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            An Experimental Investigation with Application to Noise
                       from Portable Air Compressors
                             Curtis I. Holiner
                        National Bureau of Standards
                                July 1975

                             \
                Approved for public release; distribution unlimited
                          Applied Acoustics Section
                          Institute for Basic Standards
                          National Bureau of Standards
                           Washington, D. C. 20234

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NBSIR 75-652
EPA-550/8-76-001

PROCEDURES FOR ESTIMATING SOUND
POWER FROM MEASUREMENTS OF SOUND
PRESSURE
An Experimental Investigation with Application to Noise
from Portable Air Compressors
Curtis I. Holmer
Applied Acoustics Section
National Bureau of Standards
Washington. D. C. 20234
July 1975

Final Report
 Prepared for
 Office of Noise Abatement and Control
 U. S. Environmental Protection Agency
 Washington, D. C.  20460
   <•***
 /  w
   •**««•
 U.S. DEPARTMENT OF COMMERCE, Rogers C.B. Morton, Secretary
    James A. Baker, III. Under Secretary
    Dr. Betsy Ancker-Johnson. Assistant Secretary for Science and Technology

 NATIONAL BUREAU OF STANDARDS. Ernest Ambler. Acting Director

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                               Table of Contents

                                                                          Page

1.   Introduction                                                           1

2.   Experimental Program                                                   3

     2.1.  Program Objectives and Implementation                            3
     2.2.  Experimental Plan                                                3
     2.3.  Measurement Procedures                                           3

           2.3.1.   Measurement Site                                        3
           2.3.2.   Instrumentation                                         It
           2.3.3.   Test Plan                                               7
           2.3-1*.   Data Acquisition                                        9
           2.3.5.   Data Reduction and Corrections                         11

     2.1».  Description of Compressor Sample                                lit
     2.5.  Compressor Operation                                            15
     2.6.  Measurement Locations and A-veighted Sound Level Data           16

           2.6.1.   Far Field Measurements                                 16
           2.6.2.   Near Field Measurements                                17

3-   Sound Power Level Calculations                                        37

     3.1.  Far Field Sound Power Calculation Procedures                    37

           3.1.1.   Systematic Errors in the Far Field Array               37
           3.1.2.   Far Field Sound Power Calculations                     1)0

     3.2.  Near Field Sound Power Calculation Procedures                   l»i
     3-3.  Sound Power Level Data                                          UU

1*.   Discussion of Kxperimental Results                                    62

     lt.1.  Sound Pressure Level Data                                       62

           It. 1.1.   Directivity of Compressor Noise                        62
           4.1.2.   Systematic Variation of Hoise with Position            62

     1».2.  Sound Power Level Data                                          62

5.   Analysis of Measurement Error                                         Gk

     5-1.  Introduction                                                    6to
     5.2.  Error in Sound Power Measurement Methodologies                  6U
     5-3.  Instrumentation Accuracy                                        68
     5-1*.  Total Measurement Error                                         69

6.   Conclusions                                                           71

7.   Acknowledgements                                                      72

8.   Beferences                                                            73

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                                  List of Tables
                                                   Test Number 1
                                                   Test Number 2
                                                   Test Number 3
                                                   Test Humber U
                                                   Test Number 5
                                                   Test Number 6
                                                   Test Kumber 7
                                                   Test Number 8
                                                   Test Number 9
                                                   Test Number 10
                                                   Test Number 11
                                                   Test Number 12
                                                   Test Number 13
                                                   Test Number ik
                                                   Test Number 15
                                                   Test Number 16
                                                   Test Number 17
                                                   Test Number 18

                                                   Test Number 19,
Table 1     Instrumentation data
Table 2     Description of sources
Table 3.1   A-weighted sound pressure level data.
Table 3.2   A-weighted sound pressure level data.
Table 3-3   A-weighted sound pressure level data.
Table 3-^   A-weighted sound pressure level data.
Table 3-5   A-weighted sound pressure level data.
Table 3-6   A-weighted sound pressure level data.
Table 3-7   A-weighted sound pressure level data.
Table 3.8   A-weighted sound pressure level data.
Table 3-9   A-weighted sound pressure level data.
Table 3.10  A-weighted sound pressure level data.
Table 3.11  A-weighted sound pressure level data.
Table 3.12  A-weighted sound pressure level data.
Table 3.13  A-weighted sound pressure level data.
Table 3-1^  A-weighted sound pressure level data.
Table. 3.15  ATweighted sound pressure level data.
Table 3.16  A-weighted sound pressure level data.
Table 3.17  A-weighted sound pressure level data.
Table 3.18  A-weighted sound pressure level data.
            (Broad band reference sound source)
Table 3.19, A-weighted sound pressure level data.
    20, 21  20, 21 (Pure-tone loudspeaker source, 500 Hz, 1000 Hz,
            2000 Hz)            .
Table l*.l   Systematic error in estimation of sound power from a
            compact source using SPL values from a 73 point array
            on a 7 metre hemisphere (source:  pure tone)
Table \.Z   Systematic error in estimation of sound power from a
            compact source using SPL values from a 73 point array
            on a 7 metre hemisphere (source:  pink noise).
            Sound power level data.  Test number 1
                                     Test number 2
                                     Test number 3
                                     Test number k
                                     Test number 5
                                     Test number 6
                                     Test number 7
                                     Test cumber 8
                                     Test number 9
                                     Test number 10
                                     Test number 11
                                     Test number 12
                                     Test number 13
                                     Test number lU
                                     Test number 15
                                     Test number 16
                                     Test number 17
            Average deviation and standard deviation of average
            deviation of near field sound power level from far
            field sound power level for seventeen portable air
            compressors.  Six near field procedures are shown plus
            similar statistics for far field methodology
Table 7     Instruments imprecision (two standard deviations)
            associated with commercially available precision
            (Type I) sound level meters
Table 8     Estimated achievable measurement error (90% confidence
            for measurement of A-weighted sound power level of portable
            air compressors in a field test environment using a
            measurement surface 1 metre from the source surface,
            excluding operator error.
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
Table
5.1
5.2
5-3
5.*
5-5
5-6
5.7
5.8
5-9
5.10
5.11
5.12
5.13
5.1k
5.15
5.16
5.17
6
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
Sound power level data.
                                                                    Page

                                                                      11

                                                                      s
                                                                      19
                                                                      20
                                                                      21
                                                                      22
                                                                      23
                                                                      2l»
                                                                      25
                                                                      26
                                                                      27
                                                                      28
                                                                      29
                                                                      30
                                                                      31
                                                                      32
                                                                      33
                                                                      3fc
                                                                      35

                                                                      36
                                                                            39
                                                                            39
J.5
U6
1»7
U8
»*9
50
51
52
53
5"»
55
56
57
58
59
60
61
63
                                                                           69


                                                                           70
                                        ii

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                                List of Figures

                                                                        Page

Figure 1  Field test site                                                   It

Figure 2  Photographs of test site                                          5

Figure 3  Equipment configuration for pulse echo tests of                   6
          test site

Figure U  Schematic block diagram of data acquisition and                   7
          analysis instrumentation

Figure 5  Far-field measurement array                                       8

Figure 6  Representative near-field measurement positions                   9

Figure 7  Microphone correction factor (Type !»llt5 cartridge)               13

Figure 8  Confonnal surface at a distance r from a rectangular box         1»2

Figure 9  Plot of average deviation of near field from far field           6U
          sound power level

Figure 10 "Bias" and "precision of A-weighted soxmd ppver level vs         67
          number of measurement positions (17 compressors)

Figure 11 A-weighted sound power level deviation vs source size            68
                                       ill

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                              PROCEDURES FOR ESTIMATING SOUND POWER  FROM
                                    MEASUREMENTS OK SOUND PRESSURE

                            An Experimental Investigation vith  Application
                                to Noise From Portable Air Compressors

                                           Curtis I. Holmer
                                      Applied Acoustics Section
                                          Mechanics Division
                                     National Bureau of Standards
                                       Washington, D. C. 20231*


                                               ABSTRACT

     This report describes investigations of the accuracy and precision of  various measurement
methodologies for determining the estimated sound power output  of  "large" machines in 'the free  field
over a reflecting plane.  One purpose of this investigation is  to  place empirical error  bounds  on  many
of the free field measurement procedures currently proposed or  in  use;  and  in particular, compare  the
results of "near-field" and "far-field" measurements.  The sources used for the investigation included
17 portable air compressors of various types (powered by internal  combustion engines), a "reference"
sound source, and a loudspeaker driven by a pure tone source.   The data recorded include sound
pressure level (A-veighted, linear, and 1/3-c.rtave band) on an  8U  point hemispherical array  of  seven
metre radius, and "near-field" measurements, sampled every square  metre, on a rectangular surface  one
metre from the machine surface.  These data were reduced to provide  information on the deviation of
"near field" sound power determinations from "far-field" power  level (using subsets  of the data as
appropriate to various methodologies).  The measured data for seventeen sources suggests that the
value of a sound power estimate based on "near-field" sound pressure level  measurements  msy  be  an
upper bound to the sound power level estimated from far field measurements, subject  to the limitations
of sampling error.  Estimates of total achievable measurement error  of A-weighted sound  power level of
near field determinations relative to far field determinations  are made for several  measurement
methodologies, based on the experimental data.
                                           1.  INTRODUCTION


     This report presents the results of an experimental investigation undertaken by the national
Bureau of Standards; of measurement procedures for the determination of sound power output of portable
air compressors.

     These results are preliminary in the sense that the potential information available from the data
bank established in the measurement program has only been partially evaluated.  Much additional
information remains to be retrieved from the data.  The conclusions reached concerning the accuracy
and precision of "near-field" sound power measurements are substantiated as far as they go.   However,
additional analysis of the data may lead to reinterpretation of these findings.

     This study was jointly funded by the U. S. Environmental Protection Agency Office of Noise
Abatement and Control (EPA/OHAC) and the National Bureau of Standards (NBS) to provide background
information for a measurement methodology appropriate for the regulation of noise emission from newly
manufactured portable air compressors.  EPA supported the cost of data collection and NBS the cost of
data reduction and analysis.

     True sound power output is conventionally defined as the integral of the normal component of time
average acoustic intensity over a surface completely enclosing the source.  (See discussion in Section
5.2.)  Since the actual measurement process must involve point sampling of the sound field due to the
source, and to be widely useful must employ commercially available instrumentation, such measurements
can only yield an estimate of true sound power.  Present commercially available instrumentation
measures mean square sound pressure rather than intensity, so standardized measurement procedures for
the estimation of sound power employ measurements of sound pressure under particular controlled
situations where the measurements provide data which is known to at least asymptotically approach (in
the large radius limit) the scalar magnitude of true intensity.

     Present ISO and ANSI standard methodsfl]-' of determination of sound power in the free field over
a reflecting plane involve measurements of sound pressure level at points on a hemisphere whose radius
is large compared with the largest source dimension ("far field").  Recent draft standards[2] and some
—'Numbers in brackets refer to references at the end of this report.

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current research!3] suggest that measurements  made  near the surface of a large machine ("near-field")
can also be utilized as the basis for estimates  of  radiated sound pover.  This study was intended to:
(1)  provide empirical evaluation of the suitability  of close-in measurements of sound pressure level
to infer the "farfield" estimate of sound power  output of a portable air compressor;  (2)  provide
empirical estimates of measurement precision and accuracy as a  function of the methodology used; and
(3)  contribute additional data on noise emission from portable air compressors.

     The measurement program consisted of determinations of time averaged sound pressure level at a
large number of positions on two different measurement surfaces (one in the "far field" and one in the
"near field") surrounding each of seventeen sources.  From the  data for each source an estimate of the
sound power radiated by that source was made for each surface,  and the difference between the two
measurements was used to infer the validity and  accuracy of "near field" measurement procedures
relative to the far field procedures.  The precision  of the measurement procedure was inferred from
the statistics of these differences for the set  of  sources investigated.  Since several proposed
methodologies include measurement positions which are subsets of the complete set of measurement
positions, the accuracy and precision of these methodologies could be inferred in a similar manner.

     We recognize that neither of the above measurement procedures provide the absolute sound power
level for the reasons already mentioned.  As such we  recognize  that we cannot state with any
certainty, the degree to vhich either sound power determination approximates the absolute sound power
output.  In the following sections it is emphasized that the phrase "sound power" should be
interpreted as refering to the estimate of sound power obtained from measurement of sound pressure
levels at large distances from a source.  Further,  the use of the term "accuracy" is used to describe
the relative bias of a determination from the  estimate of sound power described above.

     The following sections of this report present  detailed discussions of: the experimental program,
including results of the sound pressure level  measurements; the computation of sound power level for a
limited number of measurement methodologies, and the  results of these computations; estimates of
measurement accuracy and precision for the methodologies evaluated; and conclusions regarding the
various methodologies.

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                                       2.  EXPERIMENTAL PROGRAM

                             2.1.  Program Objectives and Implementation

      The principal objectives of the program were:

      1.   Test  experimentally, the validity of using "near-field" measurements  of  sound pressure level
          to predict the "far-field" sound pressure level for large machines.   (The  computation
          procedure used involves the intermediate concept of sound power output as  a  characterization
          of the source emission.)

      2.   Provide a data base from which the accuracy and precision of sound power determinations may
          be estimated based on limited sampling of the sound field.

      3.   Generate baseline data of noise emission from portable air compressors.

      The implementation of these objectives is briefly discussed below.

                                       2.2.  Experimental Plan

      The experiment consisted of the measurement of sound pressure level on two surfaces  surrounding
 the  sound source.  The larger surface (yielding the "far field" measurement data)  was  a hemisphere  of
 a fixed 7 metre radius.  The sound pressure level was sampled at seven locations utilizing a
 semicircular microphone array.  The array was rotated around a vertical axis to twelve different
 positions during the tests thus providing a total of 81* measurement positions.   The  smaller
 measurement surface, which yielded the "near field" data, consisted of a rectangular box  surrounding
 the  source at a distance of one metre from the surface of the source.  These measurements were
 recorded for a  series of seventeen air compressors, one broad-band reference sound source and one
 enclosed loudspeaker excited by three different pure tone signals.  The complete set of data from the
 compressors was used to compute sound power level for each of the sources to provide a test of the
 validity of near field measurements.  The data were reprocessed using subsets of the near field data
 in order to evaluate the effects of sampling error.  These results are used to  provide a  portion of
 the  estimate of error of measurement, for various measurement methodologies.

                                     2.3.  Measurement Procedures

      In this section we discuss the measurement site, the data acquisition and  analysis
 instrumentation, the data reduction procedures and the detailed test procedures for  taking "far field"
 and  "near field" sound pressure level data.  In the following, the term "far field"  will be used
 without quotes  to denote the 7 m radius test data, while "near field" will be similarly used to denote
 the  measurement at 1 m from the source surface.  In so doing, no claim is made  or  intended that these
 data are, in fact, in the acoustic far-field or near-field, respectively.

 2-3.1.  Measurement Site  An agreement was reached with the U. S. Army for utilization of a hard
 surface test pad at Fort Belvoir, Virginia, for the data acquisition phase of this program.   A plan
 view of the measurement site is shown in Figure 1.  The test pad consisted of a 27 m.  diameter
 concrete surface, of roughly conical shape pitched to a drain (which was covered with  a 6 mm thick
 steel plate throughout the tests) in the center.  An estimate of the half-angle of the cone is 89.2°.
 An annular-shaped rolled clay area of about 60 m total diameter, surrounded the test pad, and provided
 increased clear area.  This clay surface varied in elevation from 0 to .3m below  the  surface of the
 concrete test pad.  The nearest major reflecting surfaces were a one-story corrugated  steel building
 about ho m northeast of the test pad, and the test equipment truck located, about 50  m  southeast of  the
 test pad.

     Other significant topographic details within a 75 m radius of the center of the test pad included
 a  creek bed approximately 30 m south of the test site whose surface was 3 to 5  metres  below the
 surface of the test pad, and a tree covered hill to the northwest of the test site which had a slope
 of 20-30°.  The photographs in Figure 2 present views of the site from the south edge  looking north
 and  from the west edge looking east.

     A pulse echo test, using the equipment shown in Figure 3, was used to quantitatively evaluate  the
 effect of reflections.  The worst case reflection, in the sense of poorest direct-to-reflected signal
 ratio, is that which returns to a point behind the major lobe of a directive source.   A 10 in.
 diameter loudspeaker in an "infinite" baffle enclosure was used to simulate a directive source.  Tone
bursts at octave center frequencies from 125 Hz to h kHz were used to investigate  the  strength of
reflections in twelve directions at 30° increments in angle around the test site.  The one story
building was found to produce significant mid and high frequency reflections, and  was  covered with  a 3
in.  glass fiber, building insulation, absorber (shown in Figure 2).  With this  modification, the
strength of reflections was more than 15dB below the direct signal at 180° behind  the  loudspeaker (see
Table 3.19 for directivity information on the loudspeaker at 500 Hz, 1000 Hz and 2000  Hz).  Since the

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                                                                      GLASS FIBER ABSORB
      CALLED
       NORTH
60 m DIAMETER AREA (ROLLED
CLAY), 0-0.3 m BELOW PAD
SURFACE
                            27m DIAMETER TEST
                            PAD (CONCRETE)
                            -TELEPHONE
                             POLES TO
                             SUPPORT
                           OARRAY
         CREEK BED
  (3-5 m BELOW TEST PAD)
Figure 1  Field test site
directivity of the other test sources was found to be less  than or equal to that of the loudspeaker,
this leads us to state with confidence that the contribution  of unwanted reflected signals was
negligible at all test frequencies at all microphone positions.

     The acoustic ambient of the test site was determined by  three major sources — steady traffic
noise from a four-lane interstate highway approximately 1 km  southeast of the site, aircraft and
helicopter overflights from nearby airports, and rural fauna  (principally birds and insects).
2.3.2  Instrumentation  Figure U shows a schematic block diagram of the instrumentation used  for the
measurements reported here.  The eight microphone channels  each included a 1-inch diameter Bruel &
KJaer (B & K) Type Itl31—  condenser microphone cartridge with standard protection grid (fitted with a
—^
  Commercial instruments are  identified in this report in order to adequately specify the experimental
  procedure.  In no case does such identification imply recommendation or endorsement by the National
  Bureau of Standards, nor does it imply that the equipment identified is necessarily the best
  available for the purpose.

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                                                              l"
                                           ,
                                                 .•
r.
                                                                   4
                                    i  -    -
       a) South edge looking north showing far field array in place (test no. 9)
                                                    -v
        b) West edge looking east showing near field microphones in place (test No.  11)
Figure 2 Photographs of test site

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                                                   -7m-
                      1.5m
                                 MICROPHONE
                                                                       1m
                                                                                         LOUDSPEAKER
                                                                          CENTER OF
                                                                          TEST PAD
 Figure 3  Equipment configuration for pulse echo tests  of
           test site
 desiccant dehumidifier to control humidity in the microphone cavity) and 10 cm diameter polyurethane
 foam windscreen, with B & K Type 2619 FET cathode-follower preamplifier.  Each pair of channels was
 driven by a battery-operated power supply.  The signal from each channel was fed to a
 computer-controlled multiplexer (NBS designed and fabricated) which was used to electrically  switch
 from one channel to another (over the frequency range 20 Hz- 20 kHz, crosstalk between any two
 channels is greater than -65 dB, and channel gain is 0 dB +_ 0.2 dB).  The signal from the multiplexer
 was transmitted via coaxial cable to a B & K Type 33^7 real-time one-third-octave band analyzer where
 the signal was analyzed in A-weighted, linear (2 Kz-20 kHz) and one-third octave bands from 12.5 Hz to
 20 kHz.  Output from the analyzer, in the form of digitally coded sound pressure levels, was  sent  on
 demand to a Raytheon type 10h minicomputer for manipulation and storage.  Control of the computer  was
 accomplished through an initial data acquisition and reduction program, with system operator
 interaction through a CRT terminal.

     The signal being processed was continuously monitored, both audibly through a headset, and
 visually through the spectrum displayed on the analyzer.  If (a) non-stationarity of spectra  on a
 given channel, (b) significant level or spectrum change from channel to channel or, (c)  non
 characteristic sound in the audible monitor was observed, the data processing was interrupted and  the
 cause investigated.

     Using these techniques, aircraft overflights were typically sensed prior to a visible
 identification, and stability and speed of the compressor in operation were monitored as well, thus
permitting the operator to prevent processing of unwanted signals.

     An eighth microphone was placed at a fixed height (-v-lm)  and distance (-vlim)  from the source for
both the near and far field measurements.   This position was used as  a reference to verify constant
source output throughout both tests.

     Additional acoustic instrumentation included a sound level meter  and octave band filter  set for
recording additional sound level data.   Other instruments included a vane-type wind speed indicator,
an optically-coupled tachometer for checking operating speed of the engine and fan,  and  a mercury
column thermometer for monitoring test  site temperature.

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        B&K 4145 MICROPHONE
        CARTRIDGE, UA 0310
        DEHUMIDIFIER,
        2619 FET PREAMPLIFIER
B&K 2804
POWER SUPPLY
NBS8 CHANNEL
COMPUTER CONTROLLED
SWITCH (MULTIPLEXER)
                        B&K 3347 REAL
                        TIME ONE-THIRD
                        OCTAVE BAND
                        ANALYZER
                                                     RAYTHEON
                                                        704
                                                  MINICOMPUTER
                                                   TEKTROWIX
                                                   CRT TERMINAL
                                             DATA
                                          PROCESSING
                                          >   AND
                                            VISUAL
                                           MONITOR
                                                                         AUDIO
                                                                        MONITOR
                                   HEADSET
 Figure 1»  Schematic block diagram of data acquisition and
          analysis instrumentation
2.3.3 Test Plan The measurements on all sources vere made according to the following test plan.
Figure 5 shows the far field array, while Figure 6 shows a schematic illustration of the near field
measurement positions referred to in the plan.

     a) Assemble and check far field measurement array.

     b) Load computer program and check.

     c) Record frequency response of all channels for electrical pink noise input.

     d) Record channel response to pistonphone  calibration signal.  If response between channels
     differs by more than 0.5 dB plus difference between microphone sensitivities, investigate problem
     and complete repair.

     e) Erect far field array.

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     f) Record first far field ambient noise for first array position (all channels).

     g) Record far field data for source  (12 array positions).  During these runs, wind speed war,
     monitored and no data recorded vhen  speed exceeded Vim/sec.(12 mph).  Signal vas  monitored and no  data
     recorded when acoustic events occurred which were not represented in the ambient  noise
     measurement (such as aircraft flyovers, etc.).

     h) Record second far field ambient noise, for first array position.

     i) Take down the array.

     j) Record second pistonphone calibration.

     k) Disassemble far field array and assemble near field array.

     1) Record third pistonphone calibration.

     m)  Record first near field ambient  noise.

     n)  Record near field data observing same limitations on wind and ambient noise as in g) above.

     o) Record second near field ambient  noise.

     p) Record fourth pistonphone calibration.

     q) Tisassemble and store equipment.


                                                                   MICROPHONE   ANGLEtfj    Xj     Zj
                                                                      NO.
(DEGREES)   (METRES)
                                             CABLES TO POLE
                                                SUPPORT
1
2
3
4
5
6
7
14.2
35.1
65.5
90.0
47.6
24.2
4.7
6.79
5.71
2.89
0.00
4.71
6.33
6.98
1.73
4.03
6.33
7.00
5.18
2.88
.58
                                                                                           MIC 2
                                                                                                MIC1
Figure 5  Far-field measurement array

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                            1  m
Figure 6  Representative near-field measurement positions
2.3.U.  Data Acquisition.

     The incorporation of a minicomputer into the data acquisition system permits considerable
flexibility in manipulating information prior to storage, over that of the  analyzer operating alone.
The data acquisition program was structured to facilitate this.   One major  area vhere this facility
vas used was in the area of signal integration.

     The digital coded signal available from the analyzer represents the  R-C  integrated sound pressure
level rounded to the nearest 0.2 dB.  Three R-C integration periods for the filters are provided in
•the analyzer, referred to by the manufacturer as "sine", "fast random" and  "slow random",
corresponding to nominally 0.2 second, 2.0   second and 20 second integration times.  In the first two
modes, the integration time constant is varied with frequency at low frequencies to maintain
confidence levels of the same order of magnitude.  For direct display of  noise data extending to low
frequencies, the "slow random" mode, because of its long integration time,  should be selected in order
to provide data with maximum precision.  In order to obtain data which ore  not affected by startup
transients, it is necessary to wait a period of 5 time constants after presenting the signal to the
analyzer, prior to recording data.  This implies that, per measurement, a  . tal observation period of
120 to lUo seconds should be aljowed for noise signals.  Our measurement  i.rogram included as many as
175 measurements per source, which would require about seven hours of observation time to complete.
This situation forced the evaluation of alternate methods.

     After some experimentation, the procedure finally selected involved  using the "sine" time
constant and summing repetitive samples (30 samples taken at one second intervals) to obtain an
estimate of the average level.  While performing this procedure, the temporal variance of the signal
was also computed, permitting additional inquiries into the temporal "quality" of the signal.  The

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algorithms used  for  these  computations  were  as  follows:


          p (i)  =  Antilog  (SPL(i)/10)
          	        n

          P     = ^
                                                                                              12.1)
                                      (n-l)(p2)2
        AVG SPL = 10 Log10 (p2)

where     SPL(i)    is  the ith sample of sound pressure level in a band
           2
          p (i)     is  the ith mean-square pressure in the band

          ~2
          p         is  the average mean-square pressure in the band
           2
          s         is  the estimated temporal variance of mean-square pressure  in the band normalized
                    by  the mean—square pressure squared.
          AVG SPL   is the average sound pressure level in the band.
The observation time is thus the number of samples taken times the time between  samples.  Allowing
five seconds (5 time constants at low frequencies) prior to the start of data acquisition gives a
total data acquisition time per measurement point of 35 seconds (considerably below that required by
the "slow random" mode).  Table 1 shows the results of some sampling tests  using electrical pink noise
as a source.  The first line of the table shows the average standard error  of the measured mean
voltage level based on eight determinations of the mean using 30 saiaples per observation.  The second
line shows the pooled estimate of normalized temporal variance (s  eq.  2.1) obtained in seps.ra.te
tests (total number of samples = 2800).  The third line shows the computed  standard error of a
determination of the mean from the temporal variance values using a propagation  of error formulation;
i.e.,
                            n   2
          AVG SPL = 10 Log
          STD ERROR = __,„._.,            _   .
                                                                                              (2.2)
     As might be expected, the standard deviation of levels computed from the mean values rounded to
the nearest 0.1 dB is typically larger than that estimated from the temporal variance of the signal,
since the latter values are known to a higher precision.

     The values of line 3, Table 1.1, represent our current best estimate of the standard error for
the sampling procedure for sound pressure level.  However, because of roundoff error in the display of
sound pressure level, the lower limit for standard error should be taken as 0.1 dB for A-weighted,
linear, and 1.6 kHz through 10 kHz one-third octave band sound pressure levels.

     Ho gain change corrections were made in the instrument system during data acquisition, but rather
the overall system gain was determined from the pistonphone calibration.  The precision of this
calibration is estimated to be +0.1 dB for comparison of relative levels between channels or runs.
                                                  10

-------
                                         TABLE 1.   INSTRUMENTATION DATA
1.1.  Sampling Procedure Evaluation (see
      Pink Noise Excitation, "Sine" Time
      Eight Repetitions
text,  Section 2.2.U)
Constant, 30 Samples, 1 sec. apart.
Frequency/
Weighting
Standard error
of mean
Value (dB)
Mean Value of
Normalized
Temporal
Variance
(2800 samples)
Computed
Standard error
12.5 16
A-wt. Lin. 1*00 500

.25 .32
.05 .07 .18 .l!*



.11 .11
.0028 .010 .01*0 .031


from Mean Value ! .25 .25
of Variance (dB)i .01*2 .078 .16 Tit
20 25 31.5
630 800 1000

.25 -llO .21
.11 aU .11



ao .090 .o8i*
.027 .023 .016


_.25_ .21. .23
.13 .12 .10
<*0 50
1250 1600

.21 .1*0
.11 .10



.082 .09!*
.013 .011


.23 .21*
.10 .090
2000

.18
.11



.077
.0087


.22
.075
80
2500

.18
.11



.078
.0090


.075
100
3150

.28
.11



.079
.0065


.22
.063
1)000

• 25
.11



.090
.001*7


.05!*
160
5000

.18
.10



.091
.001*2


.21*
.051
200
6300

.21
.10



.085
.0030


^23
.01*3
250
8000

.25
.10



.068
.0029


.21
.01*2
10000

.18
.10



.058
.0220


.035
1.2.   Frequency Response Corrections
Factor/Frequency  A-vt.  Lin

System Frequency
Response
Correction (dB)

Microphone plus
System Frequency
Response Corrections
(1500 Hz - 10 kHz)
12.5 16
. 1*00 500
-.8 .3
-a -.2
20
630
7
0
25
800
1
.?
31.5
1000
2
__
1*0 50 63
1250 1600 2000
722

80
2500
g
_
100
3150
.,

125
1*000
u
— —
160
5000


200
6300

—
250
8000
0

315
10000
-1 0

     Channel 1
     Channel 2
     Channel 3
     Channel 1*
     Channel 5
     Channel 6
     Channel 7
  0
+ .2
  0
+ .1
  0
-.2
+ .1
               • 3
               .1*
               .2
               .1*
               .3
               .1
               .U
.5   -9
.7  1.1
.5   -9
.6  1.0
.6  i.o
.1*   .8
.8  1.2
.3
.5
.5
.6
.2
.8
1.2
1.2
1.3
1.3
1.3
 • 9
1.7
 .U
 .1*
 .5
 .5
 .5
 .1
1.0
                                -1.
  • 9
  .0
- .3
-1.0
- .6
-1.2
- .6
  2.3.5.   Data Reduction and Corrections

      The rav data (consisting of  indicated sound pressure levels) vere corrected  for  four  bias  effects
  vhich included

      1.   Microphone cartridge frequency  response

      2.   Measurement system gain  calibration

      3.   Measurement system (other than  microphone cartridge) frequency
            response

      1».   Influence of background  noise.

      The microphone cartridge frequency  response was determined by measurement of the free field
  normal  incidence frequency response  (vith windscreen in place) in the small UBS anechoic chamber.
  (The frequency response with the  windscreen was significantly different from the  frequency response
  without the windscreen.  See Figure  7.)

      The measurement system gain  calibration was performed separately for each channel for both the
  far field and near field data sets.   The value used was the average of the before and after
  pistonphone calibrations for measurement.  The range of the before and after calibrations  was 0.5  dB
  or less, with a typical value being  0.2  dB or less.
                                                   11

-------
     The measurement system frequency response calibration was made using electrical  pink  noise
excitation separately on each channel (flat spectrum within +. 0.1 dB in 1/10 octave bands).  Thin
calibration, performed at the beginning and end of the measurement series, was found  to  bo identical
between channels within the accuracy of the calibration for the frequency range 12.5  llz-2  kllz.  The
variations of frequency response above 2 kHz were incorporated into the microphone frequency response
correction.  The calibration is based on 1(00 samples per channel, and is accurate to  within +0.1 dB.
Table 1.2 provides the frequency response calibrations used.                               ~

     Correction for the influence of background noise was made more difficult by the  fact  that values
could not be simply deleted if in error, because of programming difficulties created  in  sound power
level computations.  As a result, the measured data were corrected and coded for validity  according to
the following scheme.  The background noise used is the average of the before and after  measurements.
     Difference between
     signal and
     background (dB)
        >20

       20-3.0


       2.9-0.0

         <0
                       Correction
                        Hone

                      Standard Correction
                      to nearest 0.1 dB

                     SPL = SPL -3dB

                       SPL = 0
                                                         Code
None

Hone
   «  For cases where the band level equaled the lower limit of the display scale, the level was  also
set to zero.  Use of the coding will be further discussed under sound power level computations.

     There was a need for a further correction to the near field data, due to the fact that the
frequency response of a microphone to a sound pressure field at high frequencies is a function of  the
angle of incidence of the sound field.  This is of little or no significance in the far field
measurement since the angle subtended by the source at the measurement position is relatively small
(half angle on the order of 15° or less) so that, for microphones directed at the source,  incidence
perpendicular to the diaphragm can be assumed.

     For the near field case, the microphone is not necessarily directed at the principal  source,  nor
is the angle subtended by the source necessarily small.  An expression which is appropriate for
determining the true pressure if the distribution of intensity as a function of angle is known is
Ptrue ~ p-
                              1(0.») Sine dp d »
                                                                                               (2.3)
where l(0,)  is the scalar magnitude of the intensity at the angle 6,$ from the normal to the
              microphone.

     g(0)  is the microphone fractional response for plane wave incidence at the frequency f and
           angle 0 from the normal to the microphone (assumed to be symmetric about the normal to
           the microphone), defined by the free field response of the microphone to a plane wave
           at the angle -0.

     M(9)  is the free field response of the microphone at the angle 0.

Figure 7 provides a plot of -20 log g(0) versus frequency.  Two of the curves are manufacturer's data
for the microphone cartridge with protecting grid and no windscreen.  Two curves represent data
measured at NBS on one of the microphones with a windscreen.

     While it would be desirable to make a relatively exact correction for this effect, it is also
clear that this requires much more detailed information than is available (such as distribution of
intensity with angle as a function of frequency at each near-field microphone position for each
compressor, and microphone directiona.1 characteristics throughout the range of angles).  In lieu of
this exact correction, and in order to place bounds on this error, let us try to find an approximate
correction which might be applicable (in an average sense) to all the compressor data.  One possible
form for such a correction is to postulate a correction at an "equivalent angle of incidence" for the
intensity, which is the same on the average for all microphones, defined by:
                                                12

-------
                        jfJl(0,»).SinG dO
                                      SinO' dO
                                                    (Averaged over near field
                                                    microphone position, sources
                                                    and frequency)
                                                    ip      o
Under the assumptions of small angle (such that  sin X = X ), spherical source and measurement surface
shape,  uniform distribution of 1(0,) over solid angle subtended by the source, microphone directed at
the  center of the source, and a weighting function of the form g(0) = l/(l-(ka/3)sintO)  (a=microphonc
radius),  which fits the data of Figure 7  up to 10 kHz within 10/5,  it can be shown that .
                                 ee-ev  2

where   0'   is the half-angle subtended by the  source.
                                                                                         (2.5)
      Since the average linear dimensions  (£,w,2h)  of the sources are in the range of 2 to 2.5 m the
 subtended half-angle is in the range
      arctan
              -
                     <_ Q <_ arctan

                 1*5° <_ 6 <_  55°

                 30° <_ 0  <_  ltO°
    o
    CVJ
 6.0


 5.0


 4.0


 3.0


 2.0


 1.0


  0


-1.0
      S3
                          J	L
                1Z5
                                     MANUFACTURERS DATA 30° WITH PROTECTING GRID
                                     MANUFACTURERS DATA 60° WITH PROTECTING GRID
                                     NBSMEASURED DATA 45°-WITH PROTECTING GRID
                                     AND WIND SCREEN
                                     NBS MEASURED DATA 0°- WITH PROTECTING GRID
                                     AND WIND SCREEN
                               lit   I   1
I	
                                                                                        I   I   i    I
                          250
                                     SOD
                                                         Ik

                                                    FREQUENCY. Hz
                                                                   2k
                                                                             4k
                                                                                       8k
                                                                                                 16k
Figure 7  Microphone correction factor (Type l»ll»5 cartridge)
                                                   13

-------
Thus when comparing near and far field sound power level data we urge  that the near-field data be
corrected by the amount shown in Fipure 7 using the curve for 0=30°.   This correction will not be
applied to the data as presented as sound power data on an individual  machine.

     In passing, we note that using the same figures for a 7 metre microphone position, we find

                               Ge(far-field) < 7°

and using the analytic form of g(o) given above

                               -20 Log g(0e) £ 0,1 dB

throughout the frequency range of interest.

     We further note that this problem can be minimized by using a smaller microphone.  With a
half-inch microphone, for instance, the curves for g(0) are shifted one octave higher in frequency, so
that the estimated value of the correction would be less than about 1.0 dB at the highest test
frequency.  Unfortunately, such microphones (with dehumidifiers) were  unavailable during these tests.

                                2.U.  Description of Compressor Sample

     Table 2 provides descriptions of the pertinent parameters of the  individual sources tested.

     In terms of the relevant acoustic parameters, the sample was intended to complement tests by
others[l4].  The total compressor sample (including these and other tests) is a sample reflecting
several factors according to current economic data on the industry as  previously compiled!?].  The
factors vhich determined the relative number of compressors in the sample vere as follows:

     a) Manufacturer:  weighted by estimated share of air compressor market.

     b) Compressor type:  weighted by estimated number of Units produced.

     c) Compressor size and power source:  weighted according to estimated number of units produced in
     each of five ranges:

          1.  gas, 75-121* cfm

          2.  gas, 125-25C cfm

          3.  diesel, 125-2^9 cfm

          1*.  diesel, 250-500 cfm

          5.  diesel, over 500 cfm.

Our portion of the sample consisted of smaller size machines which were more readily transportable to
a common test site while other tests on larger machines were more conveniently tested at the site of
manufacture.

     The test sample has the following parameters.

     a) A total of 17 compressors.

     b) Three reciprocating compressors of capacity 100-200 cfm — one gasoline-powered engine, two
     diesel-powered, none quieted.

     c) Seven rotary screw compressors of capacity 85-185 cfm — five  gasoline-powered, two diesel
     powered, four quieted.

     d) Seven rotary vans compressors of capacity 125-900 cfm — three gasoline-powered, four diesel
     powered, four quieted.

     e) Seven manufacturers represented; nine gasoline engine powered; eight diesel-powered; eight
     standard, while nine were quieted by the manufacturer; total capacity range 85-900 cfm.

All compressors were obtained through rental in the Washington, D. C.   metropolitan area, and were
tested as received.  Age of the machines varied from new to 1UOO hours, with most in the range of less
than 500 hours.  No special preparation by the manufacturer was nade that we are aware of.
                                                 Ill

-------
                                     TABLE 2.   DESCRIPTION OF SOUBCES
Test
No.





1
2
3
1»
5
6
7
8
9
10
11
12
13
ll»

15
16
17
18

19



Nominal Com- ;Type*
pressor /Vol-
ume Flow/

Rated
Pressure '
(cfm/psi) 1
|
185/100 S
150/100
160/100
150/100
200/100
100/iOO
160/100
125/100
365/100
900/125
100/100
175/100
175/100
185/100

175/100
85/100
150/100
R
V
S
R
R
V
V
V
Engine
Type**/
No. of
Cyl.



GA
G/2
D/HR
DA
DA
D/2
GA
GA
DA
V |D/8
S GA
S GA
S
S

S
DA
DA

Size of (Engine
Enclosure Speed
(L.W.H in (rpm)
metres )

1




1.97,1.28,1.14 2350
1.73,177,1.1*7
2. 07,1- Ht ,1.77
1.71,1. 2>4, l.Uc
1.83, .98, 1.50
1.52, .67, 1.1*2
2.16,1.28,1.76
1.78.1.30,1.85
3. 66, 1.82, 2. lit
1*. 29, 2. 19, 2. 51
1.78,1.22,1.37
2.70,1.29,1.1*3
2.70,1.29,1.1*3
2.70,1.29,1.!*3

GA 1-99, 1.27,1- >*5
2300
2350
1950
1750
1650
2250
1850
1800
2100
2150
Engine] Cooling
Firing] Fan
Freq.
(Hz)



78
38
NRtt
130
116
55
75
62
120
280
72
2300 Ik
2300 '153
2200 73

2150 72
S !GA !l. 96,1. 10,1.3V 2000 66
S
NAt !NA

HA



NA


I
GA -1.93,1.2li,1.36' 3000 100
HA .35 dia x .7 1750 NA


NA r 50, .50,1. 25 NA NA
i





i
Blade
Passage
Freq.
(Hz)

Est.2UO
Est.2llO
300
300
210
150
225
250
Usage 1 Stan- Notes
at
Start
dard

Vs.
of Quieted
Test '•
(Hours)

HR S
1011 S
NR Q
5i*7 S
6.1
NR
2.3
1U.5
1267 1,11.8
307i 1.0
250 :ii*i*o
S
S
Q




... .,..,.-,— ,—,_.-.-— — ,, ., . — .
1* cyl. in-line block


8 cyl. V-8 block
1* cyl. in-line block

Q
Q '20 blade fan g 3800 rpm
Q
S
235 1086 Q
250
NR Q
280 776
i
250
230
S

398 s
1300 S
300 297 ; S
NR ' 	 i —




Governed at less than
rated speed



Broad band reference
(sound source
NA
1


—


.25 m dia. loudspeaker
(tone source) center-
line of speaker 1 m
above ground
• R=Reciprocating compressor
  S=Rotary  screw compressor
  V=Rotary  vane compressor
»» G=Gasoline  engine
   D=Diesel  engine
tNA=Not  applicable  ttNR=Not  recorded
                                       2.5.  Compressor Operation

      The major problems  associated with  compressor  operation  for these tests were providing for
  acoustically  controlled  discharge of the compressed air, to assure insignificant contribution to the
  measured noise,  and ensuring constancy of operation at rated  capacity.

      Discharge air from  the  compressor was  fed through a 30 m length of commercial high pressure
  rubber hose to a commercial  automobile muffler, where it was  discharged to the atmosphere.  The
  muffler was placed in the  creek bed  (see Figure 2)  so that the bank of the creek would provide
  shielding  of  the discharge noise from the test site.  Measurements of octave band sound pressure
  levels near the  discharge  were made  for  each  test,  and extrapolations of the measured levels, assuming
  hemispherical spreading  and  ignoring shielding, indicated that the discharge noise from the muffler
  vas  more than 10'dB below  the compressor noise at all measurement locations.  In some cases more than
  one  hose line and silencer had to be used to  accommodate the  compressor volume flow.  For the two
  larger machines  (tests 9 and 10) a blow-down  silencer of undetermined manufacture (obtained from the
  rental source),  and large  diameter hose  was used in place of  the above air discharge silencing
  arrangement.

      The operating point for the test was the condition of the compressor supplying rated flow.  This
  condition  occurs when the  compressor is  operated at rated speed and pressure.  Establishment of this
  point  was  made simpler by  the fact that  most  of the compressors had an engine speed governor which
  operated on the  difference between receiving  tank pressure and rated pressure.  Rated speed was thus
  obtained by throttling the flow of discharge  air until the compressor held a constant receiving tank
  pressure near rated pressure (-as indicated  on the compressor  air pressure gauge) and verifying that
  the  engine vas operating at  rated speed  (as measured by an independent tachometer).  At this point, a
  reduction  in  air flow will be followed by a reduction in engine speed (for a proportional controller),
  while  an increase in air flow will be  followed by a reduction in receiving tank pressure.  This
  operating  point  was easily established once the compressor had been operated for 15-20 minutes and
  conditions approached a  thermal steady-state.

      Once  at  this point, engine speed could be monitored within about ±50 rpm by inspection of the
  displayed  noise  spectrum at  bands near the  engine  firing rate frequency.  Since the firing rate tone

                                                  15

-------
typically excited one or the other of the  adjacent bands in addition to the band containing the tone,
the difference in decibels between these tvo bands could "be taken as a sensitive indicator of firing
rate frequency.   This procedure can not be used if the  spectrum of broad band noise is vithin HK1B or
so of the indicated tone level in each band.   In this case, engine speed was monitored audibly, with
frequent tachometer checks.

                     2.6.  Measurement Locations and A-Weighted Sound Level Data

2.6.1.  Far Field Measurements

     The far field sound pressure level data vere taken using the array shown in Figure 5 (also
visible in Figure 2a).  The seven microphones  were located on nominal one-half metre long standoffs
from a semi-circular arc constructed of steel  pipe and  tubing.  The arc was supported from above by
two cables from the arc center to poles located on the  east arid west edge of the test pad.  The ends
of the arc were supported on casters to facilitate rotation.  Positioning was accomplished by pins at
the end of the arc which fit into holes drilled in the  concrete test pad.  The maximum radia3
positioning error of a microphone in the array is estimated from sample measurements of positions; to
be less than + 0.1 m (1.14/5)  including all  array positioning effects such as changing arc shape from
change in proportion of weight supported by overhead cables.  Angular positioning error is estimated
to be less than +1° in both azirrmthal and  polar angles. In terms of inverse square spreading, the
radial error translates into a possible error  in sound  pressure level estimation of less than +_ 0.1
dB, per observation.  Since the principal  source of radial error arises from change of shape of the
arc — which leads to positive errors at some  positions vhile there are negative errors at other
positions — this source of error is believed  to average out in the estimate of power rather than
produce a systematic bias.  The angular positioning error leads to random sampling on the
hemispherical surface (i.e., imprecision in directivity) as opposed to a systematic bias in sound
power determination

     In addition to these array data, octave-band sound pressure level data vere also taken using a
hand-held sound level raeter employing a modified form of the present industry methodology[6].  The
intent of the NBS Far Field methodology initially recommended to EPA was to provide an upper bound
estimate of sound power level based on measurements made at six locations.  The six locations include:

     1.  Four positions perpendicular to the center of  each side of the
     compressor at a distance of 7 metres  from the jsr.ter of the compressor (data taken at the
     elevation in the range 0.8 to 1.6 m which yields the highest A-veighted sound level).

     2.  One location at an elevation of 1 metre above  the ground, on the 7 metre radius circle
     centered on the machine, at the location  giving the maximum A-weighted sound level.

     3.  One location directly above the center of the  compressor, at a height of seven metres above
     the gound plane (data from microphone four of the  array vas used for this location).

     The data, using this procedure, vere  taken in the  same time interval as the data from the
far-field array, and are reported here as  "Far-Field Methodology" data.  Far-field array and
methodology data were recorded for the seventeen compressors, and also tvo known sources, to
investigate the effectiveness of the far field test procedures for these sources.  The first of these
was a broad band "reference sound source"  consisting of an electric motor-driven centrifugal fan with
cylindrical symmetry, which is nominally omnidirectional.  The second source was a 0.25 m diameter
loudspeaker, mounted in a 0.^* m cubical sealed baffle.   The baffle was located at the center of the
test pad vith the loudspeaker axis horizontal, 1 m above the test pad, pointed at approximately 220
degrees from north.  The speaker was driven in different tests with tones of 500 Hz, 1 kHz and 2 kHz.
The principal purpose of this test vas -.to  give example  data of the measurement problem associated vith
tones.

     A tabulation of the A-weighted far-field  sound level data is given in Tables 3.1 to 3.19-  The
"Far-Field Data" are given in tabular form in  the  form  of a directivity pattern, with columns
corresponding to azimuthal angle from Oc to 330° from north  (compressors were aligned on the test pad
vith the tov bar pointing north and sides  oriented in the north, east, south and west directions).
The "Far-Field Methodology" data are given in  tabular form underneath these data.  Also given is the
A-veighted sound pover level computed from the far-field and "far-field methodology" data, for
reference purposes (see Section 3 for calculation procedures).  The sound level corresponding to the
average mean square pressure over the hemisphere (frequently referred to as the "energy average") may
be calculated from the sound power level according to:

                           I, (r) = Ly - 10 Log 2irr2

                                —12
     Ly is pover level, dB re 10   vatt          _
     L  is the sound pressure level, dB re 2.10  pascal
     r is the radius of the hemisphere, metres
     A nominal value of impedence equal to UOO mks rayls Is assumed.

                                                16

-------
At seven metre radius, the average A-weighted sound level  thus  is


                           LpA(7m) =LWA- 2l4'9dB
2.6.2.  Near Field Measurements

     The near-field data were taken using seven microphone channels with  nix of the microphone;;
mounted on tripods, and the seventh suspended from a "skyhook"  formed by  the support cable:;  ur.ed to
position the far-field microphone array.   Figure 6 shows representative measurement positions on a
measurement surface.  The microphone positions were determined  according  to the following rules.

     1.  The measurement surface was a rectangular box of  dimensions
     L x W x H where L = !H-2, W = w+2, H  = h+1 and where H, w and h are the length width and height of
     the compressor excluding tow bar, tires and fenders,  and other small projections with linear
     dimensions less than 0.5 metres (such ss exhaust pipes, etc.).  The  four vertical plane surfaces
     were located at distances of +L/2 and +W/2 from the geometric center of the  compressor, and
     perpendicular to the longitudinal and lateral centerlines. The horizontal plane surface was
     located at the distance H above the  reflecting plane. These surfaces are nominally 1 metre from
     the surface of a compressor with a rectangular enclosure.

     2.  The microphone positions on the  measurement surface were located on a 1  x 1 metre square
     grid.  The grids were located on the vertical sides so that a measurement position was  on the
     center of each side at a height of 1.5 metres.  This  grid  location yields measurements  positions
     at heights of 0.5, 1.5, 2.5 m, above the ground plane, spaced 1 m apart In either direction from
     the center of that side.  The grid on the horizontal  measurement surface was centered in the
     center of that surface.  For all compressors the measurement positions near  the engine  exhaust
     were displaced along a grid line to  the closest point 1 metre from the end of the exhaust pipe.

     3.  Microphones were oriented with the plane of the microphone diaphragm in  the plane of the
     measurement surface.

     U.  Near edges or corners where pairs of measurement  locations from  adjacent surfaces were less
     than 0.25 m apart, one of the pair (usually on the vertical surface) was deleted.

     The rectangular measurement surface  was chosen because it  was the only surface being considered
by ISO working groups on sound power measurement standards, at  the time of the tests (May-July, 197^0.


     The lower half of Tables 3.1-3.18 titled "near-field  data  presentation" presents the A-weiehted
sound level data from these tests in a format which facilitates relating  level and position. Note
that levels measured closest to the ground plane are furthest from the center of  the table.
                                                 17

-------
           Test Number 1
            Table 3.1

A-WEIGHTED SOUND PRESSURE LEVEL DATA

     Compressor Output: 185 cfra
     Engine/Compressor Type: Rotary  screw,
     Compressor Size:  1.97x1.28x1.4m
»**  FAR FIELD  DATA  17  HETRE RADIUS)
                                                         A WEIGHTED  LEVEL IOBI
ANGULAR
HIC HEIGHT
(METRFSI
.575
1.725
2.875
4.025
5.175
6.375
7.000

HIC HEIGHT
(METRES 1
0-8-1.6
0.8-1.6
0. 8-1. 6
0.8-1.6
7.0
1.0
ORlENTATlON(OtG) 0 30
MUM ELEVATION
IOEG)
7 4.7 80.4 81.5
1 14.4 78.4 79.3
6 24.2 78.8 79.9
2 35.2 79. 5 80. 0
5 47.6 78.2 80=2
3 65.7 77.3 77.6
4 90.0 76.2 76.5
FAR FIELD METHODOLOGY DATA
POSITION LEVEL
(OB)
N 80.5
E 83.0
S 82.5
M 79.0
OVERHEAD 76.2 (AVG.
MAX 84.5
60

82.8
79.8
79.4
80.2
79.2
78.0
76.4







OF HIC4

90

120

80.6 81.0
80.9 80.8
79.4 80.0
79.5 80.2
79.1 79.?
78.4 79.5
76.6 76.1







ABOVE)










150

84.9
82.4
83.0
82.5
82. 1
80.7
76.2









180

83.0
81.5
79.9
PI. 3
77.9
80.3
75.8









210

84.5
82.9
82.7
83.1
82.2
80.7
76.6









240

82.4
80.6
81.0
81.5
80.7
78.4
76.0









270

78.8
77.2
77.8
78.4
77.9
77.4
75.9









300

79.
77.
76.
77.
76.
7o.
76.











0
S
9
2
4
5
0









330

80. 3
79.4
78. 1
79.1
77.2
77.0
76.5









 **  A  WEIGHTED SOUND POWER  LEVEL = 105.l DB RE 1 PlCOWATT  (BASED ON 73 POINTS)
      JULIAN DAY  144
                          TEST
                                      NEAR
                               NUMBER 1
                                MIC
                               HEIGHT
                                      2M
                                       H
                                           FIELD  DATA PRESENTATION
                       *NORTH  SIDE*
                     1M   CENTER   IM    2M
                      U    LINE      E     E
 *WEST SIDE*

       MIC
      HEIGHT   O.S    1.5

  3M NORTH  *»*»*  ***»«

  ?H NORTH  *****  *****

  1M NORTH    89.1   83.1

 CENTERLINE   88.4   85.3

  1M SOUTH    89.3   86.6

  2M SOUTH  *****  *****

  3M SOUTH  *****  *****
 .5  *****  90.8   91.4  90.'7 *****

X.5  *****  86.3   86.4  89.6 *****

2.5  ***** *****  ***** ***** *****

3.5  ***** *****  ***** ***** *****

                  *TOP*
2.5
*****
*****
*****
*****
*****
*****
*****
3.5
*****
*****
*****
*****
*****
*****
*****


*****
85
90
83
86
89
.2
.5
.7
.4
.3
*****


*****
84.
62.
82.
85.
90.
5
•t
0
3
4
*****

*****
85.3
84.5
83.8
87.3
89.3
*****
                                                                  EAST  SIDE*


                                                      3.5   2.5   1.5    0.5

                                                    ***** ***** ***** *****

                                                    ***** ***** ***** *****

                                                    ***** *****  87.2   92.1

                                                    ***** *****  88.2   92.1

                                                    ***** *****  88.0   91.0

                                                    ***** ***** ***** *****

                                                    ***** ***** ***** *****
                                 3.5  ***** ***** *****  ***** *****

                                 2.5  ***** ***** *****  ***** *****

                                 1.5  *****  90.6  92.3   93.2 *****

                                  .5  *****  93.4  95.1   94.7 *****

                                               SOUTH  SIDE*

-------
         Test Mumber 2
                                Table 3.2

                   A-WEIGHTED SOUND PRESSURE LEVtL DATA

                         Compressor Output:  150 cfm
                         Kiiglne/Conpr<-s3or Type: Reciprocating ,  Gas, Standard
                         Compressor Sii.r-:  1. 73x. 77x1.47m
*«*  FA«  FIELD DATA (7 METHE  RAOIUS1
                                                          A WEIGHTED Lt VtL  CM I
ANGULAR
MIC HEIGHT
(METRES)
.575
1. 725
2.H75
4.025
5. 175
6.375
7.000
UKIFNTATIONIDEG) 0
NUM ELEVATION

7
1
6
2
5
3
4
IDEGl
4.7
14.*
24.2
35.2
47.6
65.7
90.0

83.9
83.5
84.3
85.4
06.3
87.0
86.1
30

85.2
b',.o
d5.0
86.4
t>6.7
65.7
06.1
60

85.5
b5.2
85.2
85.9
85.9
85.8
65.9
90

04. 9
84. 5
84.4
85.6
85.8
85.3
35.2
120

87.0
85. B
85.6
H6. 1
86.3
65.7
86.3
150

A a. 5
37. 1
Ofa.b
87. 1
87.0
B6.U
86.6
IbO

88.3
d7. 7
67 .3
07. 7
87.1
B6. 5
86.2
210

87.5
06. 7
B6.1
86.V
86.6
8o.3
86. I
240

35.7
t)4. t.
d4.b
O.O
(4V(i. OF MIC4  ABOVE!
** A  WMGHTED SOUND POWER Iff Vt'L-llU. B 03  RE  I  PICOkATl  IbAShD ON 73 POINTS)
      JULIAN DAY 155
 *HEST  SIDE*

       MIC
      HEIGHT  0.5    1.5

  3M NORTH  ***** *****

  2H NuRTH  ***** *****

  1H NllKTH   95.8   93.6

•CENTERLINE  95.1   94.3

  1M SOUTH   94.9   94.1

  2M SOUTH  ***** *****

  3M SOUTH  ***** *****
                                      NEAR
                          TEST NUMBER 2
                                    2M
                                     W
                              MIC
                             HEIGHT

                               .5  *****

                              1.5  *****

                              2.5  *****

                              3.5  *****


                         2.5    3.5

                       «»**»  *****

                       *****  *****

                        93.7  *****

                        94.2  *****

                        94.4  *****

                       *****  *****

                       *****  *****
                                            FIELD DATA PRESENTATION
                                               *N
-------
                                   T»ble 3.3

                      A-UDIOHTCD SOUND PRESSURE LEVEL DATA
         Te«t Nuttber 3       Compreunor Output:  160 cfn
                            Engine/Conpreeuor Type: Rotary van*.  Diesel, Quietmd
                            Compressor Gize: 2.07x1.14x1.77m
                     17  MCt«f-
T F »1 " f
A'I(,ULA*
»( T«t S)
.575
1 . 7?S

4. i>?5
5. 1 '!>
s« 175
7. 00 J
O^IENIATIUNUHGI 0
Mft ttLVATlUN

7
I

2
5
3

(lli-GI
4.7
14.4
?4.2
33.2
47.0
65.7
»0.0

82.7
81. 7
U1.4
du.B
83. 2
64. 2

30

82.2
82.3
01. V
7o.7
82.7

d3.1
,0

82.1
81.7
80.9
01 ,0
82.5

81.0
90

rtO. 7
80.2
80. 3
dO.9
«0.9
f. 1.5
42.4
A HEIGHT tO LfcVEl (OB)
120 150 180 210 240

82.3
81.2
bl.8
82.0
81.9
61. 0
82. U

M?.8
82.8
83.2
G2.2
82.7
H I. 5
82.3

83.4
d2« 5
83.7
80. 0
83.0
81.5
6i.lt

81. t>
82.2
82.6
B2.3
8J.1
H?.rt
82. 8

82. 4
60.7
02.3
U2.2
d3.2
6\. <»
J2.8
270

81.7
80.7
81.3
80.7
til. 7
81.4
82.8
3JO

•Jl. 3
79.5
30. d
BJ. 1
d2. 1
il. J
82.3
i )0

u).4
7 i.4
b 1 .0
aa. '»
u2.a
6 1 . b
o2.2
           FAK  Flllli MfcTMIIOOLOGY  "ATA
«1C HH&MT   POSITION   LfVFL
 (MFTfFS I                 (Oil)

  0.8-1.6       F
  0 . U- 1 . o       S
  J.li-1.6       W
7.0
1.0
            OVftltAO
              *AX
                          82.0
                          84.0
                          32.0
                          «2.H
                          84.0
                                   (AVG. UP MIC4  AJOVF)
•* A KFlOHTtO SOUMO POKCR LtVet^U^.8 Jrt <.2   68.9 *****        *****

  If,  NuhTH   92.2  90.0   88.2 *****         99.6

 CtUTbRLlNE  92.2  90.8  '89.4 *****         90.6

  1M  SOUTH   92.9  VI.e.   90.4 *****         91.2

  2M  SOUTH   89.8  9J.O   63.6 *****        *****

  3M  SOUTH  ***** **»«*  ***** *****        *****
                                                      SIDt*
                                                  CCNTER  IM     2M
                                                   1 i Nt     F      E
                                                   93.6  91.5  *****

                                                   90.6  91.1  *****

                                                   89.9  88.3  *****

                                                  ***** *****  *****

                                                  *T(JP*


                                                  ***** *****

                                                  ***** *****

                                                   92'U  89.9

                                                   S3.6  90.5

                                                   91.8  89.5

                                                  ***** *****

                                                  ***** *****
                                                                                       EAST S106*


                                                                          3.5    2.5   l.i   O.b

                                                                        *****  4**** ***** *****

                                                                        *»*«*   68.4  87.J  9'J.l

                                                                        *****   bb.6  09.9  90.6

                                                                        *****   40.0  91.1  91.5

                                                                        *****   69.0  91.4  93.4

                                                                        *****   87.8  39.*  89.8

                                                                        *«***  ***«« ***** *****
                                ).^  *****  ***** ***** *****  *****

                                2.5  *****   (id.7  89.3   38.6  *****

                                |.5  *****   <»1.4  91.0   9O.4  *****

                                 ,5  *****   tl.t  
-------
             Test Number  1<
            Table  3.>i

A-VEICHTED SOUND PRESSURE LEVEL DATA

     Compressor Output: 150 cfm
     Enginc/CoC'preBcor Type: Rotary  screw, Diesel, Standard
     Compressor Size:  1.71x1.24x1.40m
***"  FAR FIELD  DATA (7 METRE RADIUS)
                                                          A  ViF.lGHTEO LEVEL
ANG.UIAR
MIC HEIGHT
(METRES)
.575
1.725
2.875
4.025
i. 175
6.375
7.000
ORIENTATIONIOEG! 0 30
.MUM ELEVATION
(DEG)
7 4.7
I 14.4
6 24. 2
2 35.2
5 47.6
3 65.7
4 90. 0

87.
87.
87.
B9.
89.
89.
86.
FAR FIELD METHODOLOGY
MIC HEIGHT
(METRES)
0.8-1.6
0.6-1.6
0.8-1.6
0.8-1.6
7.0
1.0
POSITION

N
E
S
W
OVERHEAD
MAX
LEVEL
(OB)
89.5
89.0
90.5
K8.5
86.9
92.0

6 8G.6
6 D9.I.
9 68.1
3 89.7
3 69.7
I 89.5
<* dT.L
DATA






(AVG. UF

60

87.8
87.5
67. 4
87.5
aa.a
88.3
84.8







MIC4

90

87.0
87.2
85.9
67.7
87.5
87. 8
86.9







AUOVE)

120

88.3
87.5
87.1
03. 1
88.5
87.7
87.1









150

89.7
09. 8
38.7
69. 1
89.5
48.2
86.9









180

89.1
90.0
89.6
90.0
89.8
89. 7
87.1









210

88.5
86.8
83.9
BS. 4
89.7
66.5
8fa.5









240

30.4
87.4
87.1
B7. 6
U7.7
37.9
87. 1









270 300 330

66.2 36. B ud.3
86.2 8b.4 U3.7.
85.5 B7. 3 08.7
a 7. > 07.6 a9.<.
30.9 t>7. 2 33. <.
37.4 ' 37.7 33.9
«6.9 86. 7 tt&. 7









** * WEIGHTED  SUUNO POWER  LEVELM13.1  08 Rh 1 PICOWATT  (BASED ON 72 POINTS)
     JULIAN  DAY 157
*WF.ST SIDE*

      MIC
     HEIGHT   0.5   1.5

 3M NORTH  ***** *****

 2H NORTH  ***** *****

 1M NORTH    9B.2  98.7

CtNTtRLiNE   95.0  77.<>

 1M SOUTH    96.8  97.0

 2M SUUTH  ***** *****

 3M SOUTH  ***** *****
                                      NEAR
                          TEST  NUMBER  4
                                      2M
                                       H
                                MIC
                              HEIGHT

                                 .5   *****

                                1.5   *****

                                2.5   *****

                                3.5   *****
                                           FIELD DATA  PRESENTATION
                    *NORTH  SIDE*
                  1M   CENTER   1M    2M
                   W    LINE      E      E
                  84.1  98.3   99.2  *****

                  98.4  99.4  100.1  *****

                 ***** *****  *****  *****

                 ***** *****  *****  *****

                       • TOP*
2.5
*****
*****
*****
*****
*****
*****
*****
3.5
*****
*****
*****
*****
*****
*****
*****

*****
*****
96.4
96. b
97.0
*****
*****

*****
*****
100.6
102.1
100.3
*****
*****

*****
*****
98.6
98.8
97.7
*****
*****
               EAST SIDE*


  3.5   2.5    1.5   0.5

***** *****  ***** ****t

***** *****  ***** *****

***** *****   98.7  98.2

***** *****   V8.3  96.1

***** *****   98.1  97.4

***** *****  ***** *****

***** *****  ***** *****
                                J.S   ***** ***** **<.**  ***** *****

                                2.5   ***** ***** *****  ***** *****

                                1.5   *****  98.7 101.0   99.7 *****

                                 .5   *****  99.4 102.3   99.0 *****

                                              SOUTH SIDE*

-------
          Test Number 5
            Table 3.5

A-WEIGHTED SOUND PRESSURE LEVEL DATA

     Compressor Output:  200 cfm
     Engine/Conpressor Type: Reciprocating, Diesel, Standard
     Compressor Size: 1.83x.98x1.50m
***  FAR FIELD DATA  (7  METRE  RADIUS)
                                                         A  WEIGHTED LEVEL (DB)
ANGULAR
MIC HEIGHT
(MFTKESI
.575
1.72S
2.875
4.025
5.175
6.375
7.000

MIC HEIGHT
(MFTK6S)
0.8-1.6
0.8-1.6
0.8-1.6
O.R-1.6
•7.0
1.0
URIENTATION(DEG) 0 30
NUM ELEVATION
(OEG)
7 4.7 85.3 85.7
1 14.4 63.4 64. b
6 24.2 83.0 84.1
2 35.2 32.7 85.7
5 47.6 82.2 b3.7
3 65.7 82.9 83.1
4 90.0 80.9 81.4
FAR FIELD METHODOLOGY DATA
POSITION LEVEL
(OB)
N 85.5
E 89.0
S 87.0
H 85.5
OVERHEAD 80.9 (AVG.
MAX S7.0
60


64.1
B2.9
63.0
64. 3
84.0
B2.4
81. 2







OF MIC4

90


<)4.b
33.5
83.4
83. 3
83.6
82. b
81.0







AttOVb)

120


05.8
64.7
83.8
84.2
83.7
82.3
81.3









150


86.7
83.7
84.2
85.3
64.0
83. 3
81.0









180


86. 0
84.9
85.0
85.4
83.6
83. 1
01.1









210


85.4
84.7
85.3
84.5
84.5
63.2
80.9









240


86.4
64. 1
03. I
84.3
83.5
82.3
80.6









270


84.2
83.6
32.7
82. A
62.3
82.3
8J.6









300


85.1
83.6
83.3
83. 7
33.o
31. -i
60.5









330


85.5
d3.7
64. 1
64. J
83.0
bl.5
60.9









** A WEIGHTED  SOUND  POWER LEvEL«ios.9 OB RE i PICOWATT  (BASED UN 73 POINTS)
     JULIAN DAY  162
                         TEST
*WEST SIDE*

      MIC
     HEIGHT  0.5    1.5

 3M NORTH  *****  *****

 2M NORTH    95.0   93.8

 1M NORTH    97.4   94.1

CENTERLINE   94.5   93.3

 1H SOUTH    94.8   94.1

 2M SOUTH    93.5   92.7

 3M SOUTH  *****  *****
   2.5

 *****

  89.9

  89.9

  89.9

  90.2

  91.8

 *****
                                     NEAR
                              NUMBER 5
       2M
        M
 MIC
HEIGHT

  .5  *****

 1.5  *****

 2.5  *****

 3.5  *****


  1.5

*'••>**

*****

*****

*****

*****

*****

*****
                                          FIELD  DATA  PRESENTATION
                                             *NORTH  SIDE*
                                           IM   CENTER  1M    2H
                                            W     LINE      E     E
 95.0  96.1  96.6 *****

 94.0  93.1  93.3 *****

 89.5  89.8  90.0 *****

***** ***** ***** *****

      *TOP*


***** ***** *****

***** ***** *****

 90.5  88.3  90.5

 90.4  89.3  90.4

 90.1  87.7  90.7

***** ***** *****

***** ***** *****
              EAST  SIDE*


  3.5   2.5   1.5    0.5

***** ***** ***** *****

*****  91.3  92.8   94.8

*****  91.0  95.3   96.7

*****  90.9  93.7   96.3

*****  90.7  93.9   96.8

*****  90.4  92.7   94.7

***** ***** ***** *****
                               3.5  *****  *****  ***** ***** *****

                               2.5  *****  90.8   89.2  90.3 *****

                               1.5  *****  93.4   93.7  93.3 *****

                                .5  *****  95.7   95.*  96.2 *****

                                              SOUTH SIDE*

-------
                                   Table 3.6

                       A-WEIOHTED SOUND PRESSURE LEVEL DATA

          Test Number 6       Compressor Output: 100 cfrc
                            Englne/Cotf-preeoor Type:  Reciprocating, Diesel, Standard
                            Conpressor Size:  1.52x.67x1.42m
*»*  FAR  FIELD DATA (7 METRE RADIUS)
                                                         A WEIGHTED LEVEL  ( Ofi I
ANGULAR
MIC HEIGHT
(METRES)
.575
1.725
2.875
4.0?5
5. 175
6.375
7.000
OR1ENTAT10NIDEG) 0
NUM ElEVATIUN
(DEG)
7 4.7
1 14.4
6 24.2
2 35.2
5 47.6
3 65.7
4 90.0

84.
62.
81.
83.
62.
83.
62.
FAR FIELD METHOOOLUGY
MIC HEIGHT
(METRES)
0.8-1.6
0.8-1.6
0.8-1.6
0.8-1.6
7.0
1.0
POSITION

N
E
S
k
OVERHEAD
MAX
LfcVEL

-------
         Teat Dumber 7
            Table 3.7

A-WEIQHTED SOUND PRESSUKE LEVEL DATA

     Compressor Output: 160 cfm
     Engine/Compressor Type: Rotary vans, Gnu,  Quieted
     Compreaeor Sire:  2.10x1.28x1.78»
**•  FAR FIELD  DATA (7 METRE RAD1USI
                                                         A  WEIGHTED LCVEL  (DO)
ANGULAR
MIC HEIGHT
IMtTKES)
.575
1.725
2.875
<>.025
5. 175
6.375
7.000

H!C HEIGHT
J METRES!
0.8-1.6
0.8-1.6
0.8-1.6
0.8-1.6
7.0
1.0
ORlFNTATIONfOEGI 0 30
NUM ELEVATION
(DEGI
7 4.7 81.6 81.4
1 14.4 79.6 81. 2
6 24.2 81.2 82.0
? 35.2 80.2 81. 8
5 47. to S3. 5 82.6
3 65.7 84.3 84.1
4 90.0 85.6 85.5
FAR FIELD METHODOLOGY UATA
POSITION LEVEL
(DB)
N 80.5
E 80.0
S 81.0
W 81.0
OVERHEAD 85.6 IAVG. OF
MAX 82.5
60


8l.il
79.6
81.3
81. 4
83.6
83.3
84.9







MIC4

90


dl.2
79.6
80.6
79.8
83.1

-------
        Test Number 6
            Tatle  3.8

A-WEIGHTED SOUND PRKSSURE LEVEL DATA

     Compressor Output: 125 cfm
     Engine/Compressor Type: Rotary vane, Gas, Quieted
     Compressor Size:  1.78x1.30x1.85m
*»»  FAR FIELD  DATA  17 METRE RADIUS)
                                                         A WEIGHTED  LEVEL  (UDI
ANGULAR
MIC HEIGHT
{METRES )
.575
1.725
2.875
4. 025
5.175
6.375
7.000

MIC HEIGHT
(METRES)
0.8-1.6
0.8-1.6
o.a-1.6
0.8-1.6
7.0
1.0
ORIENTATIUN(DEG) 0 30
MUM ELEVATION
(DEC)
7 4.7 74.5 75.3
1 14.4 75,1 75.6
6 24.2 77.7 77.6
2 35.2 75.4 76.6
5 47.6 79.8 79.6
3 65.7 79.5 79.8
4 99.0 81.9 81.5
FAR FIELD METHODOLOGY DATA
POSITION LEVEL
(OB)
N 76.0
E 79.0
S 79.5
W 77.5
OVERHEAD 81.9 (AVG. OF
MAX 60.5
60


76.5
76.3
77.0
76 ,9
79.2
80.2
81.6







MIC4

90


76.6
75.4
76.7
76.9
78. 1
BO. 6
dl.8







ABOVE)

120


79.3
76.1
77.0
77.9
78.0
80.5
82.0









150


7B.8
77.5
7B.O
79.0
79.2
79.6
82. 1









180


77. V
76.3
77.3
77.6
79.1
78.7
82.0









210


77.1
76.2
76. 5
77.4
79.3
79.2
82.3









240


78. 1
76.4
77. 1
77.9
79.0
80.2
82.0









270


77. 7
76.0
77. 3
78. J
79.6
ao.r
82.0









300


78.2
76.6
77.1
77.0
80.1
81.0
82.2









330


76. B
76.1
77.7
77.1
79.8
80.2
81.6









** A WEIGHTED SOUND POWER LFVEL*103.1  08  RE  1  PICOWATT (BASED  ON  73 POINTS)
      JULIAN DAY 165
*WEST  SIDE*

       MIC
     HEIGHT  0.5   1.5

  3M  NORTH  ***»* *****

  2M  NORTH  ***** *****

  1M  NORTH   86.5  66.2

CENTERLINE  86.0  86.5

  1M  SOUTH   86.3  85.9

  2M  SOUTH  ***** *****

  3M  SOUTH  ***** *****
                                      NEAR
                         TEST  NUMBER  8
                2H
                 H
          MIC
         HEIGHT

           .5  *****

          1.5  *****

          2.5  *****

          3.5  *****


           3.5

         *****

         *****

         *****

         *****

         *****

         *****

         *****
  2.5

*****

*****

 87.9

 88.2

 86.1

*****

*****
                                           FIELD DATA PRESENTATION
                                              *NORTH SIDE*
                                            1M   CEH1ER   SH     2M
                                             M    LINE     E      E
 85.2  86.1   85.7  *****

 85.8  86.2   85.4  *****

 87.8  88.1   87.3  *****

***** ***** *****  *****

      *TOP*


***** ***** *****

***** ***** *****

 89.8  90.8   88.2

 89.4  91.8   89.4

 85.7  66.9   86.3

***** ***** *****

***** ***** *****
              EAST  SIDE*


  3.5   2.5   1.5    0.5

***** ***** ***** *****

***«* ***** ***** *****

*****  86.9   65,9   85.4

*****  07.1   85.6   85.2

*****  85.2   86.0   86.5

***** ***** ***** *****

***** ***** ***** *****
                                3.5  **»*» ***** *****  ***** *****

                                2.5  *****  86.1  86.2   85.4 *****

                                1.5  *****  84.8  84.8   66.6 *****

                                 .5  *****  86.5  89.6   87.3 *****

                                              SOUTH  SIDE*

-------
                                 Table 3-9

                     A-VE1GHTED 80UHD PRESSURE LEVEL PATA

         Teat Nuiaber 9       Compressor Output:  365 cfm
                           Engine/Compressor Type:  Rotary vano , Dieael, Quitted
                           Compressor Size:  3.66x1.82x2.14m
»*«  FAR FIELD OATA  (7  METRE  HAOIUSI
                                                        A  WFKiHTED LEVEL (DB)
ANGULAR
MIC HEIGHT
(METRESJ
.575
1.725
2.875
4.025
5.175
6.175
7.000

MIC HEIGHT
(MCTkES)
0.8-1.6
0.8-1.6
0.8-1.6
0.8-1.6
7.0
1.0
ORIENTATIQN(UEG) 0 30
MUM ELfVATtON
(QEGI
7 4.7 74.0 73.3
1 14.4 72.0 73.0
6 24.2 72.1 73.3
2 35.2 71.7 73.8
5 47.6 71.1 71.3
3 65.7 70.1 70.9
4 90.0 66.4 69.4
FAR FIEtO METHODOLOGY OATA
POSITION LEVEL
(06)
N 75.0
f. 75.5
S 77.0
W 75.0
OVERHEAD 68. 4 ( AVG. OF
MAX 75.5
60

73.3
74.3
72.6
73,6
72.0
71.3
69.5







HIC4

90

73.7
74.4
74.0
63.5
72.3
74.4
68.0







120

72.
74.
73.
73.
72.
71.
68.









5
1
5
7
3
9
4







150

73.1
73.0
72.8
72.9
71.7
70.5
67.4







180

74.4
73.9
73.7
73.7
72.6
69.7
68.2







210

76. 3
73.0
77.2
73.4
75.4
70.5
67.7







240

82.4
72.3
80.9
73.0
80. 1
70.5
68.5







270

73.5
73.4
73.2
73.5
72.2
70.8
68.9







too

72.7
72.7
73. J
73.9
72.4
70.5
67.9







330

72.3
72.0
72.9
72.6
71.0
70.4
67. <«







ABOVE 1










** A UFIGHTEO SOUND  POrfER LEVEL' 98.7 OB RE  1 PICOHATT  (BASED ON 73 POINTS!
     JULIAN DAY  168
*WEST SIDE*

      MIC
     HEIGHT  0.5    1.5

 3H NORTH  *****  *»***

 2M NORTH   81.8   82.1

 IN NORTH   82.2   81.7

CENTERLINE  82.2   80.1

 IN SOUTH   81.6   79.9

 2M SOUTH   80.1   79.3

 3M SOUTH  *****  *****
                                     NEAR
                         TEST NUMBER 9
             2M
              H
       MIC
      HEIGHT

        .5  *****

       1.5  *****

       2.5  *****

       3.5  *****


  2.5   3.5

***** *****

 78.5 *****

 80.2 *****

 78.6 *****

 78.2 *****

 78.0 *****

***** *****
                                          FIELD OATA  PRESENTATION
                                             *NORTH  SIDE*
                                           1M   CENTER   1M     2M
                                            W    LINE     E      E
 81.5  ul.6  82.1 *****

 78.2  78.4  78,4 *****

 75.8  76.7  76.1 *****

***** ***** ***** *****

      *TOP*


***** ***** *****

 74.8  75.9  75.7

 76.6  77.0  77.7

 79.1  80.6  78.8

 79.5  81.B  79.6

 76.3  76.9  76.1

***** ***** *****
               EAST  SIDE*


  3.5   2.5    1.5    0.5

***** *****  ***** *****

*****  79.0   81.9   81.9

*****  79.0   82.1   82.9

*****  78.5   79.5   83.0

*****  78.6   80.1   81.0

*****  77.2   79.2   79.9

***** *****  ***** *****
                               3.5  ***** ***** ***** ***** *****

                               2.5  *****  77.8   79.3  77.5 *****

                               1.5  *****  78.3   79.2  78.8 *****

                                .$  *****  so.9   83.6  81.4 *****

                                             SOUTH  SIDE*

-------
                                  Table J.10

                      A-WEIGHTED SOUND Pr.ESSIIHE LEVEL DATA
         Tect Dumber 10      Compressor Output: 900 cfm
                           Engine/Compressor Type:  Rotary vane, Diesel,  Quieted
                           Compressor Size:  4.29x2.19x2.51m
***  FAB  FICLD  DATA (7 METRE RADIUS)
                                                          A  WEI&HTfcD LFVEL  (06)
ANGULAR
MIC HEIGHT
ORItNTAT [CIN(OEG) 0
NUM ELEVATION
(MCTRFS)
•
1.
2.
4.
5.
6.
7.
575
725
875
025
175
375
000
7
1
b
2
5
3
4
UJEGl
4.7
14.4
24.2
35.2
47.6
65. 7
90.0

72.
74.
76.
80.
79.
81.
77.

7
2
2
4
9
7
4
30

74.9
77.2
77.2
79.5
78. d
81.0
77.5
60

76.0
77.0
75.9
79.1
78.0
81 .1
77.3
90

74.
77.
76.
79.
78.
79.
77.


8
0
1
6
2
3
1
120

76.8
77.2
79.6
til. 2
82. 1
79.5
77.4
150

77.3
79.1
81.7
B3.8
H *> 7
81.5
77. 7
                                                                    I 60
                                                                           210    240
                                                                    77.9   76.2
                                                                    79.5   77.7
                                                                    83.0   80.t>
                                                                    85.3   82.7
                                                                    85.8   Bi.
73.3
           FAR FIELD METHODOLOGY  DATA
MIC HFIGHT   POSITION   LEVEL
 (METRFSI                  (OB)
  0.8-1.6       N          75.0
  0.8-1.6       E          TB.O
  0.8-1.6       S          81.0
  0.8-1.6       W          79.5
   7.0      OVERHEAD       77.4
   1.0        MAX          61.0
         (AVG. OF  MIC4 ABOVE]
•* A WEIGHTED SOUND POrftft  LEVEL=104.8 08 KE 1 PICOWATT (BASED ON 73  POINTS)
     JULIAN DAY 169
                                      NEAR
                         TEST  NUMBER 10
                                      ZM
                                       W
                                           FIELD DATA  PRESENTATION
                     *NORTH SIDE*
                   IH   CENTER  1M     2M
                    M ,   LINE     E      E
                                MIC
                               HEIGHT
*WEST  SIDE*

       HIC
     HEIGHT  0.5   1.5

 3M  NORTH   79.9  79.1

 2M  NORTH   81.6  80.2

 IH  NORTH   83.1  62.9

CENTERLINE  82.7  61.9

 IH  SOUTH   82.3  62.0

 2M  SOUTH   82.2  80.8

 3M  SOUTH   79.6  61.4
       .5  *****   81.0  81.3  77.0  *****

      1.5  *****   73.4  78.4  77.6  *****

      2.5  *****   78.0  78.6  80.2  *****

      3.5  *****   82.1  79.9  82.3  *****

                        *TOP*
 2.5   3.5

80.0  81.2        ***** ***** *****

81.5  82.0         83.3  84.1  62.8

83.0  83.8         86.6  86.9  85.3

84.7  86.8         90.5  89.5  91.0

86.d  86.4         90.2  87.2  90.6

86.1  88.7         90.4  91.8  92.5

85.0  86.4        ***** ***** *****
             EAST  SIDE*


 3.5   2.5   1.5    0.5

80.9  80.7  79.5   79.8

81.9  82.3  80.4   81.4

64.0  63.4  81.9   82.5

87.7  65.4  81.6   82.1

87.7  87.4  81.6   82.0

86.6  85.0  SI.4   81.7

67.3  83.2  80.3   80.7
                                3.5  *****   90.3   90.1  90.5 *****

                                2.5  *****   85.8   87.5  85-9 ***»*

                                1.5  *****   80.6   81.0  81.1 *****

                                 .5  *****   80.7   81.9  81.2 *****

                                               SOUTH SIDE*

-------
                                Table 3-11

                    A-VEIOHTED 80UJTD PRE38OTE LEVEL DATA

       T««t NunSor 11      Compressor Output!  100 eta
                         Engine/Compressor Type: Rot«ty «cr«w, C«», Standard
                         Compreaaor Size: 1.78xl.27.xl.37a
»*«  FAR FIELD DATA  (1 METRE  RADIUS)
                                                         A  MEIGHTEO LEVEL (OBI
ANGULAR
HIC HEIGHT
(METRES)
.575
U7?5
2.875
4.025
5. 175
6.375
7.000
ORIENTATION(OEG) 0
NUH ELEVATION

7
I
6
2
5
3
4
(DEC)
4.7
14.4
24.2
35.2
47.6
65.7
90.0

80.6
80.5
81.6
82.6
83.4
84.9
83.7
30

80.9
81. 3
82.3
82.7
83.0
84.7
84.0
60

81.1
80.4
81.3
82.3
82.5
84.0
63.9
90

82.1
81.4
81.2
82.5
82.4
84.1
84.0
120

82.3
83.0
82.7
82.9
24.0
B4.0
83.5
150

83.2
83. U
83.2
83.1
B4.3
84.6
83.8
180

84.0
84.5
83.8
83.4
84. a
84.7
83.6
210

83.1
83.2
83.1
83.6
83.3
84.6
83.9
240

82.0
82.0
81.0
62.3
83.7
B3. 0
63.7
270

82.6
BO. 5
81.1
81. S
82.2
BJ. 9
83.4
300 330

81.3 80.4
80.5 79.7
31.7 81.7
82.1 82.2
83.1 83.1
84.6 83.9
83.5 8J.7
          FAR  FIFLD  METHODOLOGY DATA
HIC HEIGHT   POSITION    LEVEL
 (HtTRESt                 <08I
  0.8-1.6       N          82.5
  0.8-1.6       t          82.5
  0.8-1.6       S          86.0
  0.8-1.6       W          83.5
   7.0     OVERHEAD       83.7    IAVG. OF MIC4  ABOVE)
   1.0       MAX          86.0

** A WEIGHTED  SOUND  POWER LEVEL*107.7 06 RE  1 PICQWATT  (BASED ON 73 POINTS)
     JULIAN DAY 176
 • WEST  SIDE*

       MIC
     HEIGHT  0.5   1.5

 3H NORTH  »**** »*»**

 2N NORTH  ***** *****

 1M NORTH   90.3  90.5

 CENTERLINE  90.6  90.6

 IN SOUTH   91.8  91.6

 2H SOUTH  **•** *****

 3M SOUTH  ***** *****
                                     NEAR
                         TEST NUMBER 11
       2M
        U
 HIC
HEIGHT

  .5  *****

 1.5  *****

 2.5  *****

 3,5  *****


  3.5

*****

*****

*****

*****

*****

*****

*****
  2.5

*****

*****

*****

*****

*****

*****

*****
                                           FIELD DATA PRCSENIATION
                                              •NORTH SIDE*
                                            IN   CENTER  1M    2M
                                             U    LINE     E     E
 89.4  90.2  89.9  ****»

 89.2  90.4  90.2  *****

***** ***** *****  *****

***** ***** *****  *****

      • TOP*


***** ***** *****

 91.0  91.8  90.9

 92.7  93.5  92.6

 94.1  98.9  94.8

 94.4  97.8  94.B

 91.8  94.0  91.8

***** ***** *****
              EAST  SIDE*


  3.5   2.5   1.5    0.5

***** ***** ***** *****

***** ***** ***** *****

***** *****  90.4   90.4

***** *****  90.2   91.2

***** *****  90.8   91.1

***** ***** ***** *****

***** ***** ***** *****
                                3.5  ***** ***** ***** *****  *****

                                2.5  ***** ***** ***** *****  *****

                               .1.5  »****  92.1  94.5  91.9*****

                                 .5  *****  91.9  94.0  91.2  *****

                                              SOUTH SIDE*

-------
                                 Table 3.12

                     A-WEIGHTED SOUND PRESSURE LEVKI, DATA

        Teat NuEber 12       Compressor Output: 175 cfm
                           Engine/Compressor Type:  Rotary screw. Gas, Quieted
                           Compressor Size:  2.70x1.29x1.43m
»»»  FAR FIELD  DATA  <7 METRE RADIUS)
                                                         A WEIGHTED LtVEL I DB I
ANGULAR
MIC HEIGHT
(METRES)
.575
1.725
2.875
4.025
5.175
6.375
7. 000

MIC HEIGHT
JMETRFS)
0.8-1.6
0.8-1.6
0.8-1.6
0.8-1.6
7.0
1.0
ORIENTATIONIDEG) 0 30
MUM ELEVATION
(DEG)
7 4.7 74. B 77.2
1 14.4 74.9 75.6
6 24.2 74.5 76.3
2 35.2 75.8 76.9
5 47.6 76.3 76.8
3 65.7 75.8 75.1
4 90.0 74.4 74.3
FAR FIELD METHODOLOGY DATA
POSITION LEVEL
(D8I
N 78.0
€ 80.0
S 79.0
W 7V. 0
OVERHEAD 74.4 UVG.
MAX 80.5
60


77.5
76.4
78.2
77.5
75.7
76.5
73.9







OF HIC4

90


76.7
77.2
75. 3
75.4
75.7
74.8
74.1







ABOVE)

120


76.4
75.2
75.4
75.7
76.1
74.6
73.9









150


78.5
78.2
77.9
76.7
76.3
74.2
74.1









180


78. 3
77.5
76.9
76.0
75.9
75.2
74.0









210


76.8
76.3
75.7
77.0
76.2
75.2
74.5









240


76.3
76.3
74.8
76.0
75.0
74.2
74.4









270


76.3
75.4
75.7
75. B
74.6
74.9
75.1









30J


76.7
7S.3
75. d
7 b. 6
7t>. 0
7S.2
75.3









330


70.5
76.9
77. i
77. 3
76.2
75. <,
75.1









** A WEIGHTED  SOUND POKER LEVEL=101.1  D8 RE 1 PICOWATT  (BASED UN 73 PUINTS)
     JULIAN  DAY 178
*WEST  SIDE*

       MIC
     HEIGHT  0.5   1.5

 3M NORTH  ***** *****

 2M NORTH   85.6  83.4

 1M NORTH   86.4  84.2

CENTERLINE  65.8  84.2

 1M SOUTH   85.5  84.2

 2M SOUTH   85.5  82.3

 3M SOUTH  ***** *****
                                      NEAR
                         TEST NUMBER  12
       2M
        W
 MIC
HEIGHT

  .5  *****

 1.5  *****

 2.5  *****

 3.5  *****


  3.5

*****

*****

*****

*****

*****

*****

*****
  2.5

*****

*****

*****

*****

*****

*****

*****
                                           FIELD DATA PRESENTATION
                                              *NORTH SIDE*
                                            IM   CENTER   1M     2M
                                             W    LINE     E      E
 85.4  86.4   85.5  *****

 84.2  85.1   83.9  *****

***** *****  *****  *****

***** *****  *****  *****

      *TOP*


***** *****  *****

 84.0  83.2   83.6

 83.9  84.5   84.3

 83.4  64.7   84.1

 S3.2  82.4   82.8

 82.2  82.4   82.5

***** *****  *****
               EAST  SIDE*


  3.5   2.5    1.5    0.5

***** *****  ***** *«**#

***** *****   84.3   84.2

***** *****   d5.6   87.0

***** *****   86.9   36.9

***** *****   B5.2   Bo.O

***** *****   82.6   84.8

***** *****  ***** *****
                                3.5  ***** ***** *****  ***** *****

                                2.5  ***** ***** *****  ***** *****

                                1.5  *****  83.7  83.4   84.6 *****

                                 .5  *****  84.3  85.9   85.2 *****

                                              SOUTH  SIDE*

-------
                                  Table 3.13

                      A-VEIOHTED SOUND PRESSURE LEVEL DATA

         Test Number 13      Compressor Output: 175 cfra
                           Engine/Compressor Type: Rotary screw,  Diesel,  Quieted
                           CoBpreosor Biie: 2.70x1.29x1.43m
***  FAR FIELD  DATA  (7  METRE  RADIUS)
                                                        A  WEIGHTED LFVEL (08)
ANGULAR
MIC HEIGHT
(METRES)
.575
1.725
2.875
4.025
5.175
6.375
7.000

MIC HEIGHT
(METRES)
0.8-1.6
0.8-1.6
0.8-1.6
0.8-1.6
7.0.
1.0
ORIENTATION(DEG) 0 10
HUM ELEVATION
(DEC)
7 4.7 77.2 78.}
1 14.4 77.4 76.8
6 24.2 76.7 76.5
2 35.2 77.5 77.2
5 47.6 77.1 75.9
3 65.7 74.8 74.6
4 90.0 72.9 73.0
FAR FIELD METHODOLOGY DATA
POSITION LEVEL
(08)
N 77.0
E 77.5
S 81.5
W 76.5
OVERHEAD 72.9 IAVG. OF
MAX 81.0
60

77.3
76.4
76.9
75.7
74. a
74.6
73.1







MIC4

90

75.0
74.2
76.0
75.0
75.2
75.7
73.1







ABOVE)

120

76.
77.
78.
77.
7t>.
76.
73.











5
7
0
3
8
9
0









150

00. I
7B.9
BO. 6
75.9
76. 1
75.4
72.8









180

79.4
78.4
77.1
75.5
75.2
75. 1
73.1









210

79.9
75.4
75.0
75.7
75.7
74.1
73.1









240

78.0
75.0
76.0
76.2
75.4
74.4
73.1









270

75.4
73. S
75.5
73.9
73.6
74.1
73.1









300

7S.8
76. 7
75.6
75.6
74.9
73.0
72.6









330

80. S
77.2
77.3
77.3
76.9
74.5
73.0









** A WEIGHTED SOUND  POWER  LEVEL-101.4 OB RE 1 PICOWATT  (BASED ON 73 POINTS)
     JULIAN DAY  183
                         TEST
• WEST SIDE*

      HIC
     HEIGHT  o.s   1.5

 3H NORTH  ***** *****

 2M NORTH   86.6  84.6

 1H NORTH   67.9  83.9

CENTERLINE  86.2  83.2

 1M SOUTH   87.2  84.1

 2M SOUTH   84.3  65.1

 3M SOUTH  ***** *****
  2.5

*****

*****

*****

*****

*****

*****

*****
             NEAR
      NUMBER 13
       >M
        W
 MIC
HEIGHT

  .5  *****

 1.5  *****

 2.5  *****

 3.5  *****


  3.5

*****

*****

*****

*****

*****

*****

*****
                                          FIELD DATA PRESENTATION
                                             *NURTH S10C*
                                           1M   CENTER   1M  ,   2H
                                            W    LINE     E     E
 86.8  86.6   85.9  *****

 84.9  85.0   83.9  *****

***** ***** *****  *****

***** ***** *****  *****

      • TOP*


***** ***** *****

 84.0  83.3   82.3

 82.6  84.3   62.5

 81.9  81.3   80.9

 82.5  79.9   81.3

 81.9  79.1   81.6

***** ***** *****
               EAST  SIDE*


  3.5   2.5    1.5    0.5

***** ***** ***** *****

***** *****   8*.2   84.7

***** *****   83.8   88.0

***** *****   83.4   87.4

***** *****   84.6   88.0

***** *****   83.6   85.6

***** ***** ***** *****
                               3.5  ***** ***** ***** *****  *****

                               2.5  ***** ***** ***** *****  *****

                               1.5  *****  83.8  82.2  83.1  *****

                                .5  *****  85.1  86.1  06.2  *****

                                             SOUTH SIDE*

-------
                                  Table 3.ill

                      A-WE1GHTEC SOUND PRESSURE LEVEL DATA

         Test Number lit       Compressor Output: 135 cfffi
                            Engine/Compressor Type: Rotary screw,  Diesel.  Standard
                            Compressor Size: 2.70x1.29x1.43n
***  FAR FIELD  DATA  (7 METRE RADIUS)

   ANGULAR ORIENTATION(DEG)    0    30
MIC HEIGHT  NUM   ELEVATION
 • METRES)          (DEC)
   .575       7       4.7
  1.725       1      14.4
  2.875       6      24.2
  4.025       2      35.2
  5.175       5      47.6
  6.375       3      65.7
  7.000       4      90.0
                                                         A WEIGHTED  LfcVEL  ( DB )
                                            60
                                                  90
                                                       120
                                                             150
                                                                    ISO
                                                                          210   2*0
                                                                                      270
                                                                                            300
                                                                                                   33J
                              73.2  76.2   73.8   73.1  73.9  75.6   77.d
                              73.5  75.7   74.4   73.3  74.4  75.5   75.9
                              74.1  75.8
                              75.8  76.8
                              75.6  76.2
                              75.1  73.4
                              71.5  72.3
                  74.8
                  75.6
                  74.2
                  74. 4
                  71.7
               73.1   73.6  74.6  76.4
               74.2   75.5  75.4  76.3
               73.3   73.8
               74.0
               71.8
74.5
71.4
74.6  75.3
74.1  72.9
71.6  71.3
75.0
74.1
74.1
75.5
74.0
74.0
71.4
74.0
73.4
73.2
73.2
72.8
73.0
71.6
72.7
72.2
72. 
-------
                                  Table 3.15

                      A-WEIGHTED SOUND PKE3SUHE LEVEL DATA

         Test Number 15      Compressor Output: 175 cfm
                           Engine/Compressor Type: Rotary screw, Gas, Standard
                           Compressor Size:  1.99x1.27x1.45m
• *•  FAR  FIELII  DATA (7 METRE RADIUS)
                                                         A WEIGHTED LEVEL  (DB)
ANGUL AR
MIC HEIGHT
(MFTRES)
.575
1.725
2. 875
4.025
5.175
6.375
7.000

MIC HEIGHT
JHFTRES)
0.8-1.6
0.8-1.6
0.8-1.6
0.6-1.6
7.0
1.0
CmiENTATlONIOtG) 0 30
NUM ELCVATIUN
(OEGJ
7 4.7 82.2 82.0
1 14.4 61.1 82.3
6 24.2 81.1 82.1
2 15.2 83.6 83. 5
5 47.6 82.9 83.6
3 65.7 84.4 84.6
4 90.0 83.0 B2.9
FAR FIELD METHODOLOGY DATA
POSITION LEVEL
(DB)
N 82.0
E 83.0
S 89.5
M 83.5
OVERHEAD 83.0 (AVG. OF
MAX 88.5
60

82.7
82.9
82.4
83.3
62.8
&4.1
83.1







MIC4

90

82.5
82.4
82.6
83.2
83.6
63.3
83.1







ABOVE!

120

84.1
83.6
83.5
83.3
83.4
04.2
B3. 4









150

86.0
86.2
84.6
84.7
84.9
B3.9
82.8









180

87.3
a&. a
85.4
85.9
86.0
83.5
63.2









210

86.
07.
U4.
84.
85.
tt4.
32.










3
5
2
7
1
0
6









240

85.2
63.1
B2.2
62.8
03. 6
B4.6
83. 1









2 To

83.)
bl. 7
81.8
32.2
63. i
34. 1
d3.2









»00

43.7
61.0
dl.5
32.4
82. a
84.3
di. J









33J

tt2.4
81.5
81. u
02.5
63.1
44.1
62.6









** Jk WEIGHTED  SOUND POWER LEVEL-108.7 DB  RE  1  PICOHATT JBASED ON 73 POINTS)
     JULIAN  DAY  169
                         TEST
                                     NEAR
                              NUMBER 15
•WEST SIDE*

      MIC
     HEIGHT  0.5    i.s

 3M NORTH  ***** *****

 2M NORTH  ***** *****

 1M NORTH   92.0   91.7

CENTERLINE  92.0   92.9

 1M SOUTH   92.5   93.8

 2M SOUTH  ***** *****

 3M SOUTH  ***** *****
  2.5

*****

*****

*****

*****

*****

*****

*****
        2M
        U
 M:C
HEIGHT

  .5  *****

 1.5  *****

 2.5  *****

 3.5  *****


  3.5

*****

*****

***. *

*****

*****

*****

*****
                   FIELD DATA PRESENTATION
                                             *NORTH SIDE*
                                            IM    CENTER  1M    2M
                                            V.     LINE     E     E
 91.6  93.8   91.6 *****

 92.0  92.2   91.6 *****

***** *****  ***** *****

***** *****  ***** *****

      • TOP*


***** *****  *****

 90.3  90.4   90.7

 92.2  94.0   92.3

 94.7  97.0   93.9

 95.2  96.3   94.2

 93.0  94.3   93.2

***** *****  *****
               EAST  SIDE*


  3.5   2.5    1.5   .0.5

***** ***** ***** *****

***** ***** ***** *****

***** *****   93.1   93.1

***** *****   93.8   92.4

***** *****   93.2   92.1

***** ***** ***** ****«

**•*» ***** ***** *****
                               3.5  ***** *****  ***** ***** «**»•

                               2.5  ***** *****  ***** ***** *****

                               1.5  *****  95.0  98.4  95.2 *•*••

                                .5  *****  95.5  9603  95>J *****

                                             SOUTH  SIDE*

-------
                                  Table 3.16

                      A-WF.ICHTED SOUND PRESDURE LEVEL DATA

         Test Number 16      Compressor Output: 85 cfm
                           Englne/Coir.preoiior Type: Rotary screw. Gas, Standard
                           Compressor Size: 1.96x1.10x1.34m
***  FAR FIELD  DATA (7 MET»E RADIUS)

   ANGULAK UR1ENTAT [OMOLG)    0
MIC HklGHT   MUM  tLhVATIUN
      30
             60
                   90
                                 A  WEI&HTfO LCVL'L
                               120    150   18J   .
                                            (l)rt)
                                                 240
                                                              JJJ
                                                                    .Ucl
IMtTPf S)
.575
1.725
2.875
4.0?5
5. 175
6. J75
7.000
IDEGI
7 4.7
1 14.4
6 24.2
? 35.2
5 47.6
3 e>5.7
4 90.0

76.
74.
74.
74.
75.
75.
74.
FAR HELD METHODOLOGY
MIC HEIGHT
tMEiatS)
0 . B- 1 . 6
0.8-1.6
O.fl-1.6
0.8-1 .6
7.0
1.0
POSIT ION

H
E
S
W
OVERHEAD
MAX
LEVEL
IDUV
76.5
76.0
eo.o
75.5
74.1
80.0

5 76.4
1 74.5
0 74.0
b 72.0
9 76.2
3 74.6
1 74.1
DATA






(AVG.


76.0
74. t
74.6
74.6
75.9
T>.i
Tt.t







OF M1C4


76.1
73. 8
73.7
74.2
75.7
74.5
74.0







ABOVE


n.o
75.6
76.3
76.2
76.9
Jy.B
73.6










1 8.6
>B. 1
7b.O
7d. 4
7d.4
7t.. o
74.5










79.4
7->. I
77.9
79. 3
76.9
77.2
74.0










7U.2
7 i).2
77.0
78.0
7d.5
76.7
74.5










76.1 75.3
7 5. f> 74. 
-------
                                    T»bl« 3.IT

                        A-WEIOHTED SOUND PRESSURE LEVEL DATA

           Teat Number 17      Compressor Output: 150 cfm
                             Engino/Comproasor Type: Rotary screw, Oae,  StttuUxd
                             Compressor Size: 1.93x1.24x1.36m
• **  FAR FIELD  DATA (7 METRE RADIUS)
                                                         A WEIGHTED LEVEL (DBI
ANGULAR
MIC HEIGHT
(METRES)
.575
1.725
2. 875
4.025
5.175
6.375
7.000

MIC HEIGHT
•METRES)
0.8-1.6
0. 8-1.6
0.8-1.6
0.8-1.6
7.0
1.0
ORIENTATIONIOEGI 0 30
NUN ELEVATION
(DEC)
7 4.7 76.8 77.7
1 14.4 76.5 76.8
6 24.2 76.9 76.6
2 35.2 78.2 77.4
5 47.6 78.6 7B.O
3 65.7 77.9 77.0
4 90.0 75.5 75.0
FAR FIELD METHODOLOGY DATA
POSITION LfcVEL
(DB)
N 77.5
E 7B.O
S 80.0
W 77.5
OVERHEAD 75.5 (AVG. OF
MAX 83.0
60

77.7
76.8
76.8
77.5
77.4
70.7
75.5







MIC4

90

77.5
76.1
77.4
77.7
77.8
76.4
75.1







ABOVE!

120

79.4
77.6
78.2
78.0
78.9
77.1
75.3









150

Bl.l
79.3
79.2
80.0
80.6
77.4
75.8









180

79.4
79.7
78.5
79.6
79.8
78.1
75. «









210

80.3
79.6
79.2
80. 0
BO. 7
7li.ll
75.7









440

79.6
78.2
77.9
79.0
78.6
77.5
75.8









270

77.1
76.5
76. (.
77.9
77.7
77.3
75.9









300

77.5

75. 7
77.2
77. 7
7b. 6
7S. I









330

77.8
76.3
76. 5
77.1
7B.I
77.9
75.d









** A WEIGHTED  SOUND POWER LEVEL»103.0  DB  RE  1  PICOWATT (BASED UN  73  POINTS)
     JULIAN  DAY  191
• WEST SIDE*

      MIC
     HEIGHT   0.5    1.5

 3M NORTH  *»»»*  *****

 2M NORTH    S6.5   84.3

 1M NORTH    67.6   86.3

CENTERLINE   87.9   86.9

 1M SOUTH    89.4   87.6

 2M SOUTH    88.8   86.5

 3M SOUTH  *«***  *****
            NEAR
TEST NUMBER 17
            2M
              W
      MIC
     HEIGHT

       .5  *****

      t.5  *****

      2.5  *****

      3.5  *****
                                           FIELD DATA PRESENTATION
                                              •NORTH SIDE*
                                            1M   CENTER  1M    2M
                                             W    LINE     E     E
 87.6  91.3   87.5  *****

 85.8  86.3   87.0  *****

***** ***** *****  *****

***** ***** *****  *****

      *TOP*
,5
<*
3
3
9
6
5
i*
2.5
*****
*****
*****
*****
*****
*****
*****
3.5
*****
*****
*****
*****
*****
*****
*****


*****
84.
ST.
89.
88.
88.
2
4
3
6
1
*****


*****
86.
8S.
90.
90.
88.
1
7
6
4
8
*****

*****
86.2
87.3
89.1
39.3
88.1
*****
                                                               EAST  SlOE*


                                                   3.5   2.5   1.5   0.5

                                                 *t*** ***** ***** *****

                                                 ***** *****  85.5   85.4

                                                 ***** *****  87.7   87.9

                                                 ***** *****  88.0   88.1

                                                 •**** *****  87.3   88.7

                                                 ***** *****  88.4   88.0

                                                 ***** ***** ***** *****
                               3.5  ***** ***** ***** ***** *****

                               2.9  ***** ***** ***** «*»*# *****

                               1.5  *****   90.2  90.1  90.3 *****

                                .5  *****   90.3  92.5  90.1 *****

                                              SOUTH SIDE*

-------
                                 Table  3.18

                     A-WEIGHTED SOUND PRESSURE LEVEL DATA

        Teat Number 18      Broad Band Reference Sound Source



»**  FAR FIELD  DATA  17  METRE RADIUS)
                                                         A WEIGHTED LEVEL IDB)
   ANGULAR  ORIENTATIONIDEG)    0    30     60     90    120   150   180   210   240   270    300    3 JO
MIC HEIGHT   MUM  ELEVATION
 •METRES)          (DEG)
   .575      7       4.7      71.*  71.0   71.to   72.0   72.1  71.7  71.3  7Z.1  71.9  72.0   /2.1   71. J
  1.725      I      I*.*      70.8  71.5   70.5   70.*   70.2  70.7  71.2  71.0  71.3  71.5   71.'.   71.2
  2.875      6      24.2      70.2  69.9   70.3   70.3   70.5  70.0  69.6  69.7  69.6  70.1   70.'.   70.1
  4.025      2      35.2      69.8  69.9   70.1   70.3   70.6  71.1  70.7  70.fc  70.7  70.3   70.7   70.6
  5.175      5      *7.6      69.6  69.6   69.8   70.1   70.0  70.1  68.7  69.7  69.3  69.2   69.J   i9.7
  6.375      3      65.7      69.5  70.0   69.8   69.6   69.3  69.*  69.7  69.8  70.7  70.2   70.2   70.1
  7.000      *      90.0      69.4  69.*   69.2   69.5   69.2  69.3  69.5  69.9  69.6  69. t)   69.6   09.6

          FAR  FIELD METHODOLOGY DATA
MIC HEIGHT   POSITION   LEVEL
 (METRES)                 (D8)
  0.8-1.6       N          72.0
  0.8-1.6       E          73.0
  0.8-1.6       S          73.0
  0.8-1.6       W          73.0
   7.0      OVERHEAD      69.4    (AVG. OF  MIC*  ABOVE)
   1.0       MAX          72.5

** A WEIGHTED  SOUND POWER LEVEL= 95.3 D8  RE  1  PICOHATT (BASED ON 73 POINTS)


                                     NEAR  FIELD DATA  PRESENTATION
     JULIAN DAY 1*1     TEST NUMBER 18

                                              *NORTH SIDE*
                                     2M     1H   CENTER  IH    2M
                                       W      W    LINE     E     f.
                                KIC
                              HEIGHT

                                 .5   *****  ***** ***** ***** *****

                                1.5   *****  *****  80.5 ***** *****

                                2.5   *****  > (2M FROM SOURCE) *****

*WEST  SIDE*                    3.5   *****  ***** ***** ***** *****                      EAST SIDE*

       MIC                                        *TOP*
     HEIGHT  0.5   1.5   2.5    3.5                                        3.5    2.5   1.5   0.5

 3H NORTH   ***** ***** ***** *****       ***** ***** *****              ***** ***** ***** *****

 2M NORTH   ***** **»** ***** *****       ***** ***** *****              ***** ***** ***** *****

 1M NORTH   ***** ***** *****  *****       ***** ***** *****              ***** ***** ***** *****

CENTERLINE  *****  79.7 *****  *****       *****  Bl.* *****              ***** *****  81.3 *****

 1M  SOUTH   *** <2M FROM SOURCE),*,,       **,*(2M HIGH)****              *** (2M  FROM  SOURCE)***

 2M  SOUTH   ***** ***** *****  *****       ***** ***** *****              ***** ***** ***** *****

 3H  SOUTH   ***** ***** *****  *****       ***** ***** *****              ***** ***** ***** *****



                                3,5   ***** ***** ***** ***** *****

                                2.5   *****  (2M FROM SOURCE) *****

                                1.5   ***** *****  79.9 ***** *****

                                 .5   ***** ***** ***** »»*»* *****

                                              SOUTH SIDE*

-------
                                  Table 3.19

                      A-VKJQilTOT BOUND PNBKNIIW I.KVM. DATA
                                                          1U
«•»  f»»  f>lflD DATA I? HEIDI  HAOiui)

   ANGULAR  naUNTATIONIOtGI     C    JO
MIC NFICHT   NUN  HEVATIUN
       * WCIGHTtO LIVCL  (OS)
40   120    140   110   210
                               !40   no    300    DO
(KtW SI
.M*
I.T2»
2.675
*.02S
S. 175
6.J75
T.OOO
IBEGI
T 4.7
1 14.4
6 24.2
2 35.2
5 47.6
1 65.7
4 90.0

61. J 64.6
47.7 69.)
49.6 6J.O
56.8 61.}
62. 5 64.4
58.5 54.8
68.0 68.4

60.2
01.0
19.9
60. )
6J.3
55.3
68.0

65.5
62.1
66.8
52.6
66.7
57.4
67.9

66.4
65.6
68.1
59.0
69.7
56.0
68.1

69.)
67.8
69.7
62.2
71.9
57.2
67.9

72.2
72.6
73. S
67.0
73.8
55. S
68.6

T».9
74.2
75.4
69.0
75.5
55.)
68.1

73.0
72.8
75.1
68.5
74.3
50.7
67.7

70.1
60.5
70.9
63.9
72.7
56.6
68.1

67.6
65.7
6U.2
58.6
70.3
58.5
67.4

65.)
63.5
67.0
56.9
67.4
56.4
67.9
FAR FIELD METHODOLOGY DATA
NIC HEIGHT
(METRES 1
0.1-1.6
0.8-1.6
O.a-1.6
O.D-1.6
T.O
1.0
POSITION

N
t
S
K
OVERHEAD
MAX
LEVEL
(081
74.0
68.0
66.0
65.0
68. 0 (AVG. OF
64.5






MIC4







ABOVE)

































































•• A WEIGHTED SOUND POWER  LEVEL- 9).5 08  RE  1  PICOWA'T  (BASED ON 7) POINTS!

   -                              Table  3.20

                       A-WEIOKTED BOUHD PRESSURE LEVEL DATA

         Test Sunber 20      Pure-Tone Loudspeaker Source,  1000 Hz
• •*  FA*  FIELD DATA (7 METRE RADIUS)
   ANGULAR ORIENT ATIONIDEG)
MIC  HEIGHT  NUM  ELEVATlUN
                                                          A  WEIGHTED LEVEL  (OB)
                                                         120    150
                                                                     180
                                                                            210   240   270    300    330
(METRES)
.575
1.725
2.875
4.025
5. 175
6.375
7.000

7

6
2
5
3
4
(OEGI
4.7 57.4 bl.2
14.4 67.5 65.9
24.2 67.9 (.6.6
35.2 fee. 9 68.9
47.6 61.. 3 ' 68.7
65.7 66.5 68. 5
9}.0 64.7 60.1

60.3
65.4
68.9
69.0
67.4
68.0
64.7

61.6
68.0
68.5
70.0
70.5
71.4
64.9

59.2
66.1'
7i.7
71.9
73.6
73.4
66.8

65.9
71.8
76.3
77.8
64.6
75.6
65.7

67.2
73. J
78.0
79. T
79.1
78.6
66.5

73.2
75.8
79.3
81.4
80.4
80.0
65.4

68.0
72.4
75.9
78.Z
78.1
78.8
65.3

68.3
67. d
73. S
74.5
75.5
76.0
64.0

62. t
64.6
6V.4
70. d
70.3
72.3
66.9

61.5
65.3
D7.0
<>7.l
70.0
71.5
50.2
FAR FIELD METHODOLOGY DATA
MIC HEIGHT
IMETfclSI
0.8-1.6
0.8-1.6
0.6-1.6
0.8-1.6
7.0
1.0
POSITION LEVEL

N
E
S
N
I OB)
80.0
74.0
70.0
74.0
CVE'HEAO 64.7 (AVG.
MAX
77.0





OF MIC4






ABOVE)

























































•*  A WEIGHTED SOUND  POWER LEVEL-  98.6 08 RE I PICOWATT (BASED ON  73  POINTS)


                                    Tdble 3.21

                        A-WEIGHTED SOUND PRESSURE LEVEL DATA

           Test Kuaber 21      Pure-Tone Loudspeaker Source, £000 Hz
 ••*  FAR FIELD DATA 17 NETKE RADIUS)
                                                           A WEIGHTED LEVEL (OBI
ANGULAR
MIC HEIGHT
(METRES 1
.575
1.725
2.875
4.025
».VT5
6.375
T.OOO

MtC HFICMT
(METRES)
0.8-1.6
0.8-1.6
0.8-1.6
0.8-1.6
T.O
1.0
ORIF.NTATIONIDEG) 0 30
NUM ELEVATION
(DEC)
7 4.7 65.7 55.0
I 14.4 53.5 64.9
6 24.2 64.0 54.0
2 35.2 66.3 64.8
J 47.6 67.9 5H.3
3 65.7 66.8 56.8
4 90.0 60. 8 70.1
FAR FIFLO METHODOLOGY DATA
POSITION LEVEL
(Ob)
N 89.0
E 71.0
S 69.0
W 76.0
OVERHEAD 68.8 (AVG.
MAX 83.0
60

69.
56.
65.
69.
64.
68.
70.







UF Mi



8
5
4
8
1
8
2







C4

90

72.2
68.6
63.9
70.6
68.6
69.7
08.1







ABOVt 1

120

77.4
71.9
67.4
73.2
71.5
74.5
69.3









150

85.6
80.5
70.5
77.4
79.3
7B.O
69.4









180

88.5
85.9
77.8
82.6
79.7
78.8
68.8









210

89.4
86.1
71.5
79.5
81.5
77.1
68.0









240

83.9
81.7
72.2
79.5
79.5
77.3
66.9









270

79. »
75.7
66.5
70.2
73.6
77. 1
69.1









300

71.0
6V. 2
64.3
68.5
66.4
73.4
69.0









330

62.2
64.2
65.1
63.8
65.7
72.0
68.8









 • * A WEIGHTED SOUND POWER  i.EVEL-lOJ.2 08  RE  1 PICOWATT  (BASED ON 73 POINTS)

-------
                                  3.  SOUND POWER LEVEL CALCULATIONS

                           3.1.  Far Field Sound Pover Calculation Procedures

      The estimate  of  sound power  (W(f)) from samples of mean square pressure or. a measurement surface
 is  of the form:
                            W(f) =2l^pi  U) VPC                                             (3.1)

 where     W(f)   is  the  estimate ofisound  power  (watts) at the frequency f

           p2 (f)  is the time-average  squared pressure at position i on the
              measurement surface  at the frequency f  (pascals  ).

            [p2  (f)  = 10SPL(i'f}/10 where  SPL(i,f) is the time average sound
             pressure level at position i  and frequency f.]

      S.    is the area associated  with the ith measurement position
              (square metres).

      pc   is the characteristic impedance of the medium  (p  is the density
           kg/m , c  is the velocity of sound m/sec).

 In the event that the microphone  positions are  chosen to  represent  equal areas of the measurement
 surface, then equation 3.1 reduces to:

                                            —       .                                         (3.2)


 where:  S is the total area of the measurement  surface  (square  metres).


 The far-field measurement  art-ay was designed with this latter equation in r.ind.   At  each location  of
 the array, each microphone, except the top one, samples a sector of the hemisphere Troni $ — i$ to  $ +
 Ait and from  z =z  -   Az  to z  =z   +   Az  [where A = 15°, Az = 1.15m.].
                      2          °      2
 The area of  a segment of a spherical  surface between z  and z,. is 2itrAz; thus the area represented by
 each microphone position is:                                 ^

                           &BI = 2ir(7.0) (1.15) (30/360)

                                 = U.2 m

 The area sampled by  the top microphone is:
  r2

= 1».3
                            S_  = 2itr2 - m(ASi)
For the purpose of sound power calculations in this report, these areas were treated as equal;
however, it should be noted that the areas involved are not identical in shape.  This is a conceptual
disadvantage, since it is not entirely clear -f-.hat the sample from the center of a long narrow
rectangular shaped area will be as representative of the average level as a point which is at the
center of a circle of the same area.  Such considerations are, however, beyond the scope of this
study.

3.1.1.  Systematic Error in the Far Field Array

     The array chosen presents another difficulty for the measurement of sound power level, which has
been previously noted by Baadefj].  This has to do with the fact that a compact (ka«l, k=wave number,
a= source radius) omnidirectional source at a height above the ground plane produces an interference
pattern on a hemisphere above the plane which in the far field approximation is of -the form [7].
                                                                                                (3.3)
                                   " \ Ri   R2    '1' 2 '
where:
      o
     p (r,z) is the mean square pressure at height z on a hemifphere
            centered over the sources, of radius r;

                                                 37

-------
     p ""  io the mean oquuro proonure from the source in free apace
      0    at tho radlun rj

     R,  is equal to tho ratio of path length for direct sound
        to radiuo r;


        R? - (r2- z2) -t- (h - z)2  = r2-2hz + h2
         1               2               2
                        r               r
     R2  is equal to the ratio of path length for reflected sound
        to radius rj


        H? - (r2- z2) + (h + z)2   - r2 + 2hz + h2
         «;             g                   2
                      r                   r

     h  is the height of the source center above the ground plane;

     R(T)  is the auto correlation function of the source radiation.

         For random noise;

           .  .       ,„  ..   >  Sin  (2irAfT)
         R(T) -  cos (2i.fot)  —%-fc	

     •
         f  is the  center  frequency of the band, Hz;

         Af is the  narrower bandwidth of the  signal or  the analyzing  filter;

         T  is the  time delay between direct  and reflected sound  [T=r(R1-R2)/e]

         c = speed  of sound in the propagation medium;

         For pure tor.es,  6f = 0  and sin x =   1 when x = 0
                                      x                  2
         so, R(T) = cos 2-nfT =  cos  (a-nfrd^-R^/c).  For r /hz»l,

         R1/R2    1, and fr(R.,-R2)/c   2fhz/rc.

     For tones or bands  of noise  this  expression predicts minim in the sound field  at heights which
are odd multiples of fhz/rc when  r »hz.


     Thus for a  small  fixed height source,  superimposed on its inherent directivity, interference
minima will  occur at microphone  heights  z which are multiples of odd integers due to the n ground
plane reflection. Fortunately,  our microphone array  is  sufficiently closely spaced  so that minima
will not occur  at all  microphones rimultaneously.  for a one metre  source height,  unless the conditions
f> 1000 Hz  and source  radius much xess  then 0.053  m are  met.   At lower frequencies,  the fact that
maxima will  occur at some  microphone positions which will compensate,  to some degree, for minima at
other locations,  presumably will tend  to minimize  this  systematic  error.  Furthermore, for this
description  to  apply to  a  minimum at the top microphone  only, the  frequency must  be  greater than about
300 Hz with  a source radius much less  than O.l6 m.   Tius, the fact that the typical  component source
size of a compressor is  considerably larger than  these  dimensions, except possibly for engine exhaust,
suggests that the existence of interference minima should not create a serious measurement problem for
this array.

     An estimate of the  possible error in the far  field measurement for an omnidirectional source can
be obtained from Eq. 3.3 as follows.

     We note.that an estimate of sound power output without  sampling error, for a fixed source height
is given by'*'
  We note that while the true power is analytically available by simpler means, at this Juncture
  our purpose is to evaluate only the sampling error, uncluttered by other error sources.


                                                 36

-------
                            <»5T£HATIC f.HHOH IN ESTIMATION  OF  bOUNU POKE" FROM A CUHPACt SOURCE
                               OSINS SPL VALUES FRO*1  A  /I POINT  AKrfAT ON A 7 HETEK HEMISPHERE

                                        SOURCE ' PU«f TONE  A1  1/3 UU ClNttR FRtWutNCT

                                               1(1 LOG MEST IMA1EDI/*
SOURCE HllGHfltM
f »EQUENC»
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SOURCE
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                    .23
         SYSTEMATIC  ERROR  IN  ESTIMATION OF SUUNU PO«ER  F»e« « CUnPACT SOuRCt
            USING  SPL  VALUES  FRO" A 73 POINT AHKAT  ON A  7  KtTEK HEKISPHERE

            SOURCE-PINK  NUISt I/J 0.8. "IDE AI  1/3  O.S.  CENTER FHEUUENCT

         •                    10 LOG •(EST imrtoi/«

         .Id      .Sj     .63      .79    1.00     1.26     I.S8    2.00    2.SI  Av EKR   SO OF  ERR
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-------
                      -7
r_
   (2itr) pa(r.z)  dz
            pc
o
Tlie approximation obtained from the far-field array  is
since p (r,z.t6.) is independent of 6 for an omnidirectional  source, eq., 3.5 reduces to


                      """•^Z  aip2Zi)                                           (3-6)
where:                              i=1
                          (12/73. i « 1 to 6
                      al *1
                       1  I  1/73, 1=7
     The error in sound power level due to earaplint, (ALv(s))  is  given by


                               10 Log10 ~-                                                  (3,7)

                                                        2
     The results of this calculation,  using eq.  3.3 for p (r,z)  considering ten different source
heights for the far field array with the sources radiating ' either a pure tone or one-third octave
bands of noise, are shown in Tables l*.l and lt.2.

3.1.2.  Far Field _ Sound Power Calculations

     In performing the sound pover calculations, the significance of the ambient correction was
retained in terras of a signal quality  code.   As  noted  in Section 2.3.5, the average sound pressure
level value at a measurement position  in each frequency band was coded to indicate one of the
following types of data quality:

     a) normal data (greater than 3 dB above ambient);

     b) upper bound data (data within  0 to 3 d3  above  ambient, and corrected
         for ambient);

     c) no useful data (data at or below ambient,  or at or below instrument
         base line) ,  Data value replaced by higher of ambient level minus 3 dB
        or baseline level.


     In using these data in a sound power level  calculation, the first step is the computation of an
average sound pressure.  The data were summed in three components of the average with a breakdown
similar to the above, i.e.

     a) sum of normal data, and number of points

     b) sum of upper bound data,  and number  of points

     c) sum of no-useful-data values,  and number of points  of no useful data.

     The average sound pressure was determined by  adding these sums together and dividing by the total
number of points .  The power level computed  using  this average sound pressure was assigned a quality
code according to the relative magnitude of  these  sums and  the number of points involved as described
below:
                                                 feo

-------
          power level         quality of data
          quality code

               1         all data type-a

               2      •   some type-a, no type-c, some type-b data which  contributes less
                         than one-twentieth (0.2 dB)  to the total power  in the band,

               3         some type-a, some type-b and -c data which contributes less
                         than one-twentieth to the total power.

               k         some type-a, no type-c, some type-b data which  contributes
                         between one-twentieth and one-half of the computed power
                         (-0.2 dB to -3 dB).

               5         some type-a, some type-b and -c data which contribute
                         between one—twentieth and one-half of the computed power.

               6         some type-a, no type-c, type-b data which contribute more
                         than half of the computed power.

               7         some type-a, type-b and -c data which contribute more
                         than half of the computed power.

     Investigation of the data indicated that in the frequency range 25  Hz to 10 kHz, there was always
some type-a data so the above classification is complete.  The data of code k through 7 are upper
bound sound power levels, since the estimate of true power level  will be less than calculated.

     Data of code 1, 2, and 3 was further classified according to the magnitude of the pooled value of
temporal variance according to the following scheme:

     a.  If the variance of the signal is less than that of electrical noise at the 99% level of
     confidence, then the signal is called tone-like.

     b.  If the variance of the signal is within the 99% confidence interval of electrical pink noise,
     the signal is called noise-like.

     c.  If the variance of the signal is significantly greater than that of electrical pink noise at
     the °9% level of confidence, the signal is called fluctuating.

     The data in each band where the quality code is less than or equal  to 3 is given a letter code T,
H or F corresponding to the above classification — tone-like, noise-like and fluctuating,
respectively.

                         3.2.  Hear Field Sound Power Calculation Procedures

     The same general and specific forms of the far-field sound power calculations (eq. 3-1 and 3-2)
also apply to the near-field calculations.  The same order of magnitude  sound power value will result
since the value for mean square sound pressure will increase nominally inversely in proportion to the
change in S (as a consequence of the inverse square law of sound  lield spreading).

     The calculations reported here were performed for two different measurement surfaces and three
different subsets of the measured data as follows:

                                       Near-Field Calculations

Label          Calculation Procedure

NF 1      Conformal surface—  (defined by Fig. B) - all appropriate measurement positions (see below).

KF 2      Conformal surface - engineering method, 8 measurement positions.

HF 3      Conformal surface - survey method, 5 measurement positions

KF 6      Rectangular surface - all measurement positions.
  The conformal surface of radius r is that surface which is defined by being everywhere  a  distance
  r from the nearest point on the envelope of the principal radiating surfaces of the  source.   (See
  Figure 8).
                                                  Ill

-------
                           w
                     SECTION BB
                                                        W
                                                             PLAN
                                            VNWMW^WroS^^
                                                             SECTION AA
 Figure  8  Conformal surface at  a  distance r from a rectangular box
BF 7      Rectangular surface - engineering method, 9 measurement positions.

NF 8      Rectangular surface - survey method, 5 measurement positions.

     The label above refers to the label of the calculation procedure as it appears  in Tables  5-1-5-17
and Table 6.  The references to engineering and survey methods refer to ISO Draft International
Standards [2] For Sound Power I. ./el Determination (DIS 37 l& and DIS 37>*6, respectively).   The data
vere taken on a rectangular measurement surface (e.g., with square corners) rather than a conformal
surface, therefore some modification of the /data set was required for the conformal  surface calcula-
tions.  The modifications were as follows:—'
NF-1 -
          Data points near edges and corners were included if the data points were with the surface's
          corresponding distance from the source surface r  such that:.
          Sc(l) £S
                          1.125 Sc(l)
          (S_(r) = 2hU + w + nr) T S.v + TIT (i + w) + 2irr )
            c
          This results in retaining some measurement positions (near edges and corners)  which would be
••"Since all of the compressors in this study were contained within rectangular shaped enclosures,  the
  envelope taken for the source was also rectangular in shape, and of dimensions I, w, h where 8. and
  w are the length and width of the enclosure respectively, and h is the height of the top of the
  enclosure above the reflecting plane.
                                                  1.2

-------
 NF-2 -
as much as 0.5 dB below the the expected value if inverse square  si   dding applies on the
measurement surface.  The actual number of measurement positions  ui  * in each HF-1 calcula-
tion are identified in the data tables.  It should be noted that  most of the measurement
positions do lie on the measurement surface.   An estimate of the  maximum downward bias
(AL(P)) introduced by including those points  not on the measurement surface is  -0.2 dB £AL
(P)<0, vith the maximum error decreasing as source size increases.

The ISO draft standard engineering method prescribes an eight point measurement array for
use with a conformal surface.  These eight points have position corrdinates as follows (for
a source of dimension £, w, h):
Pos. No.
1

2

3

h

5
6
7
8
X
a

0

—a

0

a/2
-a/2
-a/2
a/2
Y
0

b

0

-b

*!
D!
~bl
~bT
z«
hl
1
h
1
hn
1
h
1
h2
h2
h.2
ho
          Where:  a = 1/2  fc +  r

                  b = 1/2  w +  r

                  c = h +  r

                 b^ = lA  (b + c - r)

                 h2 = 3A  (t> + c - r) <_ c

                 bx = 1/2  (b + c - r) <_ b

          » The origin of  the  coordinate system is on the reflecting plane under the
          center of the compressor.
               The approximation of these positions used in the calculation in this  study are:

               positions 1-U (x, y dimensions as indicated, h^ nearest half integral value
               in metres to calculated value)

               positions 5-8 (x, y dimensions, nearest integral v-lues to calculated value.
               h2 = c).

NF-3 6 -8 The five positions used for both calculations are the positions 1.5 m high, at the center
          of each side, and the position on the center of the top array.  The only difference in  the
          calculation is the difference in the area S used for the measurement surface.

NP-6      All points and rectangular surface used.

NF-7      The nine points  required for this calculation include the five positions used  in NF-3 and
          -8 plus four additional points at the corners of the measurement surfaces.   These  four
          points were approximated by the nearest measurement points.

The effect of these approximations may be treated as equivalent to a positioning error.   The actual
error introduced is a function of the directivity of the sound source — most of the positioning  error
is a lateral displacement on the measurement surface, as opposed to a "radial" displacement  off the
measurement surface.  Therefore, the approximations, in general, represent non-biasing errors which
may or may not contribute to the imprecision of the measurement, but will not tend to produce
systematic bias.

-------
                                     3.3.  Sound Power Level Data

     The results of the sound pover level calculations for the 17 compressors  are presented in Tables
5-1 to 5.17.  Each table consists of five parts including:  a plot of far-field power  level,  a table
of signal quality for far-field and near-field data, a table of far- and near-field power  levels and
differences between near- and far-field power levels, and a table of far-field methodology power
levels and the difference from far-field power level.

     The top of the table is a plot of the 1/3 octave band, far-field sound power level vs frequency.
Underneath the frequency scale is the signal quality code for both far-field and near-field (HF type
6) sound power level data using the same frequency scale as the plot.  The next entry  in the  table is
the sound power level data for far-field and six different near- field calculations as described in
Sections b.l and U.2.  The data are presented in a two line format with the first line containing
A-weighted and linear values plus the one-third octave band sound power level  for band center
frequencies from 25 Hz to ^00 }iz.  The second line of each entry is the one-third octave band sound
power level for band center frequencies from 500 Hz to 10,000 Hz.

     The second group of entries in the data table give the deviations of the  various near-field
calculation procedures from the far-field sound power level.  The sign convention is such  that
positive values imply that the near-field power level is higher than the far-field power level.  The
significance of large individual deviations at low frequencies should be evaluated in the  context of
the magnitude of the signal quality factor, and the fact that large values of  this factor  (greater
than 3) indicates a serious ambient noise problem (which typically caused an over estimate of the far
field power level).

     The far-field methodology data is presented in octave bands, and A— and C- weighted levels since
the data were recorded in this format.  For comparison purposes, the octave band and C-weighted
far-field power level were computed from the one-third octave band data.

-------
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              TABLE OF OCTAVE  SANO POUEK LEVELS

                A      C      11. S    63     125     2SO     SOO      IK     2K      4K     *K

              110.8  1)9.7    19.7  117.6  113.6   108.4  107.S   105.4  IDS.2   102.6   97.9

              113.0  |20.(      .0  118.S  115.3   108.1  109.9   10S.6  104.8   104.8  102.1

                2.2    I.I      .0     .«     1.7     -.3    2.4      .2    -.4     2.2    4.2

-------


120
d no
- »-
 97.4 97.3 95.9 14.2 92.2 90.0
107.7 IIJ.3 78.0 76.0 77.6 J4.5 88.7 91.7 109.2 92.2 94.2 102.2
97.1 98.2 95.7 99.2 99.8 98.5 97.4 95.7 93.3 90.7
107.9 HJ.I 81.1 79.5 80.3 85.5 88.9 92.0 109.8 93.6 94.7 101.3
V7.7 97.3 96.1 59.8 100.3 99.9 97.5 95.1 93.2 91.1
107.8 112.4 77.6 76.1 77.8 84.5 88.1 91.1 108.5 91.6 9i.2 101.4
95.8 97.6 95.3 9V. 2 9V. 7 99.0 97.2 95.3 92.5 90.4
108.9 114.7 79.2 77.3 78.9 85.7 89.9 93.0 110.7 93.5 95.4 103.5
98.5 99.3 96.9 100.2 101. 1 99.7 98.6 96.9 94.5 91.9
DEVIATIONS FROM ff P r.lOBI
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-.» -.4 6.7 1.8 .i -l.J 2.7 -.5 -2.J -1.6 -.7 .4
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I.I .9 J.6 .2 -.2 -.1 J-0 1.2 1-2 1.0 .7 .9
1.4 .9 I.I .7 1.1 l.S 1.2 1.4 .5 .7
-.5 1.2 .9 .1 1.1 -9 -9 1.6 -.2 -.0
2.1 2.J l.J -2.0 -1.6 .1 4.0 2.2 2.1 .9 1.4 3.1
1.2 2.9 1.9 I.I 2.5 1.6 J.3 3.2 1.8 1.5
TASIE OF OCTAVE (AND POWER LEVELS
* C 11.5 / 63 125 250 500 IK 2K 4H
106.8 US.O »7.5 108.1 101. t 108.0 IO2.1 102. T 101.2 95.4
FM f-l(lf) HETHODOtOGr Put 107.1 111.4 .0 110.4 103.0 107.5 102. B 101. « 101.6 91.*
DEVIATIONS OF

FF MTH FROM FF l.O .4 .O I.T 1.2 -.5 .7 -.9 .4 2.O
47
200 25
9K.2 101
87.3 87
0 315
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.3 106.3
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9B.4 101.6 106.0
86.3 86.2 82.3
99.0 102.8 106.5
35.4 85.9 81.6
99.6 102.8 106.9
86.3 86.6 82.8
98.7 102.0 106.5
87.0 87.1 83.0
99.1 101. 1 105.6
85.9 86.1 82.0
100.9 104.2 108.3
87.5 87.8 84.0


-l.O -l.J -1.0
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1.4
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-.9 -.5
.7 .2
-.4 -.3
.6 -.7
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2.7 2.9 2.0
.2 .3 .7
8K
89.4
92.7
3.1






400
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98.9
79.5
96.1
77.8
98.1
77.0
99.5
78.0
96.5
78.4
98.1
76.0
100.9
79.3

-1.7
-.8
.6
-1.5
-.4
-l.l
-.8
-1.5
2.0
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-------
                                    t»«t Nuttwr
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                           SlKINI) FlWKH I.KVEL DATA

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115.4

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114.4

116.8

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121.2

120.9

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124.6

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84.0
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83.6
99.7
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91.2
104.*
25
610
80.4
101. 0
81.5
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88.6
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84.7
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86.9
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90.1
108.0
11.5
800

100.9
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102.5
84.4
101.8
89.4
102.5
86.3
103.7
87.7
102.0
91.1
101.7
40
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86.0
102.2
84.7
102.5
87.7
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102.5
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50
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103.1
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1O4. 3
98.7
106.4
61 80 100
1.6K 2K 2.5*
116.0 ICO. 4 1O5.2
101.8 106.1 105.1
1S7.1 100.4 10&.7
104.7 107.9 107.2
114.7 99.3 l'.6.1
104.1 107.0 106.1
119.0 103.3 109.1.
107.1 109.1 105.9
118.1 101. » IOJ. !
105.9 109.0 108.4
117.5 102.0 107.7
105.9 109.0 106.3
120.7 105.0 111.0
108.6 110.5 107.1
125
S.IK
115.5
101.4
116.2
102.2
117.6
101.1
118.6
102.8
117.4
101.4
118.0
102.1
120.1
104.0
160
4K
10*.*
96.1
105.1
97.2
105.8
98.0
108.0
98.6
106.5
98.4
107.1
98.7
109.6
99.9
200
SX
109.7
95.7
110.8
96.6
111.7
97.2
111.8
97. S
111.9
97.7
111.2
9t.Q
111.2
98.7
250
6.3K
101.6
96.1
101.9
9&.8
101.6
97.9
107.0
98.7
105.0
98.0
1C5.6
98.7
108.6
99.9
315
8K
103.3
94.0
1C2.9
94.2
102.9
95.0
103.1
95.9
104.1
95.4
102.4
94.9
104.6
97.2
4CO
10K
104.3
90.7
103.3
90.9
102.6
91.8
106.1
92.8
104.5
92.1
104.7
92.0
107.8
94.1
Nf  PML  I


Nf  Ptt.  2


NF  PM.  J


Nf  PKL  6


Nf  PM.  7


NF  PHI  8
 f« FIEIO fVL

 H* FIELD NETHOOOLOCr FHL

            OF ff  ttflH FKON Ff
1.2
.7
2.3
2.3
1.1
1.7
IAM.E
4
113.1
114.6
1.5
1.0 4.1
US
.7 1.9
.2
2.1 9.8
l.T
2.1 5.6
2.7
1.9 1.0
2.7
4.4 l!.5
5.4
OP OCTAVE
X 31
3.1
l.e
2.7
1.1
8.2
5.4
4.1
1.0
6.5
4.1
9.9
T.O
MHO
.5
120.4 87.9
12C.4 .0
-.0
.0
2.8
1.6
2.0
.9
7.0
1.6
1.9
2.8
5.)
1.1
8.T
2.8
POME It
61
116.2
nr.»
1.4
.8
.0
-.S
.3
2.5
1.0
2.0
1.2
1.2
.1
4.1
2.1
LEVELS
111
11*. 2
114.7
-I.I
1.6
.8
-.1
.6
2.0
2.0
2.7
1.9
1.2
1.2
3.5
3.3

250
111.4
HO. 1
-1.1
1.1
.9
.0
1.6
-1.1 -2.1
.3 .7
1.0
1.1
2.1
2.1
1.5
2.1
4.7
*. 8

500
106J
10*. 1
1.1
2.9
2.8
1.2
2.7
1.6
2.7
4.6
4.2

IK
106.
107.
•
1.5
1.9
1.1
.«
4.2
.6
2.6
1.1
2.5
l.O
5.»
1.8

.7
.8
2.1
1.7
3.1
1.4
1.9
2.0
2.5
.7
4.6
2.6

2K
9 110
5 110
t
.0
.0
.0
.9
.9
1.4
1.7
1.6
2.1
2.1
2.1
2.7
2.4
5.2
1.6

4K
101.4
105.5
2.1
1.1
.9
2.0
1.5
2.1
1.1
2.2
2.0
1.5
2.3
3.5
3.0

*K
98.9
102.9
4.0
.1
.7
.0
1.8
1.4
2.6
1.4
1.9
2.0
2.6
5.0
3.8




-.4
.2
-.4
1.0
-.2
1.9
.a
1.4
-.9
.9
1.)
1.2




-l.O
.2
-1.7
1.1
1.8
2.1
.2
1.4
.4
1.3
1.5
3.4




                                                                  48

-------
                                     Te>t Huiaber 5
                             Table 5.5

                      SUUND POtfKK t.KVM. DATA

                      Conpressor Output:  700 dm
                      Knglne/ComjirMcor Typ«: Reciprocallog. Dl«B«i, Stand* d
                      Co»pr«»sor Kile:  1.83x.98xl.50»
             120
             110
       zb  100
              90
                                                                                                                  <*>
                                                                                                                  I.IH
                     TEST
                         "Boa"1 — ' 1600 '
                                                                                      ' 4flba '
                                           BKE-TH1RO OCTAVE BRNO CENTER  FREQUENCIES IN HZ
SIGNAL QUALITY
     FAR FIELD   NTT
     NEAR  FIELD  K  F  T
                             T  T  T  T   T  T
                             N  T  T  T   T  T
               N  T
               T  T
                                                      N   N   N  N
N  N
N  N
F  F
N  N
F  F  F  F  F  F   F
F  F  F  F  F  F   F
        ttSl NUH8ER  5
        COMPRESSOR SURFACE AREA*10.22  SO. MITRES
        CONFORHAL SURFACE AREA(R-1MI.34.76 SO. MfclHES
    Hf iOH ING-inX FREQUENCY
             HIGH FREQUENCY
  FAR FIELD PUL
 Hf  PML 1


 KF  PML 2


 IF  PHL 3


 IF  PHL 6


 NF  PUL »


 NF  PKl 8
                             57 NEAR FIELD  KIC POSITIONS.OF WHICH   33 USED IN NFl
WEIGHTED SOUND POKER LEVELIDB RE 1 PlCUXAItl
A

108.4

S09.6

JOT. 5

109. 1

109.9

lot.*.

109.}

LIN

119.1

119.8

117.6

118.5

119.9

113.7

119.7

20
500
BS.l
97.7
99.6
98. «
81.1
97.5
82.2
93.1
98. *
99.1
81. b
98. *
83.4
99.5
25
630
8T.9
97.7
100. 1
96.8
90.8
97.7
90.9
98.7
99.1
99.1
90.7
9H.8
92.1
99.9
31.5
800
97.4
99.0
101. *
99. 1
96.0
98. 4
97.4
98.6
100.8
100.4
97.5
98.8
98.7
99.8
40
IK
106.8
99.0
i 10,1
100.4
107.1
98.5
107.8
99.0
1 10.1
100.6
107.7
99.1
108.9
100.2
50
1.2K
102.5
101.3
101.5
103.0
9T.5
100.2
98.9
100. 3
101.2
103.6
98.8
100. I
10O.2
101.5
63
1.6K
106.2
99.6
110.9
100.6
109.6
98.5
109.4
98.6
111.3
101. 1
109.7
98.8
110.8
99.7
eo
2K
1)6.4
100.3
116.1
100.3
114.3
48.6
115.4
98.7
116.3
100. 7
115.7
98.8
116.7
99.8
100
2.5K
106.4
95.6
107.1
95.6
103.2
94.3
104.7
94.7
107.1
95.9
103.9
95.8
106.0
95.9
125
3.1K
111.7
94.3
111. I
93.8
104.3
92.1
106.6
92.7
110.7
94.2
105.5
92.1
107.9
93.9
160
4K
107.1
92.2
109.2
92.1
106.6
90.5
106.5
91.0
109.0
92.4
107.6
90.6
109.6
92.2
200
5K
105.9
89.7
105.7
69.5
103.1
67.8
105.1
68. 5
105.7
89.7
105.4
8t>.6
106.4
89.7
250
6.3K
106.5
90.3
106.5
90.0
105.5
83.1
107.0
68. a
lOt. 8
90.3
107.4
86.7
10S. 1
69.8
315
6K
100.6
89.5
100.5
86.6
98. 0
87.1
98.8
87.5
101.0
88.6
98.8
86.0
99.9
88.7
400
10K
100.6
87.9
96.8
84.2
97.5
82.3
98.5
82.4
9V. 1
84.4
99.5
81.8
99.7
83.6
 NF PWL  I


 NF PM.  2


 NF PUl  1


 NF PM.  6


 NF rm.  T


 NF PHL  I
fHH FIELD P"l

FAR FltLD NETHOOOLOCY Pirt.

OEVUUONS OF ff HETH HoH FF
                                                                DEVIATIONS  FROM FF f UK OB I
.7

.4

.8

.O

.5

.4

.7

-1.5

-.6

.a

-.*

.6

14.5
1.1
-4.0
-.2
-1.9
.6
13.3
1.4
-J.S
.7
-1.7
I. 8
12.2
1.1
2.9
.0
3.0
1.0
11.2
1.4
2.6
l.l
*.2
2.2
4.0
.9
-1.4
-.6
-.0
-.4
3.4
1 .4
.1
-.2
1.3
.8
3.3
1.4
.>
-.5
1.0
.0
3.3
1.6
.9
.1
2.1
1.2
-1.0
1.7
-5.0
-I.I
-3.6
-1.0
-1.3
2.3
-3.7
-l.Z
-2.J
.2
4.7
1.0
3.4
-1.1
3.4
-1.0
5.1
1.5
3.S
-.»
4.6
.1
- J
.0
-2.1
-1.7
-1.0
-1.6
-.1
.4
-.7
-1.5
.3
-.5
.7
.0
-3.2
-1.3
-1.7
-.9
.7
.3
-2.5
.2
-.«
.3
-.6
-.5
-T.4
-2.2
-5. 1
-1.6
-1.0
-.1
-6.2
-2.2
-}.«
-.4
2.1
--1
-.5
-1.7
1.4
-1.2
1.9
.2
.5
-1.6
2.5
-.0
-.2
-.2
-2.8
-1.9
-.8
-1.2
-.2
-.0
-.5
-1.1
.5
-.0
.0
-.3
-1.0
-2.2
.5
-1.7
.3
.0
.9
-1.6
1.6
-.5
-.1
-.9
-2.6
-2.4
-1-8
-2.0
.4
-.7
-i.e
-1.5
-.7
-.8
-1.8
-3.7
-3.1
-5.6
-2.1
-5.5
-1.5
-3.5
-2.1
-6.1
-.9
-4.3
 TABLE OF OCTAVE BAND POWER LEVELS

  A      C      11. S    63     125    2JO    500     IK     2K

101.«  119.3   107.I  117.0  113.9  109.8   103.7  104.7  103.7

111.3  119.1      .0  116.8  115.9  111.6   106.1  104.1  105.2

  z'*     -6      .0    -.2     2.0    1.8     2.4    -.6    1.5
                                   4K

                                  97.2

                                101.6

                                   4.4
                                    IK

                                  94.1

                                  99.3

                                    5.2

-------
                                      TMt
                            T.ble 5.6

                    SOUKD FOWEa LCVei. DATA

                     Corrector Output:  100 cfm
                     iBflat/Coxpmsor Type: leciprocattot, Dl«««l. St«nd«id
                     CM«>ret>or Else:  1.52*.67»1.«2«
                120
                uc
             b  100
                 90
                 80
                        TEST     e
        tJS
                                                                               'iflofl '—'4800 '—' *6ofl '
                                             6ME-THIRO
     SIGNAL QUALITY
          FAR FIELD   TTTTTTTTTTT
          HEAR FIELD  TTTTTTTTTTT
      TfSI l»UH*t«  6
      CiKPSf SS'*  SUSFiCS »••[»'  7.24  SO.  HETJES
      CONFORHAL SURFACE AREA(R-1M)"29.32 SO.  METKES
                                                        eCTAVE BRNO CENTER FREQUENCIES IN HZ
                      TTH.  NFFFFFFFFFPFF
                            TMFFFFFF'FFrrFF
                                                                 29 USED IN
T  T
   33  HE IB  FIELU *IC PUS II IONS.OF  .MICrt
  vlIGHTIXG-IU»  FtFOUfNCT
           Hir,n  FKEOUENCY
F4P FIELD P*L
NF Pkl 1


M PWL 2


NF P.HI 1


Nf HI 6


NF Put 7


NF PdL 8
  A    LIN     20
               500
1O9.U 120.6  83.0
             101.*

109.3 121.0  83.7
             102.7

1U8.4 119.5  82.7
             101.9

101.0 121.2  Bo.»
             102.2

110.* 122.0  84.9
             103.B

104.9 120.6  85.6
             101. 5

110.3 122.6  6li.4
             103.4
  25
  630
111.3
 tD.6

111.1
 98.7

111.1
 98.3

113.2
 VB.5

112.*
 99.9

112.3
 98.*
                    EtGHieu  SOUND  PUWEK  LEVELIDB »t
                     31. 5    »0     bJ     6t    60   100
                      dUO    IK    1.2K   1.6K   2K   2.%
                    10%. I  89.1  113.6  IOT.O 111.7 I 1 «.. 5
                                                        46.3
                                                        105.8
                                                                     9o.l  90.0
                                                                                        VS. 3
                                                                          107.9  111.
 97.0  95.6  96.0   V5.6

105.*  89.0 lU.4  107.5  110.
 96.6  95.4  95.6   95.2   96.

107.7  90.4 115.5  109.9  113.
 98.*  97.1  96.9   96.5   96.
 95.8

1IU.2
 96.3

112.1
 95.9
107.0  90.5 114.8  109.1  113.1 115.6
 98.2  96.8  97.2   96.8   97.1  97.2

107.2  89.9 114.4  109.5  112.5 112.4
 98.3  96.5  97.1   96.4   96.t  96.3

109.3  91.9 117.0  111.5  116.2 113.3
 99.9  <-8.7  Se.5   98.0   96.0  97.2
                                                                                             U J. *
                                                                                              93.U
                                                         111.*
                                                          9%.u
                                                          108.4
                                                          -.5.7
                                                          110.1
                                                          9>.v
                                                          112.2
                                                          96.8
                                                          109. d
                                                          96.7
                                                                                             111.4
                                                                                              97.2
 160   200
  4*   5K
109.1 106.)
 93.0  92.0

109.3 106.9
 92.2  91.J

106.6 105.4
 92.2  91.4

107.3 107.0
 92.1  91.1

110.4 107.9
 93.4  92.4

106.6 106.4
 91.4  93.5

10?.7 108.4
 93.4  92.3
 250   315
6.1K.   bi".
105.8 106.6
 96.1  94.4

106.9 107.0
 93.2  91.9

105.0 105. e
 94.3  92.5

105.8 106.8
 92.8  91.5

107.9 108.0
 94.7  93.3

106.0 106.7
 92.1  90.8

107.1 107.u
 94.1  92.8
                                                                    4CO
                                                                    10K
                                                                   106.8
                                                                    92.4

                                                                   106.7
                                                                    8S.5

                                                                   105.9
                                                                    90.1
                                                                   1U7.8
                                                                    50.8
                                                                   106.4
                                                                    69.2
                                                                                        iat.6
                                                                                         90.8
M PKL  1


NF PriL  2


NF PHI  3


NF PML  6


NF PML  T


NF PML  a
   F»«  MUD PML

   f»«  FIELD METHODOLOGY  PML

   DEVIATIONS OF fF BETH  FROM FF
OEV1ATIUMS FkOK FF 6wL(Q&t
.3

•-.6
-.1)

1.4

-.1

1.3

.*

-1.1
.6

1.*

-.0

2.0

.1
1.3
-.9
. 5
3.2
.8
1.3
2.*
2.0
.1
4.8
2.0
-.2
.1
-.2
1.9
-.1
1.1
1.3
1.0
-.2
3.*
1.3
.7
.7
.3
2.6
2.1
1.9
1.9
2.1
2.0
4.2
3.6
.0
.3
-.1
1.3
l.B
1.4
1.5
.3
1.2
2.8
3.*
-.1
-.1
-.2
1.9
.8
1.2
1.1
.8
1.0
3.4
2.*
.9
-.4
.5
2.9
.5
2.1
.8
2.5
.*
4.5
2.0
.2
-.4
-1.4
l.B
.2
1.4
.8
.8
.3
3.6
1.5
.2
.5
-4.3
-2.*
.6
1.0
1.9
-2.1
1.0
-1.2
1.9
l.J
-.2
-2.0
-.3
.1
1.8
1.0
-.6
.9
1.3
1.*
.2
-.8
-2.5
-l.B
-.9
1.3
.4
-2.5
-1.6
-.4
.4
.6
-1.0
-.9
.7
-.9
1.6
.*
.1
-1.5
2.1
.3
1.1
-2.9
-.8
— 1.8
-.0
-3.3
2.1
-1.4
.2
-4.0
1.3
-2.0
.4
-2.5
-.8
- 1.9

-2.9
1.4
-1.1
.1
-3.6
.4
-1.6
-.1
-2.9
-.9
-2. 3
-1.2
-2.8
1.0
-1.6
-.4
-3.2
.0
-1.6
 TA1LE Of OCTAVE BAND POKER LEVELS

  A      C      JUS    6»    »2*    2*0     SOO     IK     I*.     **     •»

109.0  120.0  112.3  116.1  116.7  111.0   10B.*  tOO.7  100.T   9«.7   99.J

110.1  122.2  112.3  11T.I  120.1  U3.S   110.*   99.6   »«.*   99.5   100.8

  l.a    2.*     .0     .8    J.*    l.»     i-0   -l.l   -2-1     ••    1-*

                            50

-------
                                  Toil Humbar 7
                                         T«bl«  S.J

                                SOUND COWER LKVU. DATA

                                  Coepre&sor Output: 160 dm
                                  Enelno/Ccmprettcr Tyj*: Rotary *»
                                  Conpre»sor Sl»«: 2.10x1.28xl.78a
             eo
SIGNAL QUALITY
     FAR FIELD
     WEAK FIELD
                                          •«-THIRD BCVRVE BAND CENTER FREQUENCIES is HZ
1NHNTTTN
FFNNTTHN
T  N
T  N
T  T
T  T
N  H  H  N  F   F
N  N  H  F  F   F
F  F  F  F  F  P  F
F  F  F  F  F  F  T
F  F
F  F
         TEST NIXICR 7
         COMPRESSOR SURFACE  AftEA-14.72 SO. METRES
         CONFOBMAL SURFACE AREA(R-lH)-42.ai SU. METRES
                                                              S7 HEAR FIELD  HIC PUS II IONS.OF HHICH   45 USED  IN  Hfl
«( IbHrlNS-lOM FREQUENCY A LIN 20
HIGH FREQUENCY 500
FA» FIELD PHI 106-9 115.2 82.3
97.0
NF PWL 1
NF PHI 2
NF PM. 3
NF PHL 6
•IF PW. 7
NF PHI 8
107.3 115.6 84.7
98.2
1O7.0 115.6 80.1
97.2
109.0 116.8 82.6
100.2
108.0 116.2 85.0
98.8
108.7 115.5 81.8
99.8
110.4 118.3 84.0
101.6
WEIGHTED SOUND POWER LEVELIOB RE i PICOViTII
25 31.5 40 50 6} 89 100 125 160
630 COO IK 1.2K 1.6K 2K 2.5H 3. IK 4K
79.4 81.5 ,66.8 87.4 97.6 113.3 94.2 94.2 99.8
101.5 95.3 95.6 94.3 93.3 ?3.4 90.5 VI. 3 86.3
82.7
102.2
79.2
100.6
79.5
103.8
Bi.l
102.8
79.5
102.6
80.6
105.2
34.9
96.1
87.5
95.0
82.0
96.1
85.3
97.0
tt.t
96. e
83.2
97.3
90.5
95.9
90.6
95.4
90.7
96.8
91.2
9T.O
90.5
96.8
92.0
97,9
83.7
94.7
83.5
93.5
89.1
95.1
89.4
95.6
88. a
94.1
90.2
96.3
98.5
94.1
98.5
92. S
97.5
93.7
99.1
94.9
96.7
92.9
99.0
94.9
113.9
93.8
113.6
92.9
114.0
93.5
114.4
94.8
112.6
92.7
1 15.5
94.7
94.8
90.9
94.7
90.6
94.7
91.3
95.4
91.7
93.6
90.8
96.1
92.5
94.7
91.5
93.7
90.4
94.4
91.3
95.5
92.4
93.4
90.8
9S.6
92.5
100.5
88.4
99.9
87.3
101.3
87.7
101.3
89.3
100. B
88.3
102.6
88.9
200
5K.
95.5
85.8
96.4
85.5
96.3
84.3
97.3
84.6
97.1
86.4
96.6
83.7
98.6
85.8
250
6.3K
99.6
84. 0
99.9
86.5
100.8
85.3
102.0
85.8
100.4
87.3
101.1
86.2
IOJ.5
87.0
315
an
110.2
82.6
110.2
82.8
110.9
81.3
112.5
82.0
110.8
83.4
111.5
81.5
114.0
C3.2
400
I OK
101.1
76.4
102.0
IS. 8
102.1
76.8
105.5
77.4
102.4
79.5
104. 1
77. J
107.0
78. 5
  NF PM.  1


  Hf nn.  2


  NF PHI  3


  NF PM.  6


  NF PUL  7


  NF Ptt.  8
   *»•  FIELD PHI

   FAR  FIELD NF. THOOOLOGtr *M-

   DtVIATIONS OF FF KEIM FRON FF
                                                                DEVIATIONS FROM FF  PUKOBI
.4

.!
wl
.1

%i

.»
.4 2.«
1.2
.* -2.2
.2
t't
1.0 2.7
1.8
.3 -.S
2.8
l.l 1.7
4.6
3.3
.7
-.2
-.9
2.3
J.7
1.3
.1
1.3
1.2
3.7
3.4
.8
6.0
-.3
,5
3.8
1.7
.1
1.5
1.7 3
2.0 ;
.7
.1
.9
-.4
.0
,4
.2
.7
.0
.2
.1
1.3
.4
1.1
-.8
.8
2.0
1.3
1.4
-.2
2.8
2.0
.9
.8
.9
-.5
.4
1.5
1.6
-.9
-.4
1.4
1.6
.6
.4
.3
-.5
.1
1.1
1.4
-.7
-.7
2.2
.6
.4
.5
.1
.8
1.2
1.2
-.6
.J
1.9
2.0
.5
.2
-.S
-.9
-.0
1.3
l.t
-.«
-.5
1.4
.7
.1
.1
-1.0
-.6
1.5
1.0
1.0
-.0
2. a
.9
-.3
.8
-1.5
-1.2
1.6
.6
I.I
-2.1
3.1
.3
•s
1.2
-.7
-.2
.8
1.3
1.3
.2
3.9
1.0
.0
.2
.7
-1.3
2.3
-.6
.6
1.0
1.3
-l.l
3.8
.6
.9
.4
1.0
-1.6
4.4
-1.0
1.3
l.l
3.2
-.7
5.9
.1
                  I ABIE Or OCTAVE BAND POME* LEVELS

                   *      C      11.5    63     125     250    500      IK     2*      4K      IK

                 1O6.9  115.7    89.9  IU.4  101.7   110.7  105.1   99.9   97.4   93.8    88.1

                 107.1  116.J    «9.5  115.2  104.2   110.4  105^3   99.8   «6.4   94.2    90.9

                    .2    1.0     -.4    I.I    2.5     -.3     .2    -.1   -1.0      .4     2.8
                                                                 51

-------

c no
i-
i-
a
> at
fM
"b 100
tM
IK
- O9
b-
J 90
CO
SIGNAL QUALITY
FAR FIELD
NEAR FIELD
TEST Nl
CONPRt '
CONFOR*
IrE ICHTINC-l
H
FAR FIEID P.'l
NF PMt I
M Put 2
NF PUl 1
NF PHI 6
Nf Put 7
NF Pill 8
NF Put 1
NF Put 2
NF PUt 1
NF PUt 6
NF PWt T
NF Put (
FM FlftD PU
M» FIftO Nt
DEVIATIONS Ol
T.Me 'i.e
SHIWD I-OWE* UVtl. DATA
Tect Kiuber 6 CoapreBsor Output: 125 cf«
Enxlne/Conpre»*or lype: Rotary vane, I'-att, (Jul«t«t
CcupreiiBor Size: 1. 78x1. 30*1.85.
• i * • i • • T •- • i • • • i • • i • • i - • i • • i •
TEST •
fi
I.IK
I \ / \ *~WI
'ai'-s' ' eb"' ' iis ' ' iit ' ' sdff ' ' lobo ' 'zobo' '.oba eoas
6NE-THIRO OCTOVE BPNO CENTER FREQUENCIES IN HZ
*BE« s *•> Htm FIELO MIC PQSHION5.0F WHICH 41 USED IN NF
SDR SURFACE ««f»«13.71 SO. WtRES
1AL SURFACE AREA(K-lK)»*l.i9 SO. HEIR6S
UEIGHUD iOUNU POtiFD LEV El (08 RE 1 PICOUATII
OK FREOUENCV A LIN 10 25 il.> *0 50 65 80 100 US 160 ^00 i
103.1 IU.? 82. J 83.0 8S.6 85.5 90.2 10«.2 91. •> 91. « JjO.6 93.'. 93.2 1(
9S.S 92.2 "»i.T 92.1 89.9 -52.7 90.2 86.8 »8.1 8*. 9 82.9
101. 3 112.8 77.1 7V. B 86.9 84.6 91.3 110.2 93.3 91,9 IOI.J 90.9 V3. 7 1
96.9 93.5 9*.l 92.4 90.4 93.4 90.6 86.8 88.1 85.0 82.3
103.0 112.2 77.9 79.3 85.5 82. B 90.1 109.0 92.3 91.1 101.5 fc9.O 92.8 1
96.5 92.7 93.9 90.5 89.8 94.0 69.5 J5.9 87.2 84.2 81.0
103.9 113.5 76.7 80.2 86.6 83.9 91.2 110.6 93.3 91.1 102.5 90.4 94.4 1
97.5 93.3 94.6 93.0 89.3 90.7 90.1 86.5 88.0 84.4 81.8
104.* 113.8 78.5 81.2 66.8 85.5 92.2 110.9 94.2 92.8 102.2 91.8 94.6 1
97.8 94.4 94.1 91.3 91.1 94.5 91.5 8T.8 89.1 B5.9 81. 1
101.1 112.7 76.2 80.0 86.2 83.1 90. S 109.8 92.5 90.9 101.8 50.2 93.5 1
96.9 92.6 93.7 92.3 89.4 90.4 90.0 87.1 68.4 63.5 81.3
105.4 115.1 77.8 »1.4 07.9 85.2 92.7 112.2 94.8 92.6 103. » 91.6 95.8 1
98.8 94.5 95.7 94.5 90.5 92.1 91.* 87.8 89.3 65.6 83.0
DEVIATIONS FROM FF PMLIDB)
1
50 315 400
3K 8K IOK
'6.9 96. J 97.7
15.4 81.6 76.4
)7.1 96.4 90.0
!5.5 81.0 76.3
X..9 96.6 98.3
14.6 79.6 75.4
>8.6 98.1 99.3
35.2 80.2 75.0
J9.4 97.3 99-0
B6.5 81.9 77.4
37.8 96.8 98.7
34.2 80.0 74.1
10.2 99.5 100.8
B6.3 81.4 76.2
-.1 -.0 -4.1 -3.7 -.» -Z.7 -.1 -.2 .4 -.3 .9 -1-4 -.4 .0 .6 .6
1.0 .5 .2 -1.6 -.1 UJ -.' — » -•» -•» -»•» — " -*-° -»-°
.1 l.l -S.J -Z.B 1.0 -1.6 1.0 1.4 1.4 -.1 1.9 -.0 1.2 1.7 U9 1-6
2.0 1.1 .9 .9 -.6 -2.0 -.1 -.1 -.1 -.5 -1-1 --Z ->•* ->•*
l.J 1.6 -».» -1.8 1.2 .0 2.0 l.T 2.J 1.4 1.6 1.4 1.4 1.5 1.1 1.1
.2.3 Z.2 1.* 1-2 1.4 1.8 1.1 1.0 1.0 1.0 .4 l.l -3 1.0
-.0 -S -*.B -1.0 .6 -i.* .* .6 .* -.5 1.2 -.2 .3 .9 .6 1.0
1.4 .4 -.0 .2 -.5 -2.1 -.2 .3 .3 -1.4 -1.6 -1.2 -1.6 -2.1
«.! Z.I 2.C 2.4 .6 -.6 1.2 1.0 l.Z .T .1
IA84.E OF UCTAVC BAND POUER LEVELS
A C 11. S 61 125 250 500 IK 2* 4K 8K
L 101.1 112.0 (9.6 109.1 101.4 107.4 100. i 96.9 «5.1 90.6 (7.1
rHoootocr put 104.4 111.4 .0 112.1 103.3 106.6 101.9 97.: 95.4 94.1 90.6
: ff ME1H FROM fF 1.1 1.4 .0 2.8 1.9 -.( 1.1 .4 .1 1.5 1.1

52

-------
                    SOUHU POWER I.CTKL DMA

T»«t «u«b«r 9         Cocpreiiior Output:  365 ct«
                      toglne/Coapre.Bor Type:  »ot«ry ..„«, Olexl, (JuIK.d
                      Co«sr«««or 81u:  3.«*1.»J»2.U.
w "0
w
•e »-
o %
|^ too
W kJ
o*
rfg
h, *""
1 80
•0
SIGNAL QUALITY
PAR FIELD
NEAR FIELD
TESt NUMB
CONPRE SSOf
CONFCRMAL
MCICHI ING-LOU
HIGH
FAR FIFLO PML
NF PML 1
NF PML 2
NF PwL 3
NF PUl 6
NF PML 7
NF PML 1
NF PML 1
NF PML 2
NF PUL 3
NF PWl 6
NF PML T
NF PML «
*AR FIELD PML
FAR flFlO METHOD!
DEVIATIONS Of M
TEST •
0
UIN
' ins1"" "~ BS iis ' ' jiu ' ' sdfl ' ''iflbo ' ' zcbo *"™'~4'3o'o~' — "Tofor1 — -1 	 ' — '
ME-TMIRO eCTBVE BRNO CENTER FREQUENCIES IN HI

•* * 63 NEAR FIELD MIC POSITIONS. OF HM1CH 63 USED IN NF1
SURFACE AREA>30.U SO. KETRfS
SURFACE AREA(R-1M).67.06 SO. METRES
WEIGH! to SOUND POWER LE'/tLlDB RE 1 PICOKAfTI
FBEOUfNCY A LIN 20 25 31.5 40 50 63 80 100 125 160 200 250 315 400
FREOUtHCV SOO 63O 800 1* 1.2K 1.6K 2K :.5K 3 . IK 4K Sit 6.3K 6* I OK
98.7 104.5 81.6 83.7 93.8 89.2 88.9 94,0 91.7 91.9 97.0 89.6 92.3 95.1 91.1 92.6
89.4 8S.3 86.0 88.6 89.3 90.2 89.2 89.3 88.0 84.1 83.3 83.9 79.9 78.6
<8.l 10S.1 82.0 84. D 95.3 89. B 89. B 95.2 92.6 92.5 98.1 92.0 92.5 97.0 U9.7 91.1
90. S 81.7 87.5 88.2 88.4 99.3 88. S 87.3 85. B 82.4 80.5 80.5 77.7 75.1
97.1 104.3 81.6 84.0 95.6 88.8 89.1 96.1 92.0 91.4 97.7 92.5 91.8 94.5 86.4 89.4
H9.6 86.3 85.8 87.5 87. « 88.5 88.4 85.7 84.7 81.2 79.3 79.5 76.9 75.3
97.9 106.2 82.4 85.5 99.2 90.1 90.0 96,0 92.3 93.0 101.1 93.3 93.0 95.9 87.9 91.0
91. i 87.6 86.4 87.1 88.3 89.5 88.4 86.1 86.0 82.4 80.7 80.9 18.1 76.3
»».0 105.9 83.4 85.6 96.1 90.7 90.6 96.0 93.4 93.3 9S.9 92.8 93.4 97.8 90.5 91.9
91.3 88.6 88.4 89.1 89.2 90.1 69.3 88.1 86.6 83.3 81.3 81.4 78.5 76.0
»».* IO4.9 82.0 84.5 97.2 88.7 88.6 94.6 91.9 92.1 100.0 92.6 92.2 94.5 86.4 B9.4
89.9 86.1 85.1 85.8 86.7 «7.9 86.9 85.0 84.9 81.4 79.3 79.7 77.3 75.6
»».9 1O7.2 83. J 86.4 IOC. 2 91. 0 VI, 0 97.2 93. J 9*.0 1O2.2 9».2 93.8 96.7 S8.7 91.9
9.2.4, BB. 5 87.3 SS.O 89.3 90.6 89.4 87.0 86.9 83.3 81.7 81.8 79.0 77.2
DEVIATIONS FROM FF PULIDBI
I.I -.6 1.5 -.4 -.9 -.9 -.7 -2.0 -2.2 -1.7 -2.8 -3.4
-».» -.2 .0 .3 1.8 -.4 .2 2.1 .t -.5 .7 2.9 -.S -.6
-2.2 -3.5
-4.7 -3.2
.2 -1.0 -.2 -l.l -1.5 -1.7 -.8 -3.6 -3.3 -2.9 -4.0 -4.* -3.0 -3.3

1*9 »3 2.* .5 -.1 -.1 .1 -l.Z -U* -.8 -2.0 -2,5
• S -2.2 -.9 -2.8 -2.6 -2.3 -2.3 -4.3 -3.1 -2.7 -4.0 -4.2
.t l.T 1.7 2.7 6.4 1.1 2.1 3.2 1.6 2.1 5.2 4.6 1.5 1.6
TABLE OF OCTAVE BAND fOiied LEVELS
* C 11.5 63 12$ 250 500 IK 2K 4K 8K
98. T 104.6 «5.4 96.* 98.1 97.* 15.3 93. 0 94.4 90.4 B6.2
310GV Put 99.9 10*.* 95,3 98. « 100. 0 99. J 96.9 «2.l VI. • 91.0 B8.4
MtIN FROM M U2 .« -.1 2.0 1.3 1.4 1.6 -. » -2.6 .6 2.2
53
-1.8 -2.3
-.6 -.7
-1.4 -2.6
-4.7 -3.2
-2.6 -3.0
-2.4 -.7
-.9 -1.4

-------
                                                  SOUND POWER U:VEI. DATA

                                 Tc*t N tuber 10       Compressor Output:  900 cfm
                                                    En«tne/C41.92 SO. METRES
       CONFORMAL SURFACE AREA (R-1HJ-S4.3* SO.  METRES
                                                            95 NEAR FIELD MIC PUS 11 IONS.OF  MMICH   13  USED IN NF1
   Wt-IGHTlNG-LOW FREO'JtNCT
            HIGH FREQUENCY
 FAR FICLO PWL
 HF PHI  6


 MF PM.  7


 NF PM.  I
                                                       WEIGHTED  SOU1D POWER LEYELID8 RE  1  PICOMATTI
A

1O4.B

104,6

105.8

10*. 2

IDS. I

102.8

101.?

LIN

109.0

109.5

1 10.2

109.1

110. 0

ioe.8

110.0

20
500
•55.7
95.5
98.7
95.7
101.6
46.0
99.0
91.4
»9.1
96.4
99.1
92.*
99.9
«4.2
25
630
90.2
91.6
94.4
91.9
97.7
94. U
91. 8
91.2
94.7
94.5
90.8
V2.4
92.6
93.9
31.5
600
97.4
»5.1
99.3
95.6
99.8
96. U
99.9
93.6
99.7
St.. 2
96.2
92.6
100.6
94.5
4C
IK
94.3
96.9
95.6
95.8
96.1
97.4
95.5
94.1
95.9
96.4
94.4
92.7
96.3
95.2
50
1.2K
93.4
95.1
94.9
94.9
94.9
97.1
94.3
94.6
95.3
95.6
93.7
93.?
95.2
95.7
63
1.6K
9S. 7
95.0
97. O
95.0
96.1
95.9
96.8
95.1
97.4
95.6
95.2
93.5
97.7
96.2
80
2K

-------
                                   Tral number 11
                                      T.Me 5.11

                              SOUND I'llWrK LEVEL BATA


                               Co«pr««0or Output!  100 cf«
                               Enilne/CoKpreuor Type: Rotary •crew.
                               CoapreKor 81i«: 1.78*1.22*1.37.
               10
 SIGNAL QUALITY
      FAR FIELD
      HEAR FIELD
                                                   50      500      tOOD     ZO

                                           ONE-THIRD eCTflVE  BAND CENTER FREQUENCIES  IN  HZ
tl  H
r  N
TTT1TTTTT
TTTTTTTTT
       TEST  NUKBER II
       COMPRf SSOR SURFACE AREA.10.39 iO.  HtlRfS
       CONfORMAL SURFACE AREA(R-IH)-3*.71 SO. KEIRES
  NFICHTING-LOW FREQUENCY
            HIGH FREQUENCY
Fift FIELD PHI
IF PWL  I


NF PWL  2


NF PM.  3


NF PWt  6


NF PWL  7
NNHNFFFFFFFFFF
NHNKFFFFFFFFFF
                                                            39 NEAR FIELD MIC POSITIONS,OF  WHICH   33 USED IN NFl
4
107. T
108. Z
108.2
110.0
109.2
109.5
m. 6
LIN
119.0
119.9
119.9
122.)
120.9
III. I
12). 9
20
500
10.2
98. 1
eo.9
99.0
75.*
91.0
81.7
100.1
81. S
99.9
SO. 5
99.7
83.4
101.5
WEIGHTED SOUND POKER LEV EH Ob RE 1 PICOWATT)
25 11.5 40 50 tl 60 100 125 160
6)0 600 IK 1.2K 1.6K 2K 2.5K ). IK *K
11.2 H3.0 88.2 9U.2 111.0 117.0 9«.8 101. 1 109.1
96.9 96.6 96.5 96.) 97.6 100.5 91.8 93.0 92.3
eo.4
97.9
76.3
97.2
81. 6
98. »
»l.l
99.0
SO. &
96.)
03.5
too. i
«2.6
97.9
•0.0
97.7
83.1
98.8
I).)
98.5
82.0
98.5
»».6
100.}
88.3
96.5
86.4
96.4
88.)
97.7
89.0
97.6
87.7
97.)
89.7
99.2
90,*
96.9
89.6
97.0
92.0
97.2
91.3
97.9
91.1
97.8
93.6
98.6
110.7
98.3
110.7
98.9
11). 2
100.1
lil. 6
99.)
112.0
99.7
11*. 9
101.7
lie. e
101. 0
118.8
101.3
121.*
103.5
119.7
102.0
120.5
102.*
123.1
105.1
100.1
9?. 0
100.0
91.6
102.2
92.*
101.1
92.9
101.1
91.9
103.9
9). 7
10). 3
93.2
103.8
92.9
105.8
9). 9
10*.*
9«.l
10S.1
9). 2
107.*
9S.3
109.7
92.2
110.1
92.5
112.5
9*.)
110.8
93.2
111.*
93.2
11*. 1
95.8
200
5X
105.*
92.5
106.7
92.0
106.5
92.*
107.2
9*.*
107.8
92.9
106.6
9).)
108.8
95.9
250
6.3X
10*. 2
94.0
104.6
9*. 3
10*. 6
93.9
106.2
96.*
105.8
95.)
1O6.*
95.7
107,7
98.0
115
9K
10*. 7
92.8
10*. 6
93.6
104.9
9). 2
106.1
95.7
106.*
9*. 6
105.9
95.0
107.7
97.3
400
10K
97.1
88.1
97.9
85.3
97.1
85.8
100.7
87.5
98.8
86.3
99.9
87.2
102.)
89.0
                                                              DEVIATIONS FRON FF  PMLIOBI
NF P*  1


NF PM.  2


MF PM.  )


NF PM.  6


NF PM.  T


NF PM.  B
fAR FIE1D PHI.

FAR FIELD H
-------
                                   tut Inker IS
                                          T«ble > .u

                                  SOUHIl IIIWKIt I.EVKt DATA

                                   Coapr«BBor Output: 175 cf»
                                   Englno/CoDgireaBor Type:  Rotary ftcrev. G««. Quieted
                                   Coupre.sor SU«:  2.70»1.29«1.«3«
             120
             110
         fa  100
SIGNAL QUALITY
     FAR FIELD
     NEAR FIELD
                                          ONE-THIRD 8CTSVE BfiKO  CENTER FREQUENCIES  IN HZ
7  N
F  P
T  T
T  T
NNTNNNHF
MNTNUNNN
NFFNPFFFFF. FFF
HNFNNFFFFFFFF
        lESF  NUMBER It
        COMPRESSOR SUKHCt A«CA«14.B5 SO. METRES
        CONFOHMAL SURFACE AREA(R-1M).42.61 $0. MEIRES
                                           47  NEAR FIELD NIC POSIT IONS.OF ml CM   41 USED  IN NFl
    KfICHTINC-lOW FREQUENCY
             HIGH FREQUENCY
  F" FIELD PWL
  Hf PM. I


  NF PM. f


  liF PW. I


  Kf PM. 6


  NF PM. 7


  NF PM. a
                »    LIN

              101.1 III.4
              101.1 112.B
              100.6 112.6
              101.1 111.5
              102.0 111.*
              100.8 112.1
                                102.4  114.9

20
500
>2. a
91.6
89.4
91.7
82.6
91.5
(2.9
91.3
90.1
94.6
82.6
92.1
84.0
94.4
WEIGHTED SOUND POWER LEVELIDg Rt I PICOVATI)
25
610
01.0
92.5
88.4
»2.9
82.4
92.5
Bl.O
92.6
B9.1
91.8
82.6
92.0
B4. 1
91.7
11.5
800
84.8
91.9
88.7
92.0
85.8
92.1
66.2
92.1
89.5
92.9
86.5
91.6
87.1
91.2
40
IK
90.8
90. «
92.1
90.8
90.6
90.1
91.1
90.6
93.1
91.7
90.7
90.4
92.2
91.8
50
1.2K
8V. 1
88.1
90.5
B8.9
89.5
88.0
90.1
88. 5
91.1
89. B
89.9
as. a
91.1
B9.6
61
I.6K
100.2
88. J
102.4
• 8.3
101.8
88.2
102.2
88.5
101.1
89.8
100.7
88. a
101.7
89.6
80
2K
111.2
90.0
112 .9
89. B
111.0
88.5
114.0
89.6
113.9
90.7
112.2
89.5
115.5
90.7
too
2.5K
92.7
89.1
91.6
88.8
"2.1
88.6
92.5
89. a
94.5
89.7
91.9
89.7
91.7
90.9
125
3. IK
12.8
94.9
91.5
94.1
91.8
94.5
92.2
96.4
94.1
95.0
91.7
95.7
93.3
97.4
160
4K
*•}.!
85.0
98.4
84.8
96.7
81.9
97.0
84.4
99.2
85.7
97.4
84.1
96.1
85.5
200
5K
92.4
84.9
94.7
82.4
92.1
62.1
91.4
81.8
95.4
81.4
92.9
81.2
94.6
82.9
250
6. IK
94.9
86. 2
96.1
83.7
93. i
84.2
94.0
85.2
96.9
84.7
94.3
84.0
95.2
86.1
115
6K
92.3
81.8
92.7
80.6
92.2
81.5
92.4
81.0
93.6
81.8
91.5
60.4
91.6
82.2
400
I OK
93.8
79.1
93.6
76.6
93.2
77.8
91. 1
75.6
94. 7
77.8
91.3
74.2
94.2
76. a
 NF PH.  |


 MF PM.  2


 NF PM.  1


 NF PM.  6


 NF PW.  T


 NF PM.  I
 F»« FIELD PML

 F«R FlflO MEIHOOOLOCv Pill

 DEVIATIONS OF  FP  MEIM FROM FF
DEVIATIONS FROM FF
.0
-.5

.2

.9

-.3

1.3

1.4 6.6
.1
1.2 -.2
-.1
2.1 .1
-.3
2.4 7.3
1.0
.» -.2
-.«
3.5 1.2
.6
5.4
.4
-.6
.0
-.0
.1
4.1
1.1
-.4
-.»
t.l
1.2
3.9
.1
.2
1.4
.2
4.7
1.0
I.T
-.1
2.5
1.1
1.5
-.1
-.8
.1
-.3
2.1
.8
-.1
"•*
1.4
.9
1.4
.8
-.1
1.0
.4
2.2
1.7
.B
.T
2.2
1.5
2.2
.5
-.1
2.0
.2
1.1
1.5
.5
.5
1.5
1.3
PULIOB1
1.7
-.2
-1.5
2.B
-.4
2.7
.7
1.0
-.5
4.1
.7
.9
-.5
-.7
-.2
.5
t.B
.4
-.*
.4
1.0
1.4
.7
-.8
-.4
-.6
1.5
1.5
.1
•rl.l
.B
.5
2.5
-.7
-.2
-1.1
-2.1
-.6
.1
.7
-1.7
-.7
-1.0
.5
2.3
-2.5
-2.6
1.0
-3.1
3.0
-1.5
.5
-1.7
2.2
-2.0
1.2
-2.5
-2.0
-.9
-1.0
2.0
-1.5
-.6
-2.2
.1
.1
-.1
-1.2
— .6
-2.1
-.4
-2.8
.8
-2.0
-1.3
-1.4
.8
-1.6
-.2
-2.5
-.6
-1.1
-.7
-1.5
.9
-I.I
-.5
-4.9
.4
-2.1
                !«BIE OF OCTAVE BAND POWER LEVHS

                 •      C      11.5    63     125    250    500      IK     2K

               101.1  III.*    92.1  111.6  lOO.B   98.3   96.1    95.1   94.0

               10J. 7  115.0    «2.2  115.0  102.2   9*. 7   9S.7    94.6   95.4

                 2.6    1.1     -.1    3.4     1.4     .4    1.6     -,9    1.4

                                             56
                                                                      4K

                                                                     95.7

                                                                     9)7. B

                                                                      2.1
                                                                       •K

                                                                      88.7

                                                                      92.4

                                                                       1.7

-------
tzo
d n°
hJ
_J
•C 1-
IS
••N
|"b 100
V) W
s:
u a
8 -
•0
SIGNAL QUALITY
FAR FIELD
NEAR FIELD
TFST NUMB
CQWRE'.SO
CONFORMAL
HE IGHTING-lOW
HIGH
(1C FIELD P«L
M PM. 1
Nf PWL J
MF PM. 1
NF Put 6
Nt- PHI T
NF F«. 6
•IF PW. 1
NF PM. 2
NF PM. 1
NF PM. 4
NF PM. T
Hf PM. I
F»« FIELD rut
FA* FIFIO HETMO!
DEV 1*1 IONS or F
T.*l« 5.13
SOUND POKKK LKVtl. DATA
Test Kuaber 13 Conpreasor Output: 175 cf»
Engine/Compressor Type: Rotary screw. Diesel. (Juleted
Compressor Stie: 2. 70»1 . 29.1 . t )»
TEST 19
0
LIN
/ \ A-WT
'si'.S'" ' fci ' ' ifa ' ' jiu ' ' Swfl ' '" iobo ' 'zobo ' • 4t-bo sobs
ONE-THIKO OCTRYE BUND CENTER FREQUENCIES IN HZ
(ft 1} *7 WFAR FI€LO MIC POSITIONS. OF rfHlCH 43 USED IN NF1
« SURFACE »«t»-l<,.«'i SU. HETRFS
SURFACE AREA(R=1M)«*2.6J SO. MF.TPES
«ICHTtD SOUND POWER LfVELIOS «E I PICOi<»Trl
FRf&UE-iCV » LIN JO Z» Jli> *0 io 6J 80 100 125 160 200 250
IOU* lOft.B »0.» 80.* 81. 7 ST. 7 68.2 9J.S 10*. 2 87.7 B8. J  It,.
9J.U 90.6 93.5 9*. 3 91.0 VO.O 90.6 VO.l 92.9 88.3 66.1 85.
JOl.l 107.2 83.0 80.5 82.5 89.0 88.7 9*. 1 10^.7 88.* 89.1 92.9 9*. 2 97.
93.* 90.7 93.7 9*.l 91.1 90.* 9O.B 38.6 90.3 87. O 63.0 82.
V9.1 105.5 77.9 77.0 81.* 08.8 88.7 93.1 103.5 i5.6 86.6 93.1 89.5 93.
90.5 88.9 93.* 92. C 89.2 88.7 88.* 85.9 88.5 85.2 80.9 81.
99.2 105.6 79. J 79.2 83.0 9O.O 89.7 92.7 103.0 66.8 86.1 9*. 1 91.8 95.
90.1 89.1 93.1 92.0 89.3 38.9 68.* 86.2 88.* 85.0 80.6 81.
10*. 0 108.1 81.0 81.3 63.5 89.9 89.6 95.1 1 05. 7 89.2 89.9 93.7 9*. 9 98.
9*.* 91.6 9*. 6 9*. 9 92.0 91.3 91.7 89.7 91.3 88.0 8*.0 83.
99.* 105.6 19.1 78.9 81.9 89.6 89.* 92.5 102.7 87.3 88.2 93.1 91.1 93.
90.* 89.3 93.5 92.8 89.5 89.* 68.9 87.* 88.4 86. 0 80.9 80.
100.3 106.8 60.5 «0.5 8*. 3 91.2 90.9 93.9 10*. 2 88.0 89.2 95.1 93.0 96.
91.2 90.2 9*. 2 93.0 90.* 90.1 89.6 87.3 89.6 86.2 62.0 82.
DEVIATIONS FRON ff PWLIDB)
.» .1 .1 -.2 .1 .* .0 -1.3 -2.6 -1.3 -3.1 -2.
-2.> -l.l -2.S -3.* -.5 I.I .5 -.* -.7 -2.1 -1.5 1.2 -3.* -2.
-2.S -1.7 -.1 -2.3 -1. 8 -1.3 -2.* -*.2 -*.* -3.1 -5.2 -*.
-2.2 -1.2 -1.2 -1.2 I.) 2-3 .5 -.8 -1.2 -.9 -.2 2.2 -l.l -I.
-2.9 -I.S -.» -2.3 - .7 -l.l -2.* -3.9 -*.S -3.3 -5.3 -*.
315 *00
6K iOK
S 8"». 8 8B.O
* 83.2 77.9
* 90.3 88.3
7 60.0 7*.*
8 67. 1 87.0
2 78.* 72.9
0 66.6 88.0
1 78.0 72.5
Z 91.1 69.2
7 81.0 75.*
9 86.5 88.1
9 76.6 72.0
1 S9.6 89.1
2 79.1 73.7
9 .5 .3
7 -3.2 -3.5
7 -1.9 -1.0
2 -4.8 -5.0
5 -1.2 .0
3 -5.2 -5.*
I.* 1.0 l.l .6 .0 1.3 .9 -.* -»-* -.3 -2.1 -1.7 -?-2 -2.5
-2.0 -1.2 -l.l -I.S .2 1.9 .2 -1.0 -I.S -.* -.1 1.2 -1.8 -2.6 -1.3 .1
-2.6 -1-3 -.0 -1.5 - .5 -.6 -1.9 -2.7 -4.0 -2.3 -5.2 -4.5 -*.6 -5.9
-l.l -.0 .1 .1 2.6 3.S 2.7 .* -.0 .3 .9 3.2 .1 -.* --O l.l
-l.« -.* .T -l.l -.6 .1 -1.2 -2.8 -3.3 -2.1 -*.l -3.2 -*.l -*.2
T»»IF OF OCTAVE CMiD POHEP. LEVELS
A C 31.5 6) 125 250 500 IK 2K *K •"
101.* 107.J §9.1 IO*.T 9*.S 9».7 »S.« 97.9 95.1 94.8 »7.9
XllDGY PUL 103.5 101.2 .0 10*.l V6.0 98.* 96.9 97.4 94.6 96.0 42.1
f NHH FRO" FF J.I -.1 .0 -.» l.» -••> l.l -.» -.* ••* *-*

-------
                 T.ble  VU

         SUUND FOVfK LKVKL DATA

ll«       CoBprrv&ur Output: 185 cfa
         Englne/Conpresaor Typet Rot.ry screw. Ore.el.  sr.nd.rd
         Compressor Slie: 2.70«1.29xl.«)«
KU
•£ *-
M *-
Ot IT
S"fa 100
5«
« 80
•0
SIGNAL QUALITY
FAR FIELD
TEST 14

, A
A *~WT
/ ^AV"~V^V
jl.S 63 125 250 500 1000 2000 4000 8000
ONE-THIRD OCTAVE BRNO CENTER FREQUENCIES IN HZ
UM hU«»E« 14 47 NEAR FIELD NIC POSITIONS. OF HHICH 43 USED IN
COMPRESSOR SURFACE ARfA«14.»5 SO. METRES
CONFORMAL SURFACE ARtA ( R=1M) •<• 2.6 > SO. METRES
HEIGHT ING- LOU
HIGH
FAR FIELD PHL
Xf PUL 1
NF PUL 2
NF PHI )
NF PHI 6
NF PUL 7
NF Put 8
NF PUL 1
NF PUL I
NF PUL 3
NF PUL 6
Mf f«L T
NF PHL 1


FAS FIELD PUL
HEIGHT tO SOUND POWER LEVELIDB RE 1 PI'.OKtTTI
FREOUEHCY A LIN 20 25 >1.5 40 50 63 60 100 125 16C 200
FREQUENCY 500 630 800 IK 1.2K 1 .6K 2K 2.SK 3. IK 4K 5K
99.) 104.5 85.6 79.0 81.4 88.4 91.9 90.5 S9. 3 89.1 88.7 92.8 90.8
88.9 90.2 90.6 91.3 91.6 88.7 6C.8 86.) 88.4 84.0 82.4
•»9.4 IDS. 2 89.3 65.6 85.4 89.8 93.8 91.5 100.1 90.0 90.1 94.7 91.9
89.3 90.4 41.0 90.9 91.6 89.5 88.9 86.) 88.5 84.6 82.2
98.7 104.2 86.7 79.5 82.1 88.8 94.1 91.4 99.7 87.9 87.0 91.8 89.2
90.0 90.1 90.7 90.3 91.3 89.0 87.8 85.) 87.7 83.2 79.7
99.0 104.4 86.9 80.2 81.1 89.7 94.0 91.3 100.0 88.7 87.1 90.6 90.3
89.6 90.2 91.1 90.5 91.4 89.6 88.4 86.2 87.7 83.3 80.2
100.4 106.2 90.1 86.3 86.2 90.6 94.7 92.7 101.3 90.8 90.9 95.5 92.7
90.* 91.* 92.0 92.0 92.6 90.5 89.8 87.2 89.4 85.5 83.2
49.2 103.7 87.1 80.2 82.3 89.5 94.9 91.2 99.6 89.0 88.1 90.4 90.0
90.0 90.2 90.7 90.4 90.9 89.6 88.5 85.9 88.0 83.7 80.1
100.2 105.6 88.1 81.* 84.2 90.8 95.0 92.5 101.3 89. : 88.3 91.8 91.5
90.7 91.3 92.2 91.6 92.5 90.8 89.5 87.4 88.8 84.4 81.3
DEVIATIONS FROM FF PHI (OBI

-.6 -.3 1.1 .5 .7 .* 2.2 .9 .4 -1.2 -1.7 -1.0 -1.6
I.I -.1 .1 -1.0 -.3 .3 -1.0 -1.0 -.7 -.8 -2.7
-.3 -.1 1.3 1.2 1.7 1.3 2.1 .a .7 -.* -1.6 -2.2 -.5
.7 -.0 .5 -.8 -.2 .9 -.* -.1 -.7 -.7 -2.2
I.I 1.7 4.5 7.3 4.8 2.2 2.8 2.2 2.0 1.7 2.2 2.7 1.9
l.S 1.2 1.4 .7 1.0 1.8 1.0 .9 1.0 1.5 .8
1. 1 .0 .1 -.9 -.7 .9 -.3 -.4 -.4 -.3 -2.3
.9 1.1 2.5 2.4 2.8 2.4 3.1 2.0 2.0 .7 -.4 -1.0 .7
1.8 1.1 1.6 .3 .9 2.1 . .7 1.1 .4 .4 -1.1
TABLE OF OCrAVE (AND POME* LEVELS
* t 31.5 63 125 250 500 IK 2K *K IK
99. 3 104.7 119.6 100. S 95.* 97.6 94.0 96.0 42.* 90.5 (5.6

e
UK




HH
250
6.3K
93.9
83.4
94.3
83.2
91.6
81.3
92.1
82.2
95.0
84.1
91.8
81.8
93.2
8). 3


-2.3
-2.1
-1.8
-1.2
l.l
.7
-1.6
-.7
-.1









315
8K
93.1
80.4
93.5
82.1
90.5
76.8
91.0
77.2
94.)
82.9
90.8
76.7
92.1
78.4

1.7
-2.6
-3.6
-2.1
-3.2
1.2
2.5
-3.7
-1.0
-2.0









400
10K
88.4
75.1
91.2
77.6
67.7
69.9
88.)
70.6
92-0
78.4
88.6
70.4
89.4
71.8

2.5
-.7
-5.2
-.1
-4.5
3.6
3.)
.2
-4.7
1.0
-3.3



FAR FIELD KETHDOOLOCr rui IO0.9 105.1 .0 101. 0 97.3 96,8 96.1 94. T 93.3 92.2 92.3
DEVIATIONS OF FF
METH FROM FF 1.6 .4 .0 .5 1.9 '.* 2.1 -1.3 .5 1.7 6.7



                    58

-------
                                    Te.t »u»b«r 15
                                           Table 5.15

                                   SIIUKI) riWER LKVtL DATA

                                   Cofl^>re*£ur Output.: 175 cf»
                                   Knglnc/Compressor Type: Rotary cere*. C*«, Standard
                                   Co«j,r. 0  86.4 IDS.) 117.8   9*. 9  105.1 113.4 106.4 105.1  103.1  101.3
                                            102.5   98.9  19.2  97.9  'vi.l  98.5  99.0   93.6   95.5  92.1  89.4   39.8   61.7   84.3
 NF  PWl I


 NF  P«l 2


 NF  PHI i


 NF  P* 6


 NF  PUL 7


 NF  PHI 8
            109.8  120.0  78.9   79.0  82.0  68.4   87.5  107.1 118.7
                        101.9  100.4 100.6 100.2   98.1   99.4  99.3

            110.1  119.8  78.S   78.5  81.9  87.9   86.5  1O5.8 117.)
                        105.1  100.2  V9.9  99.6   98.1  100.0 100.1

            111.2  121.3  79.4   78.9  82.1  88.7   87.7  107.5 119.1
                        106.6  101.6 100.5 100.4   98.6  100.3 100.2

            110.7  120.8  79.7   79.9  82.8  C9.2   88.}  107.8 119.3
                        104.?  1O1.2 101.5 101.1   98.9  100.3 100.2

            110.7  120.6  79.3   79.0  81.4  88.7   88.0  107.1 118.7
                        105.8  101.1 100.2 100.2   98.9  100.1 100.0
                                                            95.4 104.3 113.9  106.7  106.4 103.6 102.9
                                                            95.1  97.5  93.7   91.2   90.9  88.2  81.0

                                                            95.3 105.5 115.1  106.0  107.4 104.2 102.4
                                                            95.1  97.2  93.9   91.3   91.4  88.9  85.7

                                                            96.1 106.7 116.4  109.3  109.0 105.7 105.6
                                                            95.7  97.9  94.3   91.3   91.9  89.0  85.2

                                                            96.3 105.5 115.1  107.7  107.3 104.5 103.8
                                                            95.9  98.3  94.5   92.0   91.9  89.1  U4.9

                                                            94.7 106.0 115.7  108.5  108.6 104.5 104.2
                                                            95.0  98.1  9;.7   91.1   91.6  89.3  84.6
                                112*5  122.7  80.7   80.0  83.3  90.0   89.0 108.9 120.5  97.5  108.0 117.7 110.7 110.3  107.1  107.2
                                            107.6  102.9 101.7 101.6   99.8 101.7 101.5  96.9   99.1  95.5  92.5  93.1  90.2   86.4
                                                               DEVIATIONS  FROM FF PULIDBI
NF  PWl  1


NF  PM.  2


Nf  PM.  3


NF  PWl  6


NF  PHI  7


NF  Pill  I
 FA« FIELD PKL

 FA« Finn METHODOLOGY PKL

 DEVIATIONS OF Fp  KflH F«(IK FF
I.I
1.4
2.5
2.0
2.0
1.1
.6
.4
1.9
1.4
1.2
1.1
-US
1.4
-1.9
2.6
-1.0
4.1
-.7
2.2
-l.l
».»
.3
S.I
-.1
1.*
-.6
1.3
-.2
2.7
.6
2.3
-.1
2.2
.9
4.0
2.6
1.4
1.9
.7
2.7
1.3
3.4
2.3
2.0
1.0
J.9
2.5
2.4
2.3
1.9
1.7
2.7
2.S
3.2
3.2
2.7
2.3
4.0
J.7
.6
1.0
-.4
1.0
.8
l.S
1.4
1.8
1.1
1.8
2.1
2.7
-1.2
.9
-2.5
1.5
-.8
1.8
-.5
1.8
-1.2
1.6
.6
3.2
.9
.3
-.5
1.1
1.3
1.2
l.S
1.2
.9
1.0
2.7
2.S
.5
l.S
.4
1.5
1.2
2.1
1.4
2.3
-.2
1.4
2.6
3.3
-.8
2.0
.4
1.7
1.6
2.4
.4
2,6
.9
2.6
2.9
3.6
.5
1.6
1.7
1.8
5.0
2.2
1.7
2.4
2.3
1.6
4.3
3.4
.3
1.8
1.6
1.9
2.9
1.9
1.3
2.6
2.1
1.7
4.3
3.1
1.3
l.l
2.3
1.6
3.9
2.1
2.2
2.1
3.5
1.6
5.2
3.3
.5
.5
1.1
1.2
2.6
1.3
1.4
1.4
1.4
1.6
4.0
?-5
1.6
-.3
1.1
1.4
4.3
.9
2.5
.6
2.9
.3
5.9
?-l
               TABLE OF OCTAVE  IANO POWER LEVELS

                A      C      11.S    61     125     2SO

              10«. 7  120.0    IT.S  1U.3  114.1   109.8

              110.9  120.5      .O  119.0  111.4   109.1

                2.2     .S      .0     .7    -.7     -.7
                                                 SOO      IK     2K     4K      8K

                                                 10S.9   102.9  102.4   97.8    92.6

                                                 101.2   104.6  102.6  100.6    98.1

                                                  2.1     1.9     .2    2.8     5.5
                                                                59

-------
                 Table i .16

         SUUNII IVUCk l.tVtL DATA

16       CoMpreieor Output: 85 cl»
         Englne/Cumprrasor Type: Rotary ecrev.
         Conprnsor Size:  1.96,1. JO«1.K«
lev
u »0
It*
•C t-
Ul 1-
Is
|b 100
O
0*
w o
It- "
£ 90
•0
SIGNAL QUALITY
FAR FIELD
	 . 	 1 	 • 	 • 	 \ 	 • 	 ' 	 1 	 • 	 • 	 1 	 • —
TEST 16
-*— 1 —









fl
UK
A A










\ \A & •
N \x
i . /. i . . i . . i
31.5 63 I2S ZSO
^
. 1
sdo
V
^\-
. . i
1000

~^-\
• L • • !
2000 «oi

\^.
)0

cv
8000













eNE-THl«0 ACTftVE BRNO CENTER FREQUENCIES IN HI
TEST NUMBER 16
COMPRESSOR SURFACE ADEAM0.36 SO. METRES
CONFOWAL SURFACE AREA (R»1M)»J4.67 SO. MEtRSS
N r
39
NEAR FIELD
MIC POSITIONS
WEIGHTED SOUND POKES LEVEL (09 RE
UF IGHT1NG-LOH FREQUENCY A LIN 20 25 31.5 40 50 63 80
HIGH fRECUENCY 500 630 800 IK l.iK i.6K 2P
FAR FIELD PWL 101.1 111.1 78.7 77.4 79.0 79.5 81.5 103.7 93.2
95.1 93.0 91.7 90.9 89.3 89.4 89.4
NF PKl 1
NF PM. 2
NF PM. 3
NF PM. 6
NF PBL 7
NF PM. 8
NF PM. 1
NF PM. 2
NF PWL »
NF PM 6
NF PUl 7
NF PM. 6


FAR FIELD PWL
101.6 tit. 9 74.8 75.2
96.2 93.8
101.8 112.9 68.7 72.6
96.2 92.9
102.4 111.7 75.4 75.6
97.0 91.3
102.8 113.0 75.4 75.8
97.2 94.7
lOt. 9 112.7 73.8 74.4
96.2 92.8
103.7 115.0 77.1 T7.0
98.1 94.6
.7 .* -1.9 -2.2
1.1 .8
1.1 -.1
1.7 1.9 -1.3 -1.6
2.1 1.7
.1 1.6 -4.9 -1.0
l.l -.2
2.6 1.9 -1.6 -.4
*~2 1.6
TA«IE Of OCTAVE SANO
A C 31.5
101.1 III.* 83.5
FAR FIELD METHODOLOGY PHL 102.5 III.) .0
DEVIATIONS OF
FF MfTH FBOH ff l.« -.1 •*
80.)
92.4
76.0
91.0
78.2
91.6
81.0
93.)
78.4
91.4
79.6
92.6
1.3
.7

-.1
2.0
1.6
-.6
-.3
.6
POWER
6)
104.. 1
I OS.*
1.5
79.8 82.5
91.2 90.2
78.0 80.8
90.7 88.8
79.1 82.5
91.3 89.5
80.6 81.)
92.2 91.1
79.1 81.«
91.2 89.0
80.4 8). 9
92.5 90.7
104.5 94.)
9Q.3 89.7
103.9 93.7
81, V 89.2
105.7 95.1
90.6 89.9
105.3 95.1
91.2 90.6
104.2 93.8
90.6 89.9
107.2 96.6
91.9 91.1
.OF WHICH
33 USED IN
1 PICOUAITI
100 125 160
2.5K 3. IK 4K
90.7 109.2 99.9
86. « 87.1 84.6
92.0
87.4
92.1
87.2
91.6
87.6
92.9
88.)
92.)
87.6
95.1
88.9
DEVIATIONS FROM FF PWLCOBI
.) 1.0 .8 1.1 1.)
.3 .1 .9 .) .»
-1.5 -.7 .2 .5 1.4

1.1 1.8
1.) 1.8
-.4 .1
.1 .5
.9 2.4
1.6 1.4
I f VFl S
125 250
109.7 101.
109.0 101.
-.7
.5 -.2
1.6 1.9
1.8 1.2
.5 .6
1.2 .5
3.5 1.4
2.5 1.7


2.2
1.5
1.6
-e
4.4
2.1

500 I*
5 98.7 95
4 100.0 96
1 1-3 1
.5
.5
.0
110.0
87.5
111.8
86.9
112.6
87.7
111.2
88.5
lll.b
88.2
113.9
89.0
.8
.4
-.2
2.0
1.4
2.4
.1.1
4.7
1.9

2K
93.S
93.6
.1
100.9
85.2
102.4
85.0
103.2
85.8
102.0
86.1
102.2
84.9
104.5
87.1
1.0
2.5

2.1
t.5
2.3
.3
4.6
2.5

4K
90.0
91.4
1.4
200
96.5
83.2
97.9
83.1
98.2
99.5
83.8
98.8
84.1
99.4
83.1
100.8
85.2
1.4
1.7

2.)
.9
2.9
-.1
4.)
2.0

8K
86.4
89.8
3.4
NFl
250
6.3K
99.4
83.7
100.3
83.9
99.9
83.7
99.9
83.7
101.3
84.8
99.9
83.7
101.3
85.1
.9

.5
1.9
l.t
.5
.0
1.9
1.4






315
Ht,
89.7
81.4
89.5
81. I
89.9
81.1
90.3
81.4
90.5
82.1
90.)
80.7
91.5
82.8
-.2

.6
.8
.7
.6
-.7
1.8
1.4






400
10K
93.5
78.3
93.5
77.4
92.9
70.3
93.8
78.6
94.5
78.3
93.3
78.6
95.1
80.0
.0


1.0
-.0
-.2
.3
1.6
1.7





                   60

-------
                                     Tut Number 17
                                          T.Uo 5 .17

                                   BOUND IIIWtK LEVBL DAT*

                                   Conprtaior Output: 150 elf
                                   Engine/Compressor Type: Rot«ry tcrcw, G»t,  st«nd«rd
                                   Conprciaor BUe: 1.93xl.24>l.]6e
              120
        d    no
        5
        St
          £ix
          at
        *"2
          "b  100
               •0
SIGNAL
     FAR FIELD
     NEAR FIELD
                      TEST   IT
                                                                                                                o
                                                                                                                UN
                    "snr
           ~BT"
                    -rir
             ' sic  '—' iob'6'—' iobo'—'  46154'    ' sobs'
                                           ONE-THIRD eCTRVE BBND CENTER FREQUENCIES IN HZ
TFTTNTTT
TNTNNTTT
T  T  T
T  T  T
H  N
N  N
FFFFFFFFFFFFF
FFFFFFFFFFFFF
        TEST NUMBER  17
        CDHPRFSSUR JURFlCt AREA»11-02 SO. METRES
        CONFORMAL SURFACE AREA IK-IK)- 55 .DO  S3.  METRES
                                                             47 NEAR FIELD  MIC  PUS HUMS.OF  WHICH   3! USED IN NF 1
    WEIGHTING-LOW  FUEOUENCr
             HIGH  FREOUENCY
  FAP FIELD PWL
  NF PWl I


  NF Pill ?


  NF PHI 3


  NF PUt 6


  NF PUL 7


  NF PWt 8
                                                        WEIGHTED SOUND POWER  LEV6LID8  RE  I  PICOWATT)
A
103.0
104.4
1D3.6
104.2
105.1
103.3
105.6
LIN
111.6
112.4
111.7
112.6
112.9
111.7
114.0
20
83.9
93.3
90.0
95.0
92.2
94.0
93.0
94.9
90.5
95.7
92.5
91.9
94.2
96.1
25
> 610
9J.1
93.8
B9.6
94.8
90. 8
93.7
92.5
94.1
90.1
95.7
91.9
94. 8
93.9
95.4
31.5
600
39.6
93.4
B9.2
95. 6
90.0
94.5
91.5
94.4
89.6
96.6
90.7
95.7
92.8
95.6
40
It.
99.3
93.1
99.7
94.1
99.0
93.1
99.2
93.0
100.4
94. B
98.6
92.3
100.4
94.2
50
1.2K
99.7
92.6
97.6
94.6
96.8
92.4
98.1
93.3
98.1
95.3
97.9
92.7
99.4
94.6
63
1.6K
100.6
93.1
101.6
94.6
100.1
93.2
100. 1
9J. 7
102.4
95.3
99.4
92.9
101.4
95.1
eo
105.4
91.3
104.7
91.3
101.6
9i. a
102. B
92.3
105.4
94.1
101.7
91.8
104.0
93.6
100
2.5K.
105.3
69.7
105. 0
91.6
103.4
91.1
103.0
91.8
105.4
92.?
102.3
91.1
104.3
93.2
125
3. IK
97.4
92.0
100.8
93.9
101.0
93.5
100.4
94.7
101.2
94.6
99.7
93.6
101.8
96.1
160
104.8
89.5
106.6
91.2
101.0
91.1
109.2
91.1
106.8
91.8
108.5
90.3
ilO. 7
92.5
200
9^-2
BV.5
99.8
88. ft
100.5
68.5
101.4
88.7
100.5
89.2
100.5
87.7
102.9
90.2
250
6.3K
95.0
87.0
97.2
88.1
97.9
68.2
98.4
88.5
97.8
88.6
97. 2
99.9
£9.9
315
6*
95.4
85.4
93.0
85.7
96.7
85.5
96.5
85. 9
99.0
86.1
96.9
84.8
47.9
87.3
400
•.or.
96.9
83.3
96.1
84.-
95.3
85.2
96.3
85.5
96.9
84.7
95.5
84.5
97.6
86.9
                                                               DEVIATIONS FROM FF  CWLIDBI
  NF PWL 1


  NF PWt 2


  NF PWl 3


  NF PWL 6


  NF Ptrt. 7


  NF PWt 8
  F*R FIFLO MfTHODOlOG*  PWL

  DEVIATIONS OF FF "ETH  FROM FF
>4

.6

-2

'. 1

.3

1.6

.a

.1

1.0

1.1

.1

2.4

1.1
1.7
3.3
.7
4.1
1.6
1.6
2.4
3.6
.6
5.3
2.8
-.5
1.0
.7
-.1
2.4
.3
-.0
1.9
1.8
1.0
3.8
1.6
-.6
2.4
.2
l.t
l.l
1.0
-.2
3.2
.9
2.3
3.0
2.2
.4
1.0
-.3
-.0
-.1
-.1
l.l
1.7
-.7
-.8
1.1
1.1
-2.1
2,0
-2.9
-.2
-l.fc
.7
-1.6
2.7
-1.8
.1
-.3
2.0
1.0
1.5
-.5
.1
-.5
.6
1.8
2.2
-1.2
-.2
.8
2.0
-.7
2.0
-1.8
.5
-2.6
1.0
-.0
2.8
-3.7
.5
-1.4
2.3
-. 1
1.9
-1.9
1.4
-Z. 3
2.1
.1
2.6
-3.0
1.4
-1.0
3.5
3.4
1.9
3.6
1.5
3.0
2.7
3.8
2.6
2.3
1.6
4.4
4.1
1.8
1.7
2.2
1.6
4.4
1.6
2.0
2.3
3.7
.1
5.9
3.0
.6
1.1
1.3
1.0
2.2
1.2
1.3
1.7
1.1
.2
3.7
2.7
2.2
1.1
2.9
1.2
3.4
1.5
2.8
1.6
2.2
.6
4.9
2.9
2.6
.3
1.3
.1
l.l
.5
3.6
.7
1.5
-.6
2.5
1.9
-.8
.9
-1.6
1.9
-.«.
2.2
-.0
1.4
-1.4
1.2
.7
3.6
               IA8Lf OF  OCTAVE BAND POWER LEVELS

                A      C     11.5    63     125     250

              101.0  111.9  100.2  107.4  108.4   101.7

              104.2  112.2

                1.2      .3
                                  500     IK     2K     4K     an

                                  99.7   97.8   96.4   94.6   90.}

     99.0  1UT.6   109.3   100.6  100.9   97.1   95.4   96.6   93.9

     -l.Z     .2      .»    -l.l    1.2    -.7   -1.0    1.8    1.6
                                                                61

-------
                                It.  DISCUSSION OF EXPERIMENTAL RESULTS

                                   14.1.  Sound Pressure Level Data

     There are two aspects of the sound pressure level data which are worthy  of  note with respect to
compressor noise measurement — a) directivity of compressor noise, and b)  systematic variation of
noise with elevation above the reflecting plane.

U.I.I.  Directivity of compressor noise

     A directivity index for a source may be defined as[8]

                       DI(0) = Lp(0) - Lp

where     DI(0)  is the directivity index at the angle 8

     L (e) is the sound pressure level at the angle 6

     L      is the average sound pressure level over the hemisphere
             (L  »
-2!*.9 dB for the data in Table 3)
     The range of maximum values of directivity index for A-weighted sound level  for  all  tests was 1.8
dB to 7-6 dB.  As might be expected, the larger values of directivity index were  those  associated with
the larger machines.  For comparison, the maximum directivity index of A-weighted level for the
reference source was 1.5 dB while that for the tone source ranged from 6.9 to 11.1 d3.  The average
value for the maximum directivity index of A- weighted level was 3.k dB, indicating that  compressors
as a group are not substantially directive sources.  Furthermore, because of the  relatively small
directivity of compressors in comparison with tonal sources, we are led to suspect that the A-weighted
level of compressor noise is not strongly dominated by tones.  As a result, it is expected that the
average of a small number of measurements is likely to give reasonably good estimates of  the true
average level over the measurement surface.  For 12 of the 17 samples the side exhibiting maximum
noise level in near-field data was in the same direction as the direction of maximum  level ^n the
far-field.  For two compressors, the direction of the far field maxiKum vas-within +1+5° of the
direction of the side with maximum level.  For three of the compressors — those  with lev directivity
index — the maxima of sound pressure level in the near and far field data occurred on  different
sides.  This may be reasonably attributed to second order effects due to the size of  the  different
sides as well as the typical interference patterns'in the near-field for these sources.  In all three
cases, the maximum directivity index occurs close to the ground in the region of  the  first
interference maximum, so that small elevation positioning errors may contribute to a  false
identification of the side with the maximum noise.  Furthermore, for compressors, the near-field
maximum typically occurs on a short side and the increased area associated with a long  side may in
fact lead to larger intensities in the far-field for the side with the highest value  of average sound
level times area.  It is for these reasons that directivity patterns are only defined in  the far field
of the source where the directivity pattern is independent of measurement radius  [8].

1» . 1 . 2  Systematic variation of noise with position

     It should be noted that both the far-field and near-field sound pressure level data  exhibit
stronger variation with height above the reflecting plane than with change of lateral position on the
measurement surface.  The effect is larger in the far-field data than in the near-field data.  This is
a direct consequence of two facts:  a) interference patterns are a result of the  radiation from two or
more coherent sources spaced some distance apart and b) the principal coherent sources  arc- any
position on the compressor and its mirror image on the other side of the reflecting plane. This may
be predicted if one assumes that all the principal radiators of sound are small and not strongly
correlated to all other radiators.

     This factor is important for a measurement methodology since it implies that averaging in the
vertical direction in the far-field will be much more important than averaging in the horizontal
direction, and also more important in the far field than in the near-field.

                                     It.2.  Sound Power Level Data

     Several noteworthy conclusions can be drawn from the sound power level data [Tables  5.1-5.17].
The first is that for each individual test, for the frequency range above which the signal quality
indicates no background noise problems, to an upper frequency limit of about 2.0  kHz, the deviations
of the near field calculations are predominantly positive and small.  One means for summarizing this
result is shown in Table 6 where the averages of these deviations for 17 compressors  are  shown.  (Note:
points corresponding to signal quality greater than 3 are excluded from the average).  Also shown are

                                                  62

-------
the  computed standard deviations of these  deviations.  The average  deviation may be interpreted  us  an
estimate of the average  bias of the measurement methodology, while  the  standard deviation can be
interpreted aa a measure of the precision  of the methodology.  These  results will be more fully
discussed in the next section.

      Second, the signal  quality code, which classifies the variance of  the signal as tone-like,
noise-like or fluctuating, generally agrees with an estimate of  the presence of a tone from
qualitative examination  of the spectrum (i.e., peaks in the spectrum  correspond to T"s in the signal
quality) except at  frequencies above about 500 Hz-  Also the classification of variance in the
near-field data typically indicates the same or lover variance than in  the far-field data.   These.
observations are interpreted as indicating that the propagation  medium  is not uniform during the
period cf observation at a single position (30 seconds) causing  the interference pattern and thus  the
variance of the signal to change significantly during the observation period.  The cause of  uniformly
high variances at high frequencies is probably due to the fact that tones, when they are present,  are
not  steady, but rather,  shift due to changes in source rotating  speed.   This change in frequency leads
to significant changes in the interference pattern at high  frequencies, which can produce large
fluctuations in mean square pressure at the observation point.   Alternately, unsteady propagation
conditions over a region of a few wavelengths in dimension,  caused by changing thermal and temperature
conditions or changes in their gradients,  can lead to the same effect.


                                                        Table 6.
                                      Average  deviation and standard deviation of average deviation -f
                                      "*« fieid sound power level from f*r field sound power level
                                      for  seventeen portable air compressors,  six nearfield calculation
                                      procedures (see text section 3.2) are shown plus slnllsr statistics
                                      lor  far  flela nethodology.
           LOW FREQUENCY
          MICH
                                              S'AtlSUCS fQJ DEVIATIONS
                                                NEAR  FIELD-FAR FIELD
   Nf 1 AV DEV


    SIGN* DEV


   NF 2 IV OEV


    SIGMA OEV


   NF 3 AV DEV


    SIGH* DEV


   NF 6 AV DEV


    SIGMA OEV


   Hf 7 AV f>f.V


    SICK* DEV


   t>f 6 AV DEV


    iU.KA DEV
A LIN

.4 .7

.5 .3

-.2 .1

1.0 1.0

.5 1.1


1.4 1.2

1.3 1.5

.5 .4

.0 .4

1.4 1.0

1.8 2.5

1.1 1.4

20
i>00
1.6
.9
4.4
.5
-1.0
.2
4.1
1.1
.5
1.2

3.5.
1.9
2.2
1.8
4.0
.5
-. 1
.6
3. 3

l.B
2.4
3.6
2.0
25
630
1.5
.6
4.0
,b
-.5
-.2
3.2
.9
.4
.8

l.l
1.7
2.1
1.5
3.6
.6
-.2
.4
2.9
1.5
1.6
2.1
3.1
1.9
31.5
BOO
1.4
.8
1.8 :
.0
.1
.2
2.4
.7
1.2
.6

Z.S
1.0
2.0
1.7
1.8
.6
.6

2.1
1.2
2.5
1.8
2.6
1.2
40
IK
.8
.2
! 1.1
.7
-.2
-.5
1.4
1.0
.6
-.0

1.5
1.4
1.5
1.1
1.1
.7
.1
-.4
1.6
1.6
1.9
1.2
1.5
1.6
50
1.2H
.6
.5
1.1
.7
-.3
-.4
1-8
l.l
.7
.2

1.7
l.t
1.3
1.4
1.3
.6.
.2
-.1
1.7
1.4
1.9
1.4
1.7
1.3
63
1.6K
1.0
.5
1.2
.b
.2
-.1
1.4
l.l
1.1
.4

1.4
1.4
1.8
1.4
1.1
.6
.4
-.0
1.3
1.5
2.5
1.6
1.5
1.5
80
2K
.7
• *
.a
.1
-.5
-.5
1.6
I. 1
.9
.1

1.8
1.6
1.4
1.2
.9
.7
.1
-.3
1.7
l.fc
2.3
1.3
2.0
1.7
100
2.5H
.8
.2
.6
1.0
-.T
-.5
1.5
i.a
.4
-.2

1.8
i.a
1.5
1.0
.7
1.0
-.3
-.3
1.5
1.8
1.7
l.U
1.-)
1.8
125
3. IK
.7
-.1
.9
1.1
-.2
-.8.
2.4
1.7
. .6
*-.!

2.2
1.9
1.5
.7
1.0
1.1
-.0
-.4
2.2
l.B
1.9
l.l
2.3
1.9
160
4K
.9
.0
.tl
.9
.3
-.6
1.7
1.6
1.4
-.1
V
2.1
1.7
1.7
.9
.7
.9
.7
-.4
2.0
1.5
2.6
l.l
2.2
l.B
2JO
5K
.8
-.7
.6
1.3
-.1
-1.4
1.6
2.1
.,
- .9

1.4
2.2
1.5
.2
.7
1.3
.5
-1.4
1.3
2.2
2. I
.3
1.5
2.3
250
6.3K.
.6
-.9
.6
2.0
.1
-1.5
1.5
2.5
1.0
-1.0

1 . t>
2.9
1.6
-.0
.7
1.9
.4
-1.5
1.6
3.0
2.3
.2
i.a
2.9
315
8K
.?
-.8
.6
1.4
-.6'
-l.i.
1.6
i.a
.1
-1.3

1.5
2.3
1.1
.1
.8
1.3
-.4
-1.8
1.0
2.1
1.4
-.1
1.7
2.4
4CO
10K
-.0
-1.5
1.1
1.9
-.9
-2.2
1.2
2.5
.t
-2.3

2.0
3.1
.6
-.«.
1.2
1.9
.1
-2.7
1.7
2.V
1.9
-1.1
2.2
3.1
ft  MFTH AV DFV

  SI&MA  DEV
                                              SMTISTICi FOR DEVIATIONS
                                            FAR  FIELD HHHUUUl OGV-f AR FIELD
 A      c

US .    .7

 .9    1.0
31.5

-.1

 .5
 63

1.2

1.1
                                                     125

                                                      .9
25l)

-.2

1.0
500

1.3

 .8
 IK

-.3

l.l
 2K

-•i

1.2
 4K     BK

2.0    3.3

l.S    2.7

-------
                                    5.  ANALYH10 OF MEAOUHKMKNT  KHHOB

                                            5.1.  Introduction

       The errors  associated with a  measurement procedure moy be broken  into  three major  components  as
  follows:

       1.   Error associated with the test methodology;

       2.   Error associated with the measurement instrumentation;

       3.   Instrument operator error.

       In  this  section we will discuss estimates of error for various sound power test methodologies on
  the basis of  this experiment and attempt to put some bounds on the first two components of error,
  within the field test environment.  We anticipate that the field test  environment will  include a'test
  site  and  instrumentation meeting minimum requirements of the proposed  ISO Draft engineering
  standard[2).   This implies a flat, hard-surfaced test site, and a commercially available, portable,
  precision sound  level meter, operated under the supervision of a trained test engineer.

                          5.2.  Error in Sound Power Measurement Methodologies
      The deviation of sound power level estimates using near-field pressure levels from estimates
 using far-field pressure levels as presented in Table 6 and plotted in Figure 9 are surprisingly
 small.  Further, they are consistent in suggesting that the estimate of sound power from near-field
 pressure measurements is higher than that of estimates from far field measurements, within the limits
 of sampling error.  This consistent behavior of the data leads us to question whether or not an
 underlying physical principle in fact forces this behavior.  A cursory review of the literature
 [3,9»10] indicates that the topic of analytically relating near-field pressure to sound power has
                                                                  •   With Microphone Directional Response Correction
          I—I	I	I_J
I   I   I   »   I   I  I   »  I   I   I   I   t   i  "I   I   I   I   i   I  I
              31.5
                                                          1000
                                       2000  ,   4000
                                                                                    8000
A.WT   LIN
                                  ONE-THIRD OCTAVE CENTER FREQUENCY, Hz.

Figure 9  Plot of average deviation of near field from far field
          sound power level

-------
received little or no attention.  While a detailed analytic description is beyond the scope of this
work, ve are compelled, baaed on the strength of the data, to advance some hypotheses' In this  area
both to aid in the interpretation of these data, and to suggeot directions for further research.

     We begin by introducing the true sound pover, defined as [1»]

                                      I.(r).«i(r.) dS                                             (5.1)

                                      ~
                                   f
where     W    is the acoustic power radiated by all sources within ZQ.

          !_(£) is the time average intensity vector at a position r_.

          fi(r_) is the unit vector normal to the surface SQ at the point r..

     An idealization of our measurement is given by
                                W" =   f
                                         pg(r)_dS                                               (5-2)
                                           PC
where     p    is the time-average squared pressure at the position r_.

Since the squared pressure is a scalar field, ve introduce a third estimate of power for comparison,
i.e.


                                W =  f  l!(r)| dS                                             (5.3)
                                      s
                                       o
where      |lj  is the scalar magnitude of intensity.

Since      |l(r)l i!(r)-n(rj,

It  is clear that

                                     W' >_ V                                                    (5.k)

     Now, by analogy with the case of geometrical optics, we have^in  the geometric aco-astic limit
(i.e., vanishingly  short  wavelengths for  incoherent noise sources— )  we have that [11]
                                             P  (?)
                               |l(r)| 	—	                                             (5.5)
                                      kr*-°°    pc

vhere     k=2Tj_ is the acoustic wave number  (A  is the  wavelength of sound)
            T
          r    is the distance to the nearest  source

Thus we  may write

                                   W"  = W  >_ W                                                (5-6)

Where  -  indicates asymtotically  equal  to. Thus at  least in the geometric  acoustic  (high frequency)
limit  the near-field and far-field es-cimates  of power for  incoherent noise sources  are asyir.totic to
an  upper bound estimate of the true power.   The degree of over-estimation  is  determined by the degree
to  which the  shape  of the measurement  surface  So conforms to the surface .of wave  fronts from the
source.

     Our concern of course is how this  description holds as wavelength increases.   A cursory review of
the data suggests the hypothesis for  free field over  reflecting plane determinations that

                                     W" > W                          '                         (5.7)
  By incoherent we mean (in analogy with an incoherent or white light source)  that  the  radiation
  from any point on the source has vanishingly small temporal correlation with that from any other
  source point, and its temporal auto correlation approaches a delta function  in time,  such limiting
  processes being taken in a manner which yields a finite power output.

-------
throughout the frequency rnnp.e of meauurcment ,  but we wunt emphanixe that t.hio hypotheoin io vltliout
on analytic banio, for reounurcmcnto in Uio aoouotic netir-field.   It in tempting  to ucck an analytic
Justification for thin hypotheoic boned on a compuritjon of moan  squared preouure with the acalur
magnitude of intensity, but we muat add that such attempts arc met vith considerable analytic
difficulty for all but the simplest oourcea.  For example, consideration of the  simple monopole and
dipole sources in free opo.ce. yield
                                  o
                                 P (£)  2L ll(r)|                                              (5.8)
                                  pc

for all frequencies, but a similar relationship for more complex sources has not been identified.
Thus, though our data are very encouraging, ve must emphasize at this point that there is no firm
analytic basis for near-field sound pover determinations.

     With this preamble, let us now turn to the question of differences between  an estimate of power
and true power.  Equations 5-1* through 5.6 suggest the following partitioning of the error (as
distinct from that proposed by Hubner [3] 5
                                      W
vhere                            6  = rr
                                  s   w
                                                                                               (5'9)
The term 6  is associated principally with the shape of the measurement surface relative  to the
time-average wavefront shape.  Based on Huygens principle, we expect this term to  be nominally
independent of the "radius" of a measurement surface, at least for nearly conformal measurement
surfaces.   The term S (kr) is a frequency dependent term which is a measure of how the change in mean
square pressure due to spreading differs from inverse square law.  Thus, if the source does produce an
acoustic near field, its contributions will occur principally in this term.

     From equation 5.k, the term S  is seen to be always greater than or equal to  unity.   An  estimate
of the magnitude of the tern 6 (kr? is unavailable at this time except at high frequencies where eq.
5.5 indicates that it assymtotically approaches unity.

     Until this point, this discussion has ignored the effect of spatial sampling  on the  measurement
result.  To consider its effect we introduce a third estimate of sound power defined as

                                              £.. W.                                           I* -,M
                                       1=1
where S. is the element of measurement surface area associated with the ith measurement of mean  square
pressure.  If the measurement is designed so that the areas S^ are equal, then

                               S  = N S.

and                                        M

                               Wit. = -2.
                                      pc
     In this form it is clear that the intent of the spatial sampling should be to produce an unbiased
estimate of the average mean squared pressure over the measurement surface.  Thus the expected value
of W" which results from an unbiased sampling plan will equal W".  Thus we are led to expect that
the effect of point sampling will be to introduce an imprecision in the measurement rather than  a true
bias.  Further, the magnitude of this imprecision should be directly proportional to a function  of the
variance over the measurement surface and inversly proportional to a function cf the number of
uncorrelated measurement points used.

     Returning to the data in Table 6, we note that all of the above comments are supported in detail.
First consider the comparison between HF 1 compared with KF 6 which represents the most sensitive test
of the difference between a conformal versus a rectangular surface.  Above 250 Hz, NF6 is a, very
consistent 0.9 dB high with a standard deviation of 0.8 dB or less through most of this range.  A
t-test indicates that this difference is. significant at or above the 99% level.  Thus ve conclude that
the difference between the procedures is statistically significant with the non-conforml surface
producing the higher estimate, and thus that the term 6  is greater than unity as expected.  In  Figure
10, the data for NP1 is plotted versus frequency including the microphone directional response
correction suggested in Section 2.3.  Here"we see a trend for the near field sound power estimate on
the conformal surface to asymtotically approach the far field power with increasing frequency as
suggested by eq. 5.6, but further, moving toward lower frequencies, the upward bias becomes
statistically significant.

                                                  66

-------
     Thus we are led to a corollary of the hypothesis of eq. 5,7, that

                                E (W ") > W
                                                                          (5.11)
 i.e., the expected value of a  sound power estimate based on Bound pressure measurements is  greutor
 than or equal  to the true sound power within the limits  of sampling error for free field over
 reflecting plane measurements.

     We also note from the data in Table 6, that decreasing the number of measurement positions
 generally does not alter the mean upward bias, but does  significantly increase the measurement
 imprecision as suggested by the error model.  This effect is emphasized in Figure 10, where the
 average deviation and standard deviation data of Table 6 are plotted vs number of measurement
 positions for  the A-weighted data.  One notable exception to these trends is the result for NF-7
 calculation procedure (nine measurement points, one on each of five sides, one at each of four
 corners, rectangular measurement surface).  Here, the selection of measurement positions has been
 optimized to minimize bias on  the average for the rectangular surface, but with the result  that the
 increased number of measurement points does not significantly improve the precision of the  measurement
 over that for  five measurement positions (for this sample of data).  From this we must conclude that
 the sound pressure level at the corner positions is correlated with the center points in an average
 sense.
         "
   cr 5 "-
   > 5. uj
   LU Ul __l
   O £UJ

   a: cc "Y
   ujet.cc
   > UJ <
    a
     LU O
     a 
     §S
     CO
              0
                                             i     i

                                                  I
                              8    9

                    NUMBER OF MEASUREMENT POSITIONS
                                                                                 ALL
Figure 10 "Bias" and "precision of A-weighted sound power level vs
         number of measurement positions (17 compressors)
                                               67

-------
         Ul

         §1
         ec j
         UJ UJ
         o oc
         -J UJ
         p
         Is
         Ss
         u.'V
         o ts.
                                                 OHUYOENS SURF ACE INF
                                                 H RECTANGULAR SURFACE (NF 6)
                                                        8 (metres)

                               1           1.25         1.6          2.0

Figure 11 A-weighted sound power  level deviation vs source  size •
2.5
3.2
     Another possible type of bias in the measurement methodology is systematic variation as  a
 function of machine size.  Figure 11 shows a plot of deviation as a function of Eachine size  for the
 HF-1 and NF-6 A-weighted sound power data.  This plot indicates that both measurement  methodologies
 have a significant tendency to overestimate sound power for smaller machines.   This  is indicative of
 the dependence of the deviation from true sound power on measurement radius.  However, it is  probable
 that the microphone angular response problem is a factor in these data as well.  Unfortunately, the
 data for larger machines is too sparse to provide accurate estimates of trends of deviation for very
 large machines, but eq. 5-6 suggests that both curves will have horizontal asymtotes at or above 0 dB
 deviation.

                                    5-3.  Instrumentation Accuracy

     The analysis of measurement procedure error based on experimental data, discussed above, in
 effect eliminates instrumentation error except for microphone angular response, since  we deal only
 with differences in levels measured with the same equipment.  Errors due to bias from  measurement
 system drift are minimized with frequent calibration, while bias from detection of signals is
 eliminated by using the same system in both measurements, etc.  For measurement in the field
 environment however, these cancelations of error do not occur and must be considered in the estimate
 of total measurement error.

     Table 7 provides a listing of pertinent sources of instrument error, their specified values for
 precision sound level meter and the range of expected error for presently available  equipment.

     The largest single source of error is tolerances on the A-weighting response, when that  is used,
 since vith proper microphone size, the error due to angular response can be minimized.  Combining
 these errors leads to a total instrument imprecision (two standard deviations) on the  order of 1.2 to
 1,1» dB for tests made over a small temperature range from the temperature at calibration. (For
 calculations of total error we will use a value of 0.7 <3B for one standard deviation (90? confidence)
 for the instrument error component).

                                                 68

-------
    Table 7-  Instrument  Imprecision  (two  Standard Deviations) Associated with
              Commercially Available  Precision  (Type I) Sound Level Meters
    Property
Standard* Limits
Typical Limits
     Level Calibration

     Frequency Response
     (at  each one-third
     octave  center
     frequency
     A-weighted
     Linear

     Attenuator  Accuracy

     Temperature Stability
     10°C to 60°C
     -10°C  to 60°C

     Detector Linearity
     Crest  factor:   10
     Crest  Factor:   -v  1.7

     Angular Response**
     (+90°,  50 Hz -  10  kHz)
     One inch microphone
     One-half inch  microphone
                                     0.2  dB
   + 1 dB
   i 0.5 dB

   i 0.5 as
   +. 1 dB
   + 1 dB to -5 dB
    . 5
   + 2.1 to -It
                                                              same
   + 1 dB t
   i 0.5 dB

   + 0.5 dB
   same
   same
                              +_ .5 dB to + 1 dB
                              + .5 dB t
   + '1 to -9 dB
   + 0.5 to -4.5 dB
     *  IEC 179,  MSI Sl.U - 1971 [12]

     t  Assuming  Spectra Similar to those measured

     ** For spectra similar to those measured and allowable standard tolerances vs.
        Frequency.
                                    5.4.  Total Measurement Error

     The total imprecision in the measurement procedure is equal to the rms total  of the error
components when they are uncorrelated.

                                      ,2     + e2      + e2        ,1/2
                              total ~    Meth     Instr   e Operator
     The methodology imprecision may be estimated from the standard Aviation, of the difference
between the two procedures.  (Ignoring the contribution of variance of the far field measurements, if
it is not in fact negligible, contributes to make the estimate more conservative.)  The standard
deviation of the deviation from the far field procedure (Sigma Dev. , Table 6)  is a nearly unbiased
estimate of the standard deviation (o) of the methodology, assuming that the errors are normally
distributed.  Examination of the cumulative distributions of the data indicate that this normality
assumption is a reasonable approximation.  However, because of the small number of tests involved,
there is uncertainty associated with this estimate.  To be conservative, we choose  to estimate the
methodology imprecision as the upper end of the 95$ confidence interval for a.

     Neglecting operator error, and using a value of .7 dB for one standard deviation of instrument
error, the range in achievable procedure error for the measurement of A-weighted sound power level is
estimated to be in the range 1.1 to 2.4 dB depending on the number of measurement positions used, as
shown in Table 8.

     The fact that the achieved precision of 1.5 dB for the NBS Far-field Methodology (see Table 6)
(using a hand held sound level meter, and six measurement points)  agrees reasonably well with the
computed total precision of the survey methods, represents some confirmation of the precision
analysis.
                                                  69

-------
Table 8.  Estimated achievable measurement error (95?  confidence)  for measurement of
          A-weighted Bound power Ieve3  of portable air compressors in a field test
          environment using a measurement surface 1 metre  from the source surface
          excluding operator error[13].
Measurement Methodology
Conformal Surface
Laboratory grade
(l measurement per
square metre of
measurement surface)
Engineering grade
(eight positions)
Survey grade
(five positions)
Rectangular Surface
Laboratory grade
(1 measurement per
square metre of
measurement surface)
*
Engineering grade
(nine positions)
Survey grade
(five positions)
Methodologyt
Precision, dB
(l standard
deviation)
.8
1.5
2.3

.8
2.1
2.3
Instrument*
Precision, dB
(1 standard
deviation)
.7
.7
.7

.7
.7
.7
Total
Precision
(l standard
deviation)
1.1
1.7
2.1*

1.1
2.2
2.1*
Probable Inter-
val of Bias**
(90* Confidence)
-.3 to 1.1
-1.6 to +1.2
-1.5 to +2.5

+ .6 to 2.0
-2.0 to +2.0
-2.0 to +3.8
 t  Estimated frota data of Table 6 using the expression (see toxt section 5)

                               a = 1.52 S(Table 6)

   where 1.52 is the upper limit of the 95% confidence interval for a/S based on S
   vith 16 degrees of.freedom (lU).

 *  Assumes Type 1 sound  level aeter (see text, Section 6).

 ** See reference 13, paragraph 3.
                                           70

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                                      6.  CONCLUSIONS

The experimental data and analysis provided in this report support the following conclusions:

(])  An estimate of the "far field" sound power level output of a machine  of  a. type similar to
the compressors studied can be accurately inferred from sound pressure level  measurements taken
on a measurement surface close to the source if:

     (a)  the measurement surface conforms to the source shape;

     (b)  a sufficient number of measurement positions are used consistent with the precision
     requirements of the measurement;

     (c)  a microphone is utilized which has uniform response to sound, incident over any
     directions in front of the microphone over the frequency range of interest.

(2)  Generally, the more measurement points that are used in a sound power level measurement the
more precise the value of estimated sound power.

(3)  Considering total invested measurement cost, imprecision of the results, and  ease of
microphone placecer.t, the ISO Draft International Standard (DIS 371*1*) engineering  method for
sources using a conformal surface represents a most reasonable balance of  these factors for
making noise eirassion measurements for regulatory purposes.

(U)  For the sample of compressors tested, the overall measurement precision  (one  standard
deviation), in the field environment using the methodology of conclusion (3), is estimated to be
+1.7 dB (95£ confidence limits 3.1* dB) ignoring instrument operator error.
                                              71

-------
                                         Y.  AOKNOWl.raXJlWIN't'U

     In any program of this olsse and acopo, a lurp.a nwilier of indivldualn contribute to il.n tiuocpno,
Tlie author in particularly indebted to the following indi.vidua.lu and organizations for thoir
coritri\)Utionn to thin proRrtt.T..

     Appreciution is expressed to the U. S. Army, Mobile Equipment Research and Development Command,
Fort Belvoir, Virginia, for providing the use of a suitable teat site and assistance in the receipt
and shipment of test specimens.

     The author also expresses appreciation to Mr. D. E. Mathevs for design and to the NBS Plant
Division, for construction of the far-field array; and to the following members of the Mechanics
Division, NBS:  D, E. Mathevs, B. R. Fuller, C. 0. Shoemaker, and N. Rekos for their assistance during
the data acquisition phase of the project; G. Hruska for calibration of the microphone cartridges; R.
L. Fisher for prograiriming and systems analysis of the data acquisition system; D. S. Blomquist for
instrumentation design and guidance; J. S. Forrer, J. M. Keinen, C. 0. Shoemaker, and M. Tarica for
instrumentation construction; C. T. Molloy (EPA/OKAC), D. R. Flynn, R. K.  Cook ar.d E. B.  Magrab for
suggestions to improve the theoretical analysis; D. M. Corley for assistance with data analysis and
reduction; K. A. Cadoff and W. A. Leasure for editorial review of the manuscript; and J. Russell, Y.
Morosko, and M.  Hildebrand for typing and assembling the manuscript.

-------
                                           8.   REFERENCES

[l]   American National Standard for the  Physical Measurement of Sound, SI.2-1962, (American
      National Standards Institute,  New York,  Nev York, 1971).

[2]   International  Organization for Standardization Draft Standard for Acoustics — Determination
      of Sound Power Levels  of Noise Sources.   Part k:  Engineering Methods for Free-Field
      Conditions Over a Reflecting Plane, DIS-37'*'*  (American National Standards Institute, New York,
      New York); International Organization for Standardization Draft Standard for Acoustics —
      Determination  of Sound Power Levels of Noise Sources.  Part  6:  Survey Method for In Situ
      Measurements,  DIS-ST^S (American National Standards Institute New York, Hew York).

[3]   For example:   Synrcosium on sound power measurement of machines "in situ", J. Acous.  Soc. Am.
      5i C*)  (1973)  p. 960-98*1.

[It]   Patterson, W.  K., Ely, R., and Muggins,  G., Portable air compressor noise measurement, Report. 279i>£i
      (Bolt Beranek  and Newman, Inc., Cambridge, Massaclnisetts , March 197*0.

[5]   Kearney, A. T., Inc.,  A study  to determine the economic impact of noise emission standards in
      the construction equipment industry — Draft portable air compressor report (U. S.
      Environmental  Protection Agency, Washington, D.  C., December 1973).

[6]   American National Standard Test Code for the Measurement of  Sound from Pneumatic Equipment,
      ?5.1-1971 (American National Standards Institute, Hew York,  Hew York, 1971).

[7]   Baade,  P. K. ,  Standardization  of machinery sound measurement, ASME Paper 69-WA/FE-30 (American Society
      for Mechanical Engineers, Mew  York, New  York, November 1969).

[8]   Beranek, L. L. , (ed.), Noise and Vibration Control, Chapter  6, Section 6.10 (McGraw-Hill, New
      York, New York, 1971,  158-163).

[9]   Morse,  P., and Ingaard, K. U., Theoretical Acoustics, Chapters 6 and 7 (McGraw-Hill, Kew York, Sew
      York, 1968).

[10]  Skudrzyk, E.,  Four.iatior.s of Acoustics  (Springer-Verlag, New York, New York, 1971).

[ll]  Felsen, L. B.  and Marc-avitz, N. , Radiation and Scattering of Waves, Chapter 1, (Prentice Hall, Englewood
      Cliffs, H. J., 1973).

[12]  IEC 179 - International Electrotechnical Commission Recommendation Publication 179  (1965)
      Precision Sound Level  Meters.  AKS Sl.l»-1971 - American National Standard Sl.lt  (1971)
      Specification  for Sound Level  Meters.

[13]  Proschan, F.,  Confidence and "-olerance  intervals for the normal distribution, KBS Special
      Publication 300 (National Bureau of Standards, Washington, D.C.).

[lit]  Pearson, E. S., ar.A Hartley, H. 0., ed.  Biometricka, Tables  for Statisticians, Vol.  1.
      (Cambridge University  Press, 1958)  Table 35, p.  18't, Moments of S/o.
                                                73

-------
HbS 1UA ".»
   i'.'j. O';P r. OF COMM.
  iiiiUGGRAPHic DATA
        SHEET
                       1. ITSU.H A'! ION OK HI-.POKT \O.
2. (,iov'l Accession
  No.
3. Recipient's Acce-.sum No.
4. i! 11 i .\\!i • rn 11 n.i
  PROCEDURES FOR ESTIMATING SOUND POWER  FROM MEASUREMENTS OF
  SOUND  PRESSURE
  An  Lxperiinc-nt.nl  Investigation  with Application to  Noise From
  Portable  Air Compressors
?. AU'lliORtS!
  Curtis I.  Holmer
                                                                       5. 1'uhlicaiion Pair

                                                                           Jan. 1975
                                                                       6. Performing O[f;.ini?:ii ion I oilr
?. I'l.HI (>|V>._3_97& •- Dftr .  1Q7/J
                                                                      14. Sponsoring Agency Code
IS. SUIMM.KMKNTAKY NOTKS
16. AKSTHAC "I' (A 200-word or less factual summary of moat significant information. If document inc/urft-s a significant
   bibl,oGraphy or literature survey, men lion it /irrf.)
    This report  describes  investigations of the  accuracy  and precision  of  various
measurement methodologies for determining the estimated  sound power output of "large"
machines in the free field over a reflecting plane.  Ona purpose of this  investigation
is  to place empirical error bounds  on many of the free field measurement  procedures
currently proposed or in  use; and in particular,  compare the results of "near-field"  and
"far-field" measurements.  The sources used for the investigation included 17 portable
air compressors of various types  (powered by internal combustion engines), a "reference"
sound source, and a loudspeaker driven by a pure tone source.  The data recorded  include
sound pressure  level (A-weighted, linear, and 1/3-octave band) on an 84 point hetnispheri
cal array of  seven metre'radius,  and "near-field" measurements, sampled every square
metre, on a rectangular  surface one metre from  the machine  surface.  These data were
reduced to provide information on the deviation of "near field" sound  power determina-
tions from "far-field" power level  (using subsets of the data as appropriate to various
methodologies).  The measured data  for seventeen sources suggests that the value  of  a
sound power estimate based or "near-field" sound pressure  level measurements may  be  an
upper bound to  the sound  power level estimated  from far  field measurements, subject  to
the limitations of sampling error.   Estimates of total achievable measurement error  of
A-weighted sound power level of near field determinations  relative to  far field determin
tions are made  for several measurement methodologies, based on the experimental data.
17. KEY «'ORDS (nix to twelve entries; alphabetical order; capitalize only tiic firnl /elisr of the drat key word unless a proper
   name; separated by semicolons)  Air compressors;  error of  sound power  measurement;  noise;
  noise measurement;  sound power  level; standard  test  procedures for sound  power
  measurement.
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