rather  than  design.  Proposed
     standards  not based on international  standards must be published,
    consideration given to comments received, and  a reasonable time allowed
    for foreign suppliers to adapt to the standards (except when urgent
    problems of health, safety,  environmental protection, or national
    security exist).  All mandatory standards must also be published.  In
    addition, adherents of regional standards organizations shall use their
    "best efforts1' to ensure that the standards  will expedite progress
    toward the preparation of international standards and that the regional
                                  169

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organizations comply with the requirements Just described.

     "Compliance by local government "bodies is subject to  'reasonable
means' being used to ensure compliance with these requirements.
Similarly, standards of voluntary bodies  (such as ANSI) are  conditioned
"by a  'best efforts1 stipulation.

      "In determining conformity with mandatory standards,  central
governments must likewise employ  methods  that do not  afford  protection
to domestic production and test methods must be harmonised,  as  far as
practicable » on an international  basis and be published.   Procedures
should permit tests to be carried out in  the exporting country  and
should recognize other equivalent test methods,

      "Khere a positive assurance  is required that imported products
conform to a mandatory standard,  whenever possible  a  declaration by the
supplier  or by a quality assurance body  in another  member country  should
be accepted.  If tests are carried out in the  importing  country they
should be on the same basis as tests of  domestic products.

      "Where  quality  assurance systems are operated or relied on by the
                      &SSUre conf «"»«*• 1th its mandatory standards,
       r           Safeguards as to ^irneSS a*d nondiscrimi nation.  Here
   major difference of viev exists, particularly when the quality
   SC          " internati°nal « regional in nature. ^The u! S. view
                                 ass^ance ^sterns should be open to
           to   mi   a           in the initial stages of the system.
                                          ™                  r
             to the code,  especially the developing countries.

      '                     ^Xpressed reservations about the retroactive
           -oorunry
 afford urotectloT, t^ J««, ™-LU^lTary —  or  quality assurance systems
                               industrles»  then signatories shall bring
                                               s wouid have different
                                             changes required.  Tor
                                                                 vould
  regulation.    niM    tM
  other sections of the code.             O" WlU sralt  «»Pl=tion of
                                                               to  Trade'
                                n
  code,  to investigate           ^i2 to C°MDlt °D ^^^n^^ °f
                       ««ipj.aints, and to recommend actions after
                                170

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  completion  of an  investigation.  It is also proposed that the committee
  be  empowered  to authorize suspension of code obligations for violators
  and refer serious violations to the GATT contracting parties for
  appropriate action.  This question of sanctions is controversial and
  some countries favor other, less severe enforcement provisions.

       "Some  of the drafters also have reservations about the binding
  nature of the code, particularly over the difference in how it would
  affect the  obligation of a federal as opposed to a unitary form  of
  government.   In the former many mandatory standards are developed by
  state and local bodies which the national government in some cases may
  not  effectively control . ' In the latter all mandatory standards  are
  developed by the national government.   A related problem is that  some
  countries maintain only mandatory standards while in others there are
 many voluntary and so-called 'quasi-voluntary1  ones.   (Quasi -voluntary
 standards are those that are developed in some  European countries by a
 cooperative effort between industry and government, but are ^ voluntary
 with the proviso that they can be made mandatory at  the option of the
 government.)  Thus,  those countries that rely mainly  on mandatory
 standards would assume greater obligations  under the  code than those
 that rely on voluntary or quasi-voluntary standards.  The draft code
 will address these problems  by placing different levels of  obligations
 on the signatories.

      "Obviously the  effects  a  binding  international code of  standards
 would have cannot  be fully measured until final  agreement is reached o
 specific  provisions;  however,  a few conclusions  can be ventured with a
 fair amount  of confidence.   In the  first place the role of internation
 standardization and  the organizations which perform it will become muc,
 more important. From that fact will flow greatly increased
 responsibilities on  the American National Standards Instxtute (MSI) a,
 its  activities, since ANSI represents the U. S.  interest in
 international  standardization work by the nontreaty organizations such
 as the ISO and IEC (the International Electrotechnical Commission),
 which in  fact  perform much of the international standards work.  ANSI
 will therefore need the full support of the whole spectrum of American
 industry  if  it is  to have the strength and resources to fulfill its
 task.

      "American industry  should benefit from the code.  The code will
 encourage open certification systems in which our industry can
 participate  if it  is willing to assume the resf>nsf ^^  °*Ln
 membership.  Thus the certification arrangements of CM (European
 Standards Coordinating Committee)  and CMELEC (European Committee  for
 the  Coordination of Electrotechnical Standards)  would have to be  open
                                                     In <          *
instead of restricted to Europeans as they are now.
code would place even greater pressure on the E^°*ea^°™t^
use international norms in developing their regional  standards and
certification systems.

     "Pinallv  the code may necessitate changes in current U. S.
legislated ^inXtraUve practices of regulatory bodies.  This
aspect is complex and is being carefully explored.
                                171

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                         References for Appendix D

[l]   Travaglini,  V.,  Removing "barriers  to trade through GATT, ASTM
     Standardization  News J3(ll)  (November 1975).

[2]   Travaglini reports on  GATT  code  negotiations, ANSI Reporter  (July T>
     1975).
                                       172

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                                    Appendix E.


                               Methods of Labeling

       In the development of appropriate procedures for labeling products as to
  their noise emission, it is useful to distinguish among the following four
  concepts:

       o    Determination of the noise emission of machinery or  equipment
            involves the actual measurements "which are  carried out according to
            a specified test procedure.

       o    Designation of the noise emission  is in terms of a particular
            quantity (such as A-weighted sound power level or  perceived noise
            level) expressed in a particular unit (such as decibel).
            Designation frequently involves combining the measured data in a
            prescribed manner in order  to  obtain some single-figure rating,
            usually one that  can be expected to correlate with human response.

       o     Classification involves systematic  arrangement of designated noise
            emission values into  groups or  categories according to established
            criteria.   Classification typically implies subdivision of the range
            of noise emission values into a series of intervals which, are large
            enough that the difference between adjacent classes is
            "significant", in some  sense.  These intervals may be of fixed,
            equal  size  (e.g., 5 dE) or maybe derived in a statistical  sense
            (e.g., quartiles).  Classification frequently,  but not always,
            implies  some form of coding in which a system of  words, numbers,
           letters, or other symbols is used to represent  the several  classes.
           The coding system can either be "absolute",  so that a given noise
           emission value would always  be assigned the  same  coding symbol, or
           "relative", so that the coding symbol conveys information concerning
           the relationship between the noise  emission  value of a particular
           machine or  model and the distribution of noise emission values  for
           the family  of similar equipment. The coding may also convey
           information about  the particular family to which the machinery
          belongs,  the year  to which the  classification corresponds, or other
           information necessary  to minimize any possible confusion.

     o   Labeling  means to furnish or affix written or printed matter in
          order to  furnish the purchaser or user with, information concerning
          the noise emission of  the product.  This information may include the
          designation  of the actual noise emission and/or the classification
          of the  noise emission.

          Voluntary standards organizations have been and are addressing the
questions of how  to designate and/or classify the noise emission of products.
A recent national standard[l] designates the noise emission  of small
stationary sources  in terms of the Product Noise Rating (PNR), which is
obtained from the A-weighted sound power level, adjusted by  a constant such
                                    173

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that the rating is approximately equal to the  space average of the A-weighted
sound pressure level at the specified rating distance  (usually 1 meter).
Radiation from a sound source on a reflecting  surface  is assumed.

     At the international level there currently is interest in expressing
noise emission directly in terms of the A-weighted sound power level, with the
unit being the "bel rather than the decibel  so  as to reduce confusion "between
sound pressure level and sound power level[2].  Such a document has just been
approved at the national level[3].

     A group under the jurisdiction of ISO/TC&3 (Acoustics)/SCI (.Noise) is
currently considering a possible international standard on classification and
labeling of equipment and machinery as to noise emission.  In the current
draft of this proposal[U], noise emission would be designated in terms  of the
A-weighted sound power level.  An absolute  classification scheme is proposed
in which the sound power level is rounded up  to the nearest  5 dB.  The
proposed relative classification scheme  also  uses a  5  dB class interval: Class
1 would include machinery which is "representative of  the guaranteed noise
emission number to be expected from well designed machines of good workmanship
belonging to the family* in question;1'  Class  2 would include machines  for
which the guaranteed noise emission is 5 dB less than  in Class 1; Class 3
machines would be at least 10 dB quieter than those  in Class 1, etc.   It has
been suggested that the Class number be identified by  showing the appropriate
number  of stars.

      In considering classification or labeling schemes for  noise emission  it
 is  important  to  consider who is the intended user or audience.  A label, or
 other  documentation, which conveys the noise emission designation and/or
 classification should  enable fair comparisons among competing products and
 should assist  purchasers or users in assessing the noise impact  of  the
 product,   The user, however, may be, for example,  (l) an engineer  who needs
 to  determine  the effect of the product on compliance with hearing  conservation
 regulations,  (2)  a construction superintendent who has to  comply with zoning
 regulations,  or  (3)  a  private citizen who simply wants a "quiet"  appliance for
 his home.   Both  the information needs and the technical sophistication of
 these users will vary  widely and  the information conveyed must be  adequate for
 the more sophisticated user while at the same time must not be confusing to
 persons with  less technical backgrounds.

      The acoustical consulting  firm of Bolt Beranek and Newman has just
 completed,  for the U.  S. Environmental Protection Agency, a study of problems
 and considerations involved in  labeling products as to their noise emission or
 control characteristics.   Thus  in this brief  appendix there is no need to
 delve very deeply into the many questions  involved with establishing a viable
 noise labeling program.   However, there are a few key points that can
 beneficially  be mentioned.
 *Mote:  A family of machines or equipment  is a group... of a similar design or
 type or meeting the same performance requirements for which it is reasonable
 to establish a noise class."

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      Labeling data could "be provided in two ways.  The label itself might be
  in the  form of detailed acoustic data, e.g., octave-band sound power levels
  vhich the user could utilize in placement of the machines within the
  workplace.  Or there could be a "cookbook" application guide which  would be
  used in conjunction with the simple general public label which would allow the
  purchaser to predict what sound levels could be expected at  some distance from
  the noise source, e.g., at the property line.  There are several possible
  labeling schemes which deserve consideration.  They include  single  number
  ratings, single letter ratings, color codes, actual sound level values or sets
  of data.

      A  single number rating has, as its main value, simplicity.  However,
 public  education would be necessary to assure acceptance and thus success of a
  single  number labeling scheme.   Assume that products can be  labeled on a
 single  number scale ranging from 1-10.   The initial problem  is  that the
 difference between adjacent numbers (e.g., difference between a 3 and a k)
 should be acoustically significant.  In other words,  the public would have to
 be able to discern the product  improvement from one number to another without
 the assistance of sophisticated instrumentation.   In  acoustics, it is
 generally accepted that approximately a 3  dB difference  must  exist before the
 human ear consistently can detect any difference.   This  question of the
 acoustic level change between adjacent  numbers, letters,  colors, etc.,  is an
 inherent problem with any labeling  system.

      A second problem is  determining what  meaning the number system already
 has with the  public.   One  might  naively expect that a numbering system would
 work  perfectly with 1  the  quietest  and  10  the noisiest.  However,  one  could
 think of 10 as being larger than 1;  therefore, a product rated 10  would
 provide  more  of  something  than a product rated 1.  The more in this  case  could
 either be more noise or more noise  abatement.  In addition, in the educational
 system utilizing  a numerical grading system, 100 is a perfect score.

     The single letter rating, like  the single number, has the advantage of
 being simple.  Moreover, the problem of public education might be  somewhat
 easier,  because most people in the United States have been exposed in varying
 degrees  to the formal education process that traditionally utilizes  an  A, B, C
 grading  system.  In all cases A is the best.  Also people have been  further
 familiarized with this grading system since it is now applied to the grading
 of meat  and dairy products.  Because of this, it seems that if the best
 product  — in this case the quietest — were labeled A and Z  the noisiest,
 consumers would not find this rating scheme to be inconsistent with  other
 grading  systems with which they are familiar.

     Use of a color code is another easy method of labeling but  it too
 involves educational problems.  There are only three colors — red (stop),
yellow (caution), and green Cgo) — whose meanings most people would recognize
 immediately.  Three colors are probably not enough to establish  an adequate
labeling scheme.   The addition of other colors to  the t.hree already mentioned
could result in a. massive educational problem.   Furthermore,  a significant
percentage of the population is  partially color blind.
                                   175

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     Another alternative would be to list the noise emission (.sound pressure
or sound power level)  produced by the product directly on the package itself.
This method has the advantage of giving the consumer an absolute value vhich
he can directly compare with the sound values of other products.  It has "been
stated (e.g. [5-6]) that consumers  desire more specific information and are
capable of understanding more than  they are usually given credit for.  For
example, women's hosiery is graded  according to its "gauge".  The fact that
gauge indicates how many needles are used in 1-1/2 inches of the loom is not
important to know.  It is enough that the consumer knows that the higher the
gauge, generally the more durable the hosiery.  The same may "be true about
sound level values.  It may not be  necessary fpr a person to understand the
technical aspects of the decibel.   They merely need to be told enough so that
they can interpret in an adequate way how A-weighted sound level is a measure
of a product's "noise quality". This could probably be accomplished by
inserting a well-written article in some of the more popular magazines and
newspapers discussing in layman's terms the meaning of the terminology and
units.

     A final labeling measure which could be used is a set of data which
describes the noise emission spectrum of the product.  Such a label might not
really be needed or useful for the general  public; however, this type of
information might be the only label thus far mentioned that would satisfy some
of the needs of the business and industrial community.  The typical plant
owner needs information that will  tell him  whether the equipment he is
purchasing will violate any noise  regulations under his use conditions.  This
type of  information is necessary so that plant layouts can be designed to
achieve minimum noise levels, utilizing natural  shielding of machinery and
equipment, avoiding location of high-intensity noise  sources near walls,
reflective  surfaces, work stations, and areas  frequented by employees.  A
color code or single number or letter rating by  itself will not provide the
user the kind and amount of information he  needs.  Any of the simple labels
coupled with an application guide in cookbook form could serve his needs if
the guide were properly designed.   The decisions made by the business com-
munity can  involve considerable expenditures  and the  purchaser  could avoid a
mistake  if  it is possible to provide him with the  necessary information.

     Thsre  is one voluntary labeling systems  which already  exists  and is well
accepted in the area of acoustics.  The Air-Conditioning and Refrigeration
Institute utilizes 1/3-octave band sound power determinations in a reverberant
room as  the basis  for its sound labeling system.  The sound power data  are
converted into a  single number rating (numerical classification scheme  ranging
from 1U-21  with increasing noise level corresponding to increasing numbers —
a change of 1 corresponds to about 3.3 dB)  and an application guide  that
provides the_steps necessary to convert a single number  into  a  predicted  sound
level  at a  given  distance from the source.   The labeling  system is primarily
aimed at the distributors and  installation contractors; however, education
booklets describing the meaning of the ratings have been developed for  the
consumer.
                                    176.

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       Since this labeling scheme does presently exist and has  some  history of
  acceptance, it will be briefly discussed to provide some additional insight
  into the problems associated with the development of a labeling scheme that
  will benefit and be understood by the audience for which the  label is
  intended.

       The Air-Conditioning and Refrigeration Institute began "sound rating"
  outdoor -units in 1971 with publication of its  first Directory of Sound- Rated
  Outdoor Unitary Equipment.

       Under this voluntary program, all participating manufacturers (the models
  listed in the most recent directory represent more than 90 percent of the
  total U.  S.  output of these types  of equipment) are required to rate the noise
  emission of their outdoor units in accordance with specified procedures.   Each
  manufacturer certifies his own equipment  and he must certify his entire line,
  not Just  selected models,  to be listed in the directory.  Air-Conditioning and
  Refrigeration Institute member laboratories  have the specialized facilities
  and trained  manpower  to make sound power  measurements in a reverberant field.

       Based on an American  Society  for  Heating, Refrigerating and Air-
  Conditioning Engineers test  method, the Air-Conditioning and Refrigeration
  Institute standards and the  Certification Program have been developed.  One
  standard  is  for  rating and certification  through independent laboratory tests
  of  the  sound-generating characteristics of air conditioning equipment  and
  provides  a uniform method  for assigning a single rating number to this
  equipment.  Most units  rate  between ih and 2k on the Air-Conditioning  and
  Refrigeration  Institute rating scale.  The rating has built into it a penalty
  for whines, screeches,  and whistles —p the kind of noise that  is disturbing
  but may not be adequately indicated by meter readings.

      At random, over a  3 year period, each model of each manufacturer is
  retested by an independent laboratory to ensure the accuracy of the noise
  rating.  Enforcement procedures are strict:   if a unit is tested and found to
 "be inaccurately rated, a manufacturer must change the. sound rating, improve
 the unit to meet the original rating, or withdraw from the directory and thus
 lose the right to display the Air-Conditioning  and/Refrigeration- Institute
 Sound Rating Seal of Certification on his units.

      The Air-Conditioning and Refrigeration Institute has  also developed an
 application standard which is basically a "cookbook" approach  to converting
 the sound rating number into an expected A-weighted sound  level that will be
 produced at given points of evaluation, e.g., the property line.

      Another program that is of interest because of analogous problems to
 noise emission labeling is the voluntary labeling program which applies to
 energy-consuming home  appliances[7-c1]*.  Figure 35  shows an example of the
*This program will be modified in the near future since the Energy Policy and
Conservation Act (P.L. 9^-l63), which was passed on 22 December 1975, makes it
mandate'v for >nany products to be labeled as to their energy consumption.
This program will be carried out" by the Federal Energy Administration with the
design of appropriate labels being the responsibility of the Federal Trade
Commission.
                                   177

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                      energy  guide
                   ASDF Corp.                  Model 5508A10

                          8,000  Btu per  hour
                                (cooling capacity)

                   115 volts         860 watts       7.5 amperes


                             E E R=9.3
                     Energy Efficiency Ratio expressed in Btu per watt-hour

                     IMPORTANT... for units with the same cooling
                                  capacity, higher EER means:
                                  Lower energy consumption
                                  Lower cost to use!

                   For available 7,500 to 8,500 Btu per hour 115 volt
                   window models the EER range is

                              [  EER 5.4 to EER 9.9  |

                    For information on cost of operation  and selection
                    of correct cooling capacity, ask your dealer for NBS
                    Publication LC 1053 or write to National Bureau of
                    Standards, 411.00, Washington, D.C. 20234
                      Data on this label        Tested in accordance with
                    for this unit certified by           »\t*"" 01
                                             -v<*   .^
                                               *""«>«
Figure  In.   Sample of the energy  labels now found on many room air con-
             ditioners.

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  label  to be affixed to  a room air  conditioner.  The cooling capacity of a unit
  is  determined,  in  accordance  with  an appropriate test procedure, in units of
  Btu per  hour.   The electrical power requirement is determined in units of
  watts.   The efficiency  of a unit is designated in terms of the Energy
  Efficiency  Ratio (EER)  which  is the ratio of the cooling capacity to the
  electrical  power requirement.  The class, interval is 0.1 Btu per watt-hour,
  obtained simply by rounding off the calculated ratio.  Thus this is an
  absolute classification scheme in  that the number on the label directly
  expresses a measure of  the efficiency of the unit.  The performance of a
  particular  unit can be  judged from the range of EER values shown on the label
  for available units of  comparable  cooling capacity.  Thus this voluntary
  labeling program retains the benefits of an absolute classification scheme
 while at the same time  giving some relative information.

      Returning to noise emission, most acousticians who have been contacted by
 "the authors believe that as a minimum,  a label,  or other  documentation,  should
 convey information as to the absolute noise emission.   This can either be in
 terms of the designated noise emission, to whatever precision  is  reasonable,
 or in terms of a simple classification scheme  such as the A-weighted sound
 power level rounded up to the nearest  0.5 B'or 5 dB.  (Note that  such a
 rudimentary classification system involves division of the  range  of
 designations into intervals of "significant" size,  but  does not involve
 arbitrary coding).   There seems to  be very little  reason to favor coding of an
 absolute  classification scheme in any vay (such  a & Class- 1, 2,  3,  .... or Class
 A» B,  C,  ...) that  obscures the relationship to  the actual  noise emission.

     There have been some proposals for relative classification schemes based
 on statistical distributions of noise emissions for a family of equipment.
 Difficulties with this type of system include the following:

           a  particular model cannot be  classified until essentially all other
           products  in  the same  family have been measured.   This makes one
           manufacturer too dependent upon the time schedules of other manu-
           facturers .

           the  classification of a product is sensitive to  errors in the noise
           emission  designations for other products in the  same  family.

          the  classification scheme can be "manipulated" by catalog listings
          of particularly quiet or particularly noisy products, even though
          such products  are not normally sold.

               the classification system changes  with time so that one  cannot
          readily compare products sold in different years.

     It is recommended that serious  consideration be given to a labeling
system based on an absolute classification scheme,  plus  information on the
range of noise emissions for competing products.  This would be analogous to
"the energy guide label shown in Figure 35-
                                   179

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                        References for Appendix E

[l]   American National Standard Method for Rating the Sound Power Spectra of
     Small Stationary Noise Sources, S3. 17-1975 5 also Acoust. Soc . Amer. Std.
     14-1975 (American National Standards Institute, New York, 1975)-

[2]   Lang, W. W.,  and Flynn, D. R. , A  Noise Emission Number for product
     designation,  Noise  Control Engineering ^_, 108-113 (1975); errata in NCE
     I, 3 (1975).

[3]   American National Standard Method for the Designation of Sound Power
     Emitted by Machinery  and Equipment, SI. 23-1976; also Acoust. Society
     Amer. Std.  5-1976  (American National Standards Institute, New York,
     1976).

[U]  First Draft Proposal  ISO/DP  U871  for Acoustics — Noise Classification
     and Labelling of Equipment and Machinery, Document No. ISO/TC U3/SC 1
     (Secretariat - 203) 27^ (January  1976").

[5]  Coles, J. V., Standards and Labels  for Consumer Goods  (Ronald Press Co.»
     New York,
 [6]  Dickerson, F. R., Product Safety in Household Goods (Bobbs-Merrill Co.,
     New York, 1968).

 [7]  Air conditioner labels show how to keep coolest for least $,  Commerce
     Today, Vol. IV, No. 18, pp 10-11 (June 10,. 197*0.

 [8]  Conserving Energy Through Appliance Labeling, Dimensions/NBS  58, 22^-225
     &  238  (197*0 .
                                     180

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    NBS.1I4A (REV. 7.73)
        U.S. DEPT. OF COMM.
      BIBLIOGRAPH4C DATA
             SHEET
1. PUBLICATION OR REPORT NO.
    NBS HB-122 and
    EPA 5SQ/
-------
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