[Code of Federal Regulations]
[Title 14, Volume 1]
[Revised as of January 1, 2003]
From the U.S. Government Printing Office via GPO Access
[CITE: 14CFR36.1583]

[Page 789-849]
 
                     TITLE 14--AERONAUTICS AND SPACE
 
CHAPTER I--FEDERAL AVIATION ADMINISTRATION, DEPARTMENT OF TRANSPORTATION
 
PART 36--NOISE STANDARDS: AIRCRAFT TYPE AND AIRWORTHINESS CERTIFICATION--Table of Contents
 
            Subpart O--Operating Limitations and Information
 
Sec. 36.1583  Noncomplying agricultural and fire fighting airplanes.

    (a) This section applies to propeller-driven, small airplanes that--
    (1) Are designed for ``agricultural aircraft operations'' (as 
defined in Sec. 137.3 of this chapter, effective on January 1, 1966) or 
for dispensing fire fighting materials; and
    (2) Have not been shown to comply with the noise levels prescribed 
under appendix F of this part--
    (i) For which application is made for the original issue of a 
standard airworthiness certificate and that do not have any flight time 
before January 1, 1980; or
    (ii) For which application is made for an acoustical change 
approval, for airplanes which have a standard airworthiness certificate 
after the change in the type design, and that do not have any flight 
time in the changed configuration before January 1, 1980.
    (b) For airplanes covered by this section an operating limitation 
reading as follows must be furnished in the manner prescribed in 
Sec. 36.1581:

    Noise abatement: This airplane has not been shown to comply with the 
noise limits in FAR Part 36 and must be operated in accordance with the 
noise operating limitation prescribed under FAR Sec. 91.815.

[Amdt. 36-11, 45 FR 67066, Oct. 9, 1980. Redesignated by Amdt. 36-14, 53 
FR 3540, Feb. 5, 1988; Amdt. 36-18, 54 FR 34330, Aug. 18, 1989]

 Appendix A to Part 36--Aircraft Noise Measurement and Evaluation Under 
                               Sec. 36.101

Sec.
A36.1  Introduction.
A36.2  Noise Certification Test and Measurement Conditions.
A36.3  Measurement of Airplane Noise Received on the Ground.
A36.4  Calculations of Effective Perceived Noise Level From Measured 
          Data.
A36.5  Reporting of Data to the FAA.
A36.6  Nomenclature: Symbols and Units.
A36.7  Sound Attenuation in Air.
A36.8  [Reserved]
A36.9  Adjustment of Airplane Flight Test Results.

                       Section A36.1  Introduction

    A36.1.1  This appendix prescribes the conditions under which 
airplane noise certification tests must be conducted and states the 
measurement procedures that must be used to measure airplane noise. The 
procedures that must be used to determine the noise evaluation quantity 
designated as effective perceived noise level, EPNL, under Secs. 36.101 
and 36.803 are also stated.
    A36.1.2  The instructions and procedures given are intended to 
ensure uniformity during compliance tests and to permit comparison 
between tests of various types of airplanes conducted in various 
geographical locations.
    A36.1.3  A complete list of symbols and units, the mathematical 
formulation of perceived noisiness, a procedure for determining 
atmospheric attenuation of sound, and detailed procedures for correcting 
noise levels from non-reference to reference conditions are included in 
this appendix.

   Section A36.2  Noise Certification Test and Measurement Conditions

    A36.2.1  General.
    A36.2.1.1  This section prescribes the conditions under which noise 
certification must be conducted and the measurement procedures that must 
be used.

[[Page 790]]

    Note: Many noise certifications involve only minor changes to the 
airplane type design. The resulting changes in noise can often be 
established reliably without resorting to a complete test as outlined in 
this appendix. For this reason, the FAA permits the use of approved 
equivalent procedures. There are also equivalent procedures that may be 
used in full certification tests, in the interest of reducing costs and 
providing reliable results. Guidance material on the use of equivalent 
procedures in the noise certification of subsonic jet and propeller-
driven large airplanes is provided in the current advisory circular for 
this part.
    A36.2.2  Test environment.
    A36.2.2.1  Locations for measuring noise from an airplane in flight 
must be surrounded by relatively flat terrain having no excessive sound 
absorption characteristics such as might be caused by thick, matted, or 
tall grass, shrubs, or wooded areas. No obstructions that significantly 
influence the sound field from the airplane must exist within a conical 
space above the point on the ground vertically below the microphone, the 
cone being defined by an axis normal to the ground and by a half-angle 
80 deg. from this axis.
    Note: Those people carrying out the measurements could themselves 
constitute such obstruction.
    A36.2.2.2  The tests must be carried out under the following 
atmospheric conditions.
    (a) No precipitation;
    (b) Ambient air temperature not above 95  deg.F (35  deg.C) and not 
below 14  deg.F (-10  deg.C), and relative humidity not above 95% and 
not below 20% over the whole noise path between a point 33 ft (10 m) 
above the ground and the airplane;
    Note: Care should be taken to ensure that the noise measuring, 
airplane flight path tracking, and meteorological instrumentation are 
also operated within their specific environmental limitations.
    (c) Relative humidity and ambient temperature over the whole noise 
path between a point 33 ft (10 m) above the ground and the airplane such 
that the sound attenuation in the one-third octave band centered on 8 
kHz will not be more than 12 dB/100 m unless:
    (1) The dew point and dry bulb temperatures are measured with a 
device which is accurate to 0.9  deg.F (0.5 
deg.C) and used to obtain relative humidity; in addition layered 
sections of the atmosphere are used as described in section A36.2.2.3 to 
compute equivalent weighted sound attenuations in each one-third octave 
band; or
    (2) The peak noy values at the time of PNLT, after adjustment to 
reference conditions, occur at frequencies less than or equal to 400 
Hz.;
    (d) If the atmospheric absorption coefficients vary over the PNLTM 
sound propagation path by more than 1.6 dB/1000 ft 
(0.5 dB/100m) in the 3150Hz one-third octave band from the 
value of the absorption coefficient derived from the meteorological 
measurement obtained at 33 ft (10 m) above the surface, ``layered'' 
sections of the atmosphere must be used as described in section 
A36.2.2.3 to compute equivalent weighted sound attenuations in each one-
third octave band; the FAA will determine whether a sufficient number of 
layered sections have been used. For each measurement, where multiple 
layering is not required, equivalent sound attenuations in each one-
third octave band must be determined by averaging the atmospheric 
absorption coefficients for each such band at 33 ft (10 m) above ground 
level, and at the flight level of the airplane at the time of PNLTM, for 
each measurement;
    (e) Average wind velocity 33 ft (10 m) above ground may not exceed 
12 knots and the crosswind velocity for the airplane may not exceed 7 
knots. The average wind velocity must be determined using a 30-second 
averaging period spanning the 10 dB-down time interval. Maximum wind 
velocity 33 ft (10 m) above ground is not to exceed 15 knots and the 
crosswind velocity is not to exceed 10 knots during the 10 dB-down time 
interval;
    (f) No anomalous meteorological or wind conditions that would 
significantly affect the measured noise levels when the noise is 
recorded at the measuring points specified by the FAA; and
    (g) Meteorological measurements must be obtained within 30 minutes 
of each noise test measurement; meteorological data must be interpolated 
to actual times of each noise measurement.
    A36.2.2.3  When a multiple layering calculation is required by 
section A36.2.2.2(c) or A36.2.2.2(d) the atmosphere between the airplane 
and 33 ft (10 m) above the ground must be divided into layers of equal 
depth. The depth of the layers must be set to not more than the depth of 
the narrowest layer across which the variation in the atmospheric 
absorption coefficient of the 3150 Hz one-third octave band is not 
greater than 1.6 dB/1000 ft (0.5 dB/100m), with 
a minimum layer depth of 100 ft (30 m). This requirement must be met for 
the propagation path at PNLTM. The mean of the values of the atmospheric 
absorption coefficients at the top and bottom of each layer may be used 
to characterize the absorption properties of each layer.
    A36.2.2.4  The airport control tower or another facility must be 
aproved by the FAA for use as the central location at which measurements 
of atmospheric parameters are representative of those conditions 
existing over the geographical area in which noise measurements are 
made.
    A36.2.3  Flight path measurement.
    A36.2.3.1  The airplane height and lateral position relative to the 
flight track must be determined by a method independent of normal flight 
instrumentation such as radar

[[Page 791]]

tracking, theodolite triangulation, or photographic scaling techniques, 
to be approved by the FAA.
    A36.2.3.2  The airplane position along the flight path must be 
related to the noise recorded at the noise measurement locations by 
means of synchronizing signals over a distance sufficient to assure 
adequate data during the period that the noise is within 10 dB of the 
maximum value of PNLT.
    A36.2.3.3  Position and performance data required to make the 
adjustments referred to in section A36.9 of this appendix must be 
automatically recorded at an approved sampling rate. Measuring equipment 
must be approved by the FAA.

   Section A36.3  Measurement of Airplane Noise Received on the Ground

    A36.3.1  Definitions.
    For the purposes of section A36.3 the following definitions apply:
    A36.3.1.1  Measurement system means the combination of instruments 
used for the measurement of sound pressure levels, including a sound 
calibrator, windscreen, microphone system, signal recording and 
conditioning devices, and one-third octave band analysis system.
    Note: Practical installations may include a number of microphone 
systems, the outputs from which are recorded simultaneously by a multi-
channel recording/analysis device via signal conditioners, as 
appropriate. For the purpose of this section, each complete measurement 
channel is considered to be a measurement system to which the 
requirements apply accordingly.
    A36.3.1.2  Microphone system means the components of the measurement 
system which produce an electrical output signal in response to a sound 
pressure input signal, and which generally include a microphone, a 
preamplifier, extension cables, and other devices as necessary.
    A36.3.1.3  Sound incidence angle means in degrees, an angle between 
the principal axis of the microphone, as defined in IEC 61094-3 and IEC 
61094-4, as amended and a line from the sound source to the center of 
the diaphragm of the microphone.
    Note: When the sound incidence angle is 0 deg., the sound is said to 
be received at the microphone at ``normal (perpendicular) incidence;'' 
when the sound incidence angle is 90 deg., the sound is said to be 
received at ``grazing incidence.''
    A36.3.1.4  Reference direction means, in degrees, the direction of 
sound incidence specified by the manufacturer of the microphone, 
relative to a sound incidence angle of 0 deg., for which the free-field 
sensitivity level of the microphone system is within specified tolerance 
limits.
    A36.3.1.5  Free-field sensitivity of a microphone system means, in 
volts per Pascal, for a sinusoidal plane progressive sound wave of 
specified frequency, at a specified sound incidence angle, the quotient 
of the root mean square voltage at the output of a microphone system and 
the root mean square sound pressure that would exist at the position of 
the microphone in its absence.
    A36.3.1.6  Free-field sensitivity level of a microphone system 
means, in decibels, twenty times the logarithm to the base ten of the 
ratio of the free-field sensitivity of a microphone system and the 
reference sensitivity of one volt per Pascal.
    Note: The free-field sensitivity level of a microphone system may be 
determined by subtracting the sound pressure level (in decibels re 20 
[mu]Pa) of the sound incident on the microphone from the voltage level 
(in decibels re 1 V) at the output of the microphone system, and adding 
93.98 dB to the result.
    A36.3.1.7  Time-average band sound pressure level means in decibels, 
ten times the logarithm to the base ten, of the ratio of the time mean 
square of the instantaneous sound pressure during a stated time interval 
and in a specified one-third octave band, to the square of the reference 
sound pressure of 20 [mu]Pa.
    A36.3.1.8  Level range means, in decibels, an operating range 
determined by the setting of the controls that are provided in a 
measurement system for the recording and one-third octave band analysis 
of a sound pressure signal. The upper boundary associated with any 
particular level range must be rounded to the nearest decibel.
    A36.3.1.9  Calibration sound pressure level means, in decibels, the 
sound pressure level produced, under reference environmental conditions, 
in the cavity of the coupler of the sound calibrator that is used to 
determine the overall acoustical sensitivity of a measurement system.
    A36.3.1.10  Reference level range means, in decibels, the level 
range for determining the acoustical sensitivity of the measurement 
system and containing the calibration sound pressure level.
    A36.3.1.11  Calibration check frequency means, in hertz, the nominal 
frequency of the sinusoidal sound pressure signal produced by the sound 
calibrator.
    A36.3.1.12  Level difference means, in decibels, for any nominal 
one-third octave midband frequency, the output signal level measured on 
any level range minus the level of the corresponding electrical input 
signal.
    A36.3.1.13  Reference level difference means, in decibels, for a 
stated frequency, the level difference measured on a level range for an 
electrical input signal corresponding to the calibration sound pressure 
level, adjusted as appropriate, for the level range.
    A36.3.1.14  Level non-linearity means, in decibels, the level 
difference measured on any level range, at a stated one-third octave 
nominal midband frequency, minus the corresponding reference level 
difference, all

[[Page 792]]

input and output signals being relative to the same reference quantity.
    A36.3.1.15  Linear operating range means, in decibels, for a stated 
level range and frequency, the range of levels of steady sinusoidal 
electrical signals applied to the input of the entire measurement 
system, exclusive of the microphone but including the microphone 
preamplifier and any other signal-conditioning elements that are 
considered to be part of the microphone system, extending from a lower 
to an upper boundary, over which the level non-linearity is within 
specified tolerance limits.
    Note: Microphone extension cables as configured in the field need 
not be included for the linear operating range determination.
    A36.3.1.16  Windscreen insertion loss means, in decibels, at a 
stated nominal one-third octave midband frequency, and for a stated 
sound incidence angle on the inserted microphone, the indicated sound 
pressure level without the windscreen installed around the microphone 
minus the sound pressure level with the windscreen installed.
    A36.3.2  Reference environmental conditions.
    A36.3.2.1  The reference environmental conditions for specifying the 
performance of a measurement system are:
    (a) Air temperature 73.4  deg.F (23  deg.C);
    (b) Static air pressure 101.325 kPa; and
    (c) Relative humidity 50%.
    A36.3.3.  General.
    Note: Measurements of aircraft noise that are made using instruments 
that conform to the specifications of this section will yield one-third 
octave band sound pressure levels as a function of time. These one-third 
octave band levels are to be used for the calculation of effective 
perceived noise level as described in section A36.4.
    A36.3.3.1  The measurement system must consist of equipment approved 
by the FAA and equivalent to the following:
    (a) A windscreen (See A36.3.4.);
    (b) A microphone system (See A36.3.5):
    (c) A recording and reproducing system to store the measured 
aircraft noise signals for subsequent analysis (see A36.3.6);
    (d) A one-third octave band analysis system (see A36.3.7); and
    (e) Calibration systems to maintain the acoustical sensitivity of 
the above systems within specified tolerance limits (see A36.3.8).
    A36.3.3.2.  For any component of the measurement system that 
converts an analog signal to digital form, such conversion must be 
performed so that the levels of any possible aliases or artifacts of the 
digitization process will be less than the upper boundary of the linear 
operating range by at least 50 dB at any frequency less than 12.5 kHz. 
The sampling rate must be at least 28 kHz. An anti-aliasing filter must 
be included before the digitization process.
    A36.3.4  Windscreen.
    A36.3.4.1  In the absence of wind and for sinusoidal sounds at 
grazing incidence, the insertion loss caused by the windscreen of a 
stated type installed around the microphone must not exceed 
1.5 dB at nominal one-third octave midband frequencies from 
50 Hz to 10 kHz inclusive.
    A36.3.5  Microphone system.
    A36.3.5.1  The microphone system must meet the specifications in 
sections A36.3.5.2 to A36.3.5.4. Various microphone systems may be 
approved by the FAA on the basis of demonstrated equivalent overall 
electroacoustical performance. Where two or more microphone systems of 
the same type are used, demonstration that at least one system conforms 
to the specifications in full is sufficient to demonstrate conformance.
    Note: An applicant must still calibrate and check each system as 
required in section A36.3.9.
    A36.3.5.2  The microphone must be mounted with the sensing element 4 
ft (1.2 m) above the local ground surface and must be oriented for 
grazing incidence, i.e., with the sensing element substantially in the 
plane defined by the predicted reference flight path of the aircraft and 
the measuring station. The microphone mounting arrangement must minimize 
the interference of the supports with the sound to be measured. Figure 
A36-1 illustrates sound incidence angles on a microphone.
    A36.3.5.3  The free-field sensitivity level of the microphone and 
preamplifier in the reference direction, at frequencies over at least 
the range of one-third-octave nominal midband frequencies from 50 Hz to 
5 kHz inclusive, must be within 1.0 dB of that at the 
calibration check frequency, and within 2.0 dB for nominal 
midband frequencies of 6.3 kHz, 8 kHz and 10 kHz.
    A36.3.5.4  For sinusoidal sound waves at each one-third octave 
nominal midband frequency over the range from 50 Hz to 10 kHz inclusive, 
the free-field sensitivity levels of the microphone system at sound 
incidence angles of 30 deg., 60 deg., 90 deg., 120 deg. and 150 deg., 
must not differ from the free-field sensitivity level at a sound 
incidence angle of 0 deg. (``normal incidence'') by more than the values 
shown in Table A36-1. The free-field sensitivity level differences at 
sound incidence angles between any two adjacent sound incidence angles 
in Table A36-1 must not exceed the tolerance limit for the greater 
angle.

[[Page 793]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.000

    A36.3.6  Recording and reproducing systems.
    A36.3.6.1  A recording and reproducing system, such as a digital or 
analog magnetic tape recorder, a computer-based system or other 
permanent data storage device, must be used to store sound pressure 
signals for subsequent analysis. The sound produced by the aircraft must 
be recorded in such a way that a record of the complete acoustical 
signal is retained. The recording and reproducing systems must meet the 
specifications in sections A36.3.6.2 to A36.3.6.9 at the recording 
speeds and/or data sampling rates used for the noise certification 
tests. Conformance must be demonstrated for the frequency bandwidths and 
recording channels selected for the tests.
    A36.3.6.2  The recording and reproducing systems must be calibrated 
as described in section A36.3.9.
    (a) For aircraft noise signals for which the high frequency spectral 
levels decrease rapidly with increasing frequency, appropriate pre-
emphasis and complementary de-emphasis networks may be included in the 
measurement system. If pre-emphasis is included, over the range of 
nominal one-third octave midband frequencies from 800 Hz to 10 kHz 
inclusive, the electrical gain provided by the pre-emphasis network must 
not exceed 20 dB relative to the gain at 800 Hz.
    A36.3.6.3  For steady sinusoidal electrical signals applied to the 
input of the entire measurement system including all parts of the 
microphone system except the microphone at a selected signal level 
within 5 dB of that corresponding to the calibration sound pressure 
level on the reference level range, the time-average signal level 
indicated by the readout device at any one-third octave nominal midband 
frequency from 50 Hz to 10 kHz inclusive must be within 1.5 
dB of that at the calibration check frequency. The frequency response of 
a measurement system, which includes components that convert analog 
signals to digital form, must be within 0.3 dB of the 
response at 10 kHz over the frequency range from 10 kHz to 11.2 kHz.
    Note: Microphone extension cables as configured in the field need 
not be included for the frequency response determination. This

[[Page 794]]

allowance does not eliminate the requirement of including microphone 
extension cables when performing the pink noise recording in section 
A36.3.9.5.
    A36.3.6.4  For analog tape recordings, the amplitude fluctuations of 
a 1 kHz sinusoidal signal recorded within 5 dB of the level 
corresponding to the calibration sound pressure level must not vary by 
more than 0.5 dB throughout any reel of the type of magnetic 
tape used. Conformance to this requirement must be demonstrated using a 
device that has time-averaging properties equivalent to those of the 
spectrum analyzer.
    A36.3.6.5  For all appropriate level ranges and for steady 
sinusoidal electrical signals applied to the input of the measurement 
system, including all parts of the microphone system except the 
microphone, at one-third-octave nominal midband frequencies of 50 Hz, 1 
kHz and 10 kHz, and the calibration check frequency, if it is not one of 
these frequencies, the level non-linearity must not exceed 
0.5 dB for a linear operating range of at least 50 dB below 
the upper boundary of the level range.
    Note 1: Level linearity of measurement system components may be 
tested according to the methods described in IEC 61265 as amended.
    Note 2: Microphone extension cables configured in the field need not 
be included for the level linearity determination.
    A36.3.6.6  On the reference level range, the level corresonding to 
the calibration sound pressure level must be at least 5 dB, but no more 
than 30 dB less than the upper boundary of the level range.
    A36.3.6.7  The linear operating ranges on adjacent level ranges must 
overlap by at least 50 dB minus the change in attenuation introduced by 
a change in the level range controls.
    Note: It is possible for a measurement system to have level range 
controls that permit attenuation changes of either 10 dB or 1 dB, for 
example. With 10 dB steps, the minimum overlap required would be 40 dB, 
and with 1 dB steps the minimum overlap would be 49 dB.
    A36.3.6.8  An overload indicator must be included in the recording 
and reproducing systems so that an overload indication will occur during 
an overload condition on any relevant level range.
    A36.3.6.9  Attenuators included in the measurement system to permit 
range changes must operate in known intervals of decibel steps.
    A36.3.7  Analysis systems.
    A36.3.7.1  The analysis system must conform to the specifications in 
sections A36.3.7.2 to A36.3.7.7 for the frequency bandwidths, channel 
configurations and gain settings used for analysis.
    A36.3.7.2 The output of the analysis system must consist of one-
third octave band sound pressure levels as a function of time, obtained 
by processing the noise signals (preferably recorded) through an 
analysis system with the following characteristics:
    (a) A set of 24 one-third octave band filters, or their equivalent, 
having nominal midband frequencies from 50 Hz to 10 kHz inclusive;
    (b) Response and averaging properties in which, in principle, the 
output from any one-third octave filter band is squared, averaged and 
displayed or stored as time-averaged sound pressure levels;
    (c) The interval between successive sound pressure level samples 
must be 500 ms 5 milliseconds(ms) for spectral analysis with 
or without slow time-weighting, as defined in section A36.3.7.4;
    (d) For those analysis systems that do not process the sound 
pressure signals during the period of time required for readout and/or 
resetting of the analyzer, the loss of data must not exceed a duration 
of 5 ms; and
    (e) The analysis system must operate in real time from 50 Hz through 
at least 12 kHz inclusive. This requirement applies to all operating 
channels of a multi-channel spectral analysis system.
    A36.3.7.3  The minimum standard for the one-third octave band 
analysis system is the class 2 electrical performance requirements of 
IEC 61260 as amended, over the range of one-third octave nominal midband 
frequencies from 50 Hz through 10 kHz inclusive.
    Note: IEC 61260 specifies procedures for testing of one-third octave 
band analysis systems for relative attenuation, anti-aliasing filters, 
real time operation, level linearity, and filter integrated response 
(effective bandwidth).
    A36.3.7.4  When slow time averaging is performed in the analyzer, 
the response of the one-third octave band analysis system to a sudden 
onset or interruption of a constant sinusoidal signal at the respective 
one-third octave nominal midband frequency, must be measured at sampling 
instants 0.5, 1, 1.5 and 2 seconds(s) after the onset and 0.5 and 1s 
after interruption. The rising response must be -4 1 dB at 
0.5s, -1.75 0.75 dB at 1s, -1 0.5 dB at 1.5s and 
-0.5 0.5 dB at 2s relative to the steady-state level. The 
falling response must be such that the sum of the output signal levels, 
relative to the initial steady-state level, and the corresponding rising 
response reading is -6.5 1 dB, at both 0.5 and 1s. At 
subsequent times the sum of the rising and falling responses must be -
7.5 dB or less. This equates to an exponential averaging process (slow 
time-weighting) with a nominal 1s time constant (i.e., 2s averaging 
time).
    A36.3.7.5  When the one-third octave band sound pressure levels are 
determined from the output of the analyzer without slow time-weighting, 
slow time-weighting must be simulated in the subsequent processing.

[[Page 795]]

Simulated slow time-weighted sound pressure levels can be obtained using 
a continuous exponential averaging process by the following equation:

Ls (i,k)=10 log [(0.60653) 100.1 Ls[i, (k-1)] + 
(0.39347) 100.1 L (i, k)]

where Ls(i,k) is the simulated slow time-weighted sound 
pressure level and L(i,k) is the as-measured 0.5s time average sound 
pressure level determined from the output of the analyzer for the k-th 
instant of time and i-th one-third octave band. For k=1, the slow time-
weighted sound pressure Ls[i, (k-1=0)] on the right hand side 
should be set to 0 dB. An approximation of the continuous exponential 
averaging is represented by the following equation for a four sample 
averaging process for k [ge] 4:

Ls (i,k)=10 log [(0.13) 100.1 L[i,(k-3)] + (0.21) 
100.1 L[i, (k-2)] + (0.27) 100.1 L[i, (k-1)] + 
(0.39) 100.1 L[i, k]]

where Ls (i, k) is the simulated slow time-weighted sound 
pressure level and L (i, k) is the as measured 0.5s time average sound 
pressure level determined from the output of the analyzer for the k-th 
instant of time and the i-th one-third octave band.
    The sum of the weighting factors is 1.0 in the two equations. Sound 
pressure levels calculated by means of either equation are valid for the 
sixth and subsequent 0.5s data samples, or for times greater than 2.5s 
after initiation of data analysis.
    Note: The coefficients in the two equations were calculated for use 
in determining equivalent slow time-weighted sound pressure levels from 
samples of 0.5s time average sound pressure levels. The equations do not 
work with data samples where the averaging time differs from 0.5s.
    A36.3.7.6  The instant in time by which a slow time-weighted sound 
pressure level is characterized must be 0.75s earlier than the actual 
readout time.
    Note: The definition of this instant in time is needed to correlate 
the recorded noise with the aircraft position when the noise was emitted 
and takes into account the averaging period of the slow time-weighting. 
For each 0.5 second data record this instant in time may also be 
identified as 1.25 seconds after the start of the associated 2 second 
averaging period.
    A36.3.7.7  The resolution of the sound pressure levels, both 
displayed and stored, must be 0.1 dB or finer.
    A36.3.8  Calibration systems.
    A36.3.8.1  The acoustical sensitivity of the measurement system must 
be determined using a sound calibrator generating a known sound pressure 
level at a known frequency. The minimum standard for the sound 
calibrator is the class 1L requirements of IEC 60942 as amended.
    A36.3.9  Calibration and checking of system.
    A36.3.9.1  Calibration and checking of the measurement system and 
its constituent components must be carried out to the satisfaction of 
the FAA by the methods specified in sections A36.3.9.2 through 
A36.3.9.10. The calibration adjustments, including those for 
environmental effects on sound calibrator output level, must be reported 
to the FAA and applied to the measured one-third-octave sound pressure 
levels determined from the output of the analyzer. Data collected during 
an overload indication are invalid and may not be used. If the overload 
condition occurred during recording, the associated test data are 
invalid, whereas if the overload occurred during analysis, the analysis 
must be repeated with reduced sensitivity to eliminate the overload.
    A36.3.9.2  The free-field frequency response of the microphone 
system may be determined by use of an electrostatic actuator in 
combination with manufacturer's data or by tests in an anechoic free-
field facility. The correction for frequency response must be determined 
within 90 days of each test series. The correction for non-uniform 
frequency response of the microphone system must be reported to the FAA 
and applied to the measured one-third octave band sound pressure levels 
determined from the output of the analyzer.
    A36.3.9.3  When the angles of incidence of sound emitted from the 
aircraft are within 30 deg. of grazing incidence at the 
microphone (see Figure A36-1), a single set of free-field corrections 
based on grazing incidence is considered sufficient for correction of 
directional response effects. For other cases, the angle of incidence 
for each 0.5 second sample must be determined and applied for the 
correction of incidence effects.
    A36.3.9.4  For analog magnetic tape recorders, each reel of magnetic 
tape must carry at least 30 seconds of pink random or pseudo-random 
noise at its beginning and end. Data obtained from analog tape-recorded 
signals will be accepted as reliable only if level differences in the 10 
kHz one-third-octave-band are not more than 0.75 dB for the signals 
recorded at the beginning and end.
    A36.3.9.5  The frequency response of the entire measurement system 
while deployed in the field during the test series, exclusive of the 
microphone, must be determined at a level within 5 dB of the level 
corresponding to the calibration sound pressure level on the level range 
used during the tests for each one-third octave nominal midband 
frequency from 50 Hz to 10 kHz inclusive, utilizing pink random or 
pseudo-random noise. Within six months of each test series the output of 
the noise generator must be determined by a method traceable to the U.S. 
National Institute of Standards and Technology or to an equivalent 
national standards laboratory as

[[Page 796]]

determined by the FAA. Changes in the relative output from the previous 
calibration at each one-third octave band may not exceed 0.2 dB. The 
correction for frequency response must be reported to the FAA and 
applied to the measured one-third octave sound pressure levels 
determined from the output of the analyzer.
    A36.3.9.6  The performance of switched attenuators in the equipment 
used during noise certification measurements and calibration must be 
checked within six months of each test series to ensure that the maximum 
error does not exceed 0.1 dB.
    A36.3.9.7  The sound pressure level produced in the cavity of the 
coupler of the sound calibrator must be calculated for the test 
environmental conditions using the manufacturer's supplied information 
on the influence of atmospheric air pressure and temperature. This sound 
pressure level is used to establish the acoustical sensitivity of the 
measurement system. Within six months of each test series the output of 
the sound calibrator must be determined by a method traceable to the 
U.S. National Institute of Standards and Technology or to an equivalent 
national standards laboratory as determined by the FAA. Changes in 
output from the previous calibration must not exceed 0.2 dB.
    A36.3.9.8  Sufficient sound pressure level calibrations must be made 
during each test day to ensure that the acoustical sensitivity of the 
measurement system is known at the prevailing environmental conditions 
corresponding with each test series. The difference between the 
acoustical sensitivity levels recorded immediately before and 
immediately after each test series on each day may not exceed 0.5 dB. 
The 0.5 dB limit applies after any atmospheric pressure corrections have 
been determined for the calibrator output level. The arithmetic mean of 
the before and after measurements must be used to represent the 
acoustical sensitivity level of the measurement system for that test 
series. The calibration corrections must be reported to the FAA and 
applied to the measured one-third octave band sound pressure levels 
determined from the output of the analyzer.
    A36.3.9.9  Each recording medium, such as a reel, cartridge, 
cassette, or diskette, must carry a sound pressure level calibration of 
at least 10 seconds duration at its beginning and end.
    A36.3.9.10  The free-field insertion loss of the windscreen for each 
one-third octave nominal midband frequency from 50 Hz to 10 kHz 
inclusive must be determined with sinusoidal sound signals at the 
incidence angles determined to be applicable for correction of 
directional response effects per section A36.3.9.3. The interval between 
angles tested must not exceed 30 degrees. For a windscreen that is 
undamaged and uncontaminated, the insertion loss may be taken from 
manufacturer's data. Alternatively, within six months of each test 
series the insertion loss of the windscreen may be determined by a 
method traceable to the U.S. National Institute of Standards and 
Technology or an equivalent national standards laboratory as determined 
by the FAA. Changes in the insertion loss from the previous calibration 
at each one-third-octave frequency band must not exceed 0.4 dB. The 
correction for the free-field insertion loss of the windscreen must be 
reported to the FAA and applied to the measured one-third octave sound 
pressure levels determined from the output of the analyzer.
    A36.3.10  Adjustments for ambient noise.
    A36.3.10.1  Ambient noise, including both a acoustical background 
and electrical noise of the measurement system, must be recorded for at 
least 10 seconds at the measurement points with the system gain set at 
the levels used for the aircraft noise measurements. Ambient noise must 
be representative of the acoustical background that exists during the 
flyover test run. The recorded aircraft noise data is acceptable only if 
the ambient noise levels, when analyzed in the same way, and quoted in 
PNL (see A36.4.1.3 (a)), are at least 20 dB below the maximum PNL of the 
aircraft.
    A36.3.10.2  Aircraft sound pressure levels within the 10 dB-down 
points (see A36.4.5.1) must exceed the mean ambient noise levels 
determined in section A36.3.10.1 by at least 3 dB in each one-third 
octave band, or must be adjusted using a method approved by the FAA; one 
method is described in the current advisory circular for this part.

   Section A36.4  Calculation of Effective Perceived Noise Level From 
                              Measured Data

    A36.4.1  General.
    A36.4.1.1  The basic element for noise certification criteria is the 
noise evaluation measure known as effective perceived noise level, EPNL, 
in units of EPNdB, which is a single number evaluator of the subjective 
effects of airplane noise on human beings. EPNL consists of 
instantaneous perceived noise level, PNL, corrected for spectral 
irregularities, and for duration. The spectral irregularity correction, 
called ``tone correction factor'', is made at each time increment for 
only the maximum tone.
    A36.4.1.2  Three basic physical properties of sound pressure must be 
measured: level, frequency distribution, and time variation. To 
determine EPNL, the instantaneous sound pressure level in each of the 24 
one-third octave bands is required for each 0.5 second increment of time 
during the airplane noise measurement.

[[Page 797]]

    A36.4.1.3  The calculation procedure that uses physical measurements 
of noise to derive the EPNL evaluation measure of subjective response 
consists of the following five steps:
    (a) The 24 one-third octave bands of sound pressure level are 
converted to perceived noisiness (noy) using the method described in 
section A36.4.2.1 (a). The noy values are combined and then converted to 
instantaneous perceived noise levels, PNL(k).
    (b) A tone correction factor C(k) is calculated for each spectrum to 
account for the subjective response to the presence of spectral 
irregularities.
    (c) The tone correction factor is added to the perceived noise level 
to obtain tone-corrected perceived noise levels PNLT(k), at each one-
half second increment:

PNLT(k)=PNL(k) + C(k)

The instantaneous values of tone-corrected perceived noise level are 
derived and the maximum value, PNLTM, is determined.
    (d) A duration correction factor, D, is computed by integration 
under the curve of tone-corrected perceived noise level versus time.
    (e) Effective perceived noise level, EPNL, is determined by the 
algebraic sum of the maximum tone-corrected perceived noise level and 
the duration correction factor:

EPNL=PNLTM + D

    A36.4.2  Perceived noise level.
    A36.4.2.1  Instantaneous perceived noise levels, PNL(k), must be 
calculated from instantaneous one-third octave band sound pressure 
levels, SPL(i, k) as follows:
    (a) Step 1: For each one-third octave band from 50 through 10,000 
Hz, convert SPL(i, k) to perceived noisiness n(i, k), by using the 
mathematical formulation of the noy table given in section A36.4.7.
    (b) Step 2: Combine the perceived noisiness values, n(i, k), 
determined in step 1 by using the following formula:
[GRAPHIC] [TIFF OMITTED] TR08JY02.001

where n(k) is the largest of the 24 values of n(i, k) and N(k) is the 
total perceived noisiness.
    (c) Step 3: Convert the total perceived noisiness, N(k), determined 
in Step 2 into perceived noise level, PNL(k), using the following 
formula:
[GRAPHIC] [TIFF OMITTED] TR08JY02.002

    Note: PNL(k) is plotted in the current advisory circular for this 
part.
    A36.4.3  Correction for spectral irregularities.
    A36.4.3.1  Noise having pronounced spectral irregularities (for 
example, the maximum discrete frequency components or tones) must be 
adjusted by the correction factor C(k) calculated as follows:
    (a) Step 1: After applying the corrections specified under section 
A36.3.9, start with the sound pressure level in the 80 Hz one-third 
octave band (band number 3), calculate the changes in sound pressure 
level (or ``slopes'') in the remainder of the one-third octave bands as 
follows:

s(3,k)=no value
s(4,k)=SPL(4,k)-SPL(3,k)


s(i,k)=SPL(i,k)-SPL(i-1,k)


s(24,k)=SPL(24,k)-SPL(23,k)

    (b) Step 2: Encircle the value of the slope, s(i, k), where the 
absolute value of the change in slope is greater than five; that is 
where:

[bond][Delta]s(i,k)[bond]=[bond]s(i,k)-s(i-1,k)[bond]5

    (c) Step 3:
    (1) If the encircled value of the slope s(i, k) is positive and 
algebraically greater than the slope s(i-1, k) encircle SPL(i, k).
    (2) If the encircled value of the slope s(i, k) is zero or negative 
and the slope s(i-1, k) is positive, encircle SPL(i-1, k).
    (3) For all other cases, no sound pressure level value is to be 
encircled.
    (d) Step 4: Compute new adjusted sound pressure levels SPL'(i, k) as 
follows:
    (1) For non-encircled sound pressure levels, set the new sound 
pressure levels equal to the original sound pressure levels, SPL'(i, 
k)=SPL(i, k).
    (2) For encircled sound pressure levels in bands 1 through 23 
inclusive, set the new sound pressure level equal to the arithmetic 
average of the preceding and following sound pressure levels as shown 
below:

SPL'(i,k)=\1/2\[SPL(i-1,k)+SPL(i+1,k)]

    (3) If the sound pressure level in the highest frequency band (i=24) 
is encircled, set the new sound pressure level in that band equal to:

SPL'(24,k)=SPL(23,k)+s(23,k)

    (e) Step 5: Recompute new slope s'(i, k), including one for an 
imaginary 25th band, as follows:

s'(3,k)=s'(4,k)
s'(4,k)=SPL'(4,k)-SPL'(3,k)


s'(i,k)=SPL'(i,k)-SPL'(i-1,k)


s'(24,k)=SPL'(24,k)-SPL'(23,k)

[[Page 798]]

s'(25,k)=s'(24,k)

    (f) Step 6: For i, from 3 through 23, compute the arithmetic average 
of the three adjacent slopes as follows:

s(i,k)=\1/3\[s'(i,k)+s'(i+1,k)+s'(i+2,k)]

    (g) Step 7: Compute final one-third octave-band sound pressure 
levels, SPL' (i,k), by beginning with band number 3 and proceeding to 
band number 24 as follows:

    SPL'(3,k)=SPL(3,k)
    SPL'(4,k)=SPL'(3,k)+s(3,k)
    
    
    SPL'(i,k)=SPL'(i-1,k)+s(i-1,k)
    
    
    SPL'(24,k)=SPL'(23,k)+s(23,k)

    (h) Setp 8: Calculate the differences, F (i,k), between the original 
sound pressure level and the final background sound pressure level as 
follows:
F(i,k)=SPL(i,k)-SPL'(i,k)

and note only values equal to or greater than 1.5.
    (i) Step 9: For each of the relevant one-third octave bands (3 
through 24), determine tone correction factors from the sound pressure 
level differences F (i, k) and Table A36-2.

[[Page 799]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.003

    (j) Step 10: Designate the largest of the tone correction factors, 
determined in Step 9, as C(k). (An example of the tone correction 
procedure is given in the current advisory circular for this part). 
Tone-corrected perceived noise levels PNLT(k) must be determined by 
adding the C(k) values to corresponding PNL(k) values, that is:

PNLT(k)=PNL(k)+C(k)

For any i-th one-third octave band, at any k-th increment of time, for 
which the tone correction factor is suspected to result from something 
other than (or in addition to) an actual tone (or any spectral 
irregularity other than airplane noise), an additional analysis may be 
made using a filter with a bandwidth narrower than one-third of an 
octave. If the narrow band analysis corroborates these suspicions, then 
a revised value for the background sound pressure level

[[Page 800]]

SPL'(i,k), may be determined from the narrow band analysis and used to 
compute a revised tone correction factor for that particular one-third 
octave band. Other methods of rejecting spurious tone corrections may be 
approved.
    A36.4.3.2  The tone correction procedure will underestimate EPNL if 
an important tone is of a frequency such that it is recorded in two 
adjacent one-third octave bands. An applicant must demonstrate that 
either:
    (a) No important tones are recorded in two adjacent one-third octave 
bands; or
    (b) That if an important tone has occurred, the tone correction has 
been adjusted to the value it would have had if the tone had been 
recorded fully in a single one-third octave band.
    A36.4.4  Maximum tone-corrected perceived noise level
    A36.4.4.1  The maximum tone-corrected perceived noise level, PNLTM, 
must be the maximum calculated value of the tone-corrected perceived 
noise level PNLT(k). It must be calculated using the procedure of 
section A36.4.3. To obtain a satisfactory noise time history, 
measurements must be made at 0.5 second time intervals.
    Note 1: Figure A36-2 is an example of a flyover noise time history 
where the maximum value is clearly indicated.
    Note 2: In the absence of a tone correction factor, PNLTM would 
equal PNLM.
[GRAPHIC] [TIFF OMITTED] TR08JY02.004

    A36.4.4.2  After the value of PNLTM is obtained, the frequency band 
for the largest tone correction factor is identified for the two 
preceding and two succeeding 500 ms data samples. This is performed in 
order to identity the possibility of tone suppression at PNLTM by one-
third octave band sharing of that tone. If the value of the tone 
correction factor C(k) for PNLTM is less than the average value of C(k) 
for the five consecutive time intervals, the average value of C(k) must 
be used to compute a new value for PNLTM.
    A36.4.5  Duration correction.
    A36.4.5.1  The duration correction factor D determined by the 
integration technique is defined by the expression:

[[Page 801]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.005

where T is a normalizing time constant, PNLTM is the maximum value of 
PNLT, t(1) is the first point of time after which PNLT becomes greater 
than PNLTM-10, and t(2) is the point of time after which PNLT remains 
constantly less than PNLTM-10.
    A36.4.5.2  Since PNLT is calculated from measured values of sound 
pressure level (SPL), there is no obvious equation for PNLT as a 
function of time. Consequently, the equation is to be rewritten with a 
summation sign instead of an integral sign as follows:
[GRAPHIC] [TIFF OMITTED] TR08JY02.006

where [Delta]t is the length of the equal increments of time for which 
PNLT(k) is calculated and d is the time interval to the nearest 0.5s 
during which PNLT(k) remains greater or equal to PNLTM-10.
    A36.4.5.3  To obtain a satisfactory history of the perceived noise 
level use one of the following:
    (a) Half-Second time intervals for [Delta]t; or
    (b) A shorter time interval with approved limits and constants.
    A36.4.5.4  The following values for T and [Delta]t must be used in 
calculating D in the equation given in section A36.4.5.2:

T=10 s, and
[Delta]t=0.5s (or the approved sampling time interval).

Using these values, the equation for D becomes:
[GRAPHIC] [TIFF OMITTED] TR08JY02.007

where d is the duration time defined by the points corresponding to the 
values PNLTM-10.
    A36.4.5.5  If in using the procedures given in section A36.4.5.2, 
the limits of PNLTM-10 fall between the calculated PNLT(k) values (the 
usual case), the PNLT(k) values defining the limits of the duration 
interval must be chosen from the PNLT(k) values closest to PNLTM-10. For 
those cases with more than one peak value of PNLT(k), the applicable 
limits must be chosen to yield the largest possible value for the 
duration time.
    A36.4.6  Effective perceived noise level.
    The total subjective effect of an airplane noise event, designated 
effective perceived noise level, EPNL, is equal to the algebraic sum of 
the maximum value of the tone-corrected perceived noise level, PNLTM, 
and the duration correction D. That is:

EPNL=PNLTM+D

where PNLTM and D are calculated using the procedures given in sections 
A36.4.2, A36.4.3, A36.4.4. and A36.4.5.
    A36.4.7  Mathematical formulation of noy tables.
    A36.4.7.1  The relationship between sound pressure level (SPL) and 
the logarithm of perceived noisiness is illustrated in Figure A36-3 and 
Table A36-3.
    A36.4.7.2  The bases of the mathematical formulation are:
    (a) The slopes (M(b), M(c), M(d) and M(e)) of the straight lines;
    (b) The intercepts (SPL(b) and SPL(c)) of the lines on the SPL axis; 
and
    (c) The coordinates of the discontinuities, SPL(a) and log n(a); 
SPL(d) and log n=-1.0; and SPL(e) and log n=log (0.3).
    A36.4.7.3  Calculate noy values using the following equations:
    (a)

SPL [ge] SPL (a)
n=antilog {(c)[SPL-SPL(c)]{time} 


[[Page 802]]


    (b)

SPL(b) [le] SPL < SPL(a)
n=antilog {M(b)[SPL-SPL(b)]{time} 

    (c)

SPL(e) [le] SPL < SPL(b)
n=0.3 antilog {M(e)[SPL-SPL(e)]{time} 

    (d)

SPL(d) [le] SPL < SPL(e)
n=0.1 antilog {M(d)[SPL-SPL(d)]{time} 

    A36.4.7.4  Table A36-3 lists the values of the constants necessary 
to calculate perceived noisiness as a function of sound pressure level.
[GRAPHIC] [TIFF OMITTED] TR08JY02.008


[[Page 803]]


[GRAPHIC] [TIFF OMITTED] TR08JY02.009

               Section A36.5  Reporting of Data to the FAA

    A36.5.1  General.
    A36.5.1.1  Data representing physical measurements and data used to 
make corrections to physical measurements must be recorded in an 
approved permanent form and appended to the record.
    A36.5.1.2  All corrections must be reported to and approved by the 
FAA, including corrections to measurements for equipment response 
deviations.
    A36.5.1.3  Applicants may be required to submit estimates of the 
individual errors inherent in each of the operations employed in 
obtaining the final data.
    A36.5.2  Data reporting.
    An applicant is required to submit a noise certification compliance 
report that includes the following.
    A36.5.2.1  The applicant must present measured and corrected sound 
pressure levels in one-third octave band levels that are obtained with 
equipment conforming to the standards described in section A36.3 of this 
appendix.
    A36.5.2.2  The applicant must report the make and model of equipment 
used for measurement and analysis of all acoustic performance and 
meteorological data.
    A36.5.2.3  The applicant must report the following atmospheric 
environmental data, as measured immediately before, after, or during 
each test at the observation points prescribed in section A36.2 of this 
appendix.
    (a) Air temperature and relative humidity;
    (b) Maximum, minimum and average wind velocities; and
    (c) Atmospheric pressure.

[[Page 804]]

    A36.5.2.4  The applicant must report conditions of local topography, 
ground cover, and events that might interfere with sound recordings.
    A36.5.2.5  The applicant must report the following:
    (a) Type, model and serial numbers (if any) of airplane, engine(s), 
or propeller(s) (as applicable);
    (b) Gross dimensions of airplane and location of engines;
    (c) Airplane gross weight for each test run and center of gravity 
range for each series of test runs;
    (d) Airplane configuration such as flap, airbrakes and landing gear 
positions for each test run;
    (e) Whether auxiliary power units (APU), when fitted, are operating 
for each test run;
    (f) Status of pneumatic engine bleeds and engine power take-offs for 
each test run;
    (g) Indicated airspeed in knots or kilometers per hour for each test 
run;
    (h) Engine performance data:
    (1) For jet airplanes: engine performance in terms of net thrust, 
engine pressure ratios, jet exhaust temperatures and fan or compressor 
shaft rotational speeds as determined from airplane instruments and 
manufacturer's data for each test run;
    (2) For propeller-driven airplanes: engine performance in terms of 
brake horsepower and residual thrust; or equivalent shaft horsepower; or 
engine torque and propeller rotational speed; as determined from 
airplane instruments and manufacturer's data for each test run;
    (i) Airplane flight path and ground speed during each test run; and
    (j) The applicant must report whether the airplane has any 
modifications or non-standard equipment likely to affect the noise 
characteristics of the airplane. The FAA must approve any such 
modifications or non-standard equipment.
    A36.5.3  Reporting of noise certification reference conditions.
    A36.5.3.1  Airplane position and performance data and the noise 
measurements must be corrected to the noise certification reference 
conditions specified in the relevant sections of appendix B of this 
part. The applicant must report these conditions, including reference 
parameters, procedures and configurations.
    A36.5.4  Validity of results.
    A36.5.4.1  Three average reference EPNL values and their 90 percent 
confidence limits must be produced from the test results and reported, 
each such value being the arithmetical average of the adjusted 
acoustical measurements for all valid test runs at each measurement 
point (flyover, lateral, or approach). If more than one acoustic 
measurement system is used at any single measurement location, the 
resulting data for each test run must be averaged as a single 
measurement. The calculation must be performed by:
    (a) Computing the arithmetic average for each flight phase using the 
values from each microphone point; and
    (b) Computing the overall arithmetic average for each reference 
condition (flyover, lateral or approach) using the values in paragraph 
(a) of this section and the related 90 percent confidence limits.
    A36.5.4.2  For each of the three certification measuring points, the 
minimum sample size is six. The sample size must be large enough to 
establish statistically for each of the three average noise 
certification levels a 90 percent confidence limit not exceeding 
1.5 EPNdB. No test result may be omitted from the averaging 
process unless approved by the FAA.
    Note: Permitted methods for calculating the 90 percent confidence 
interval are shown in the current advisory circular for this part.
    A36.5.4.3  The average EPNL figures obtained by the process 
described in section A36.5.4.1 must be those by which the noise 
performance of the airplane is assessed against the noise certification 
criteria.

             Section A36.6  Nomenclature: Symbols and Units

------------------------------------------------------------------------
        Symbol                   Unit                    Meaning
------------------------------------------------------------------------
antilog...............  ......................  Antilogarithm to the
                                                 base 10.
C(k)..................  dB....................  Tone correction factor.
                                                 The factor to be added
                                                 to PNL(k) to account
                                                 for the presence of
                                                 spectral irregularities
                                                 such as tones at the k-
                                                 th increment of time.
d.....................  s.....................  Duration time. The time
                                                 interval between the
                                                 limits of t(1) and t(2)
                                                 to the nearest 0.5
                                                 second.
D.....................  dB....................  Duration correction. The
                                                 factor to be added to
                                                 PNLTM to account for
                                                 the duration of the
                                                 noise.
EPNL..................  EPNdB.................  Effective perceived
                                                 noise level. The value
                                                 of PNL adjusted for
                                                 both spectral
                                                 irregularities and
                                                 duration of the noise.
                                                 (The unit EPNdB is used
                                                 instead of the unit
                                                 dB).
EPNLr.................  EPNdB.................  Effective perceived
                                                 noise level adjusted
                                                 for reference
                                                 conditions.
f(i)..................  Hz....................  Frequency. The
                                                 geometrical mean
                                                 frequency for the i-th
                                                 one-third octave band.

[[Page 805]]


F (i, k)..............  dB....................  Delta-dB. The difference
                                                 between the original
                                                 sound pressure level
                                                 and the final
                                                 background sound
                                                 pressure level in the i-
                                                 th one-third octave
                                                 band at the k-th
                                                 interval of time. In
                                                 this case, background
                                                 sound pressure level
                                                 means the broadband
                                                 noise level that would
                                                 be present in the one-
                                                 third octave band in
                                                 the absence of the
                                                 tone.
h.....................  dB....................  dB-down. The value to be
                                                 subtracted from PNLTM
                                                 that defines the
                                                 duration of the noise.
H.....................  Percent...............  Relative humidity. The
                                                 ambient atmospheric
                                                 relative humidity.
i.....................  ......................  Frequency band index.
                                                 The numerical indicator
                                                 that denotes any one of
                                                 the 24 one-third octave
                                                 bands with geometrical
                                                 mean frequencies from
                                                 50 to 10,000 Hz.
k.....................  ......................  Time increment index.
                                                 The numerical indicator
                                                 that denotes the number
                                                 of equal time
                                                 increments that have
                                                 elapsed from a
                                                 reference zero.
Log...................  ......................  Logarithm to the base
                                                 10.
log n(a)..............  ......................  Noy discontinuity
                                                 coordinate. The log n
                                                 value of the
                                                 intersection point of
                                                 the straight lines
                                                 representing the
                                                 variation of SPL with
                                                 log n.
M(b), M(c), etc.......  ......................  Noy inverse slope. The
                                                 reciprocals of the
                                                 slopes of straight
                                                 lines representing the
                                                 variation of SPL with
                                                 log n.
n.....................  noy...................  The perceived noisiness
                                                 at any instant of time
                                                 that occurs in a
                                                 specified frequency
                                                 range.
n(i,k)................  noy...................  The perceived noisiness
                                                 at the k-th instant of
                                                 time that occurs in the
                                                 i-th one-third octave
                                                 band.
n(k)..................  noy...................  Maximum perceived
                                                 noisiness. The maximum
                                                 value of all of the 24
                                                 values of n(i) that
                                                 occurs at the k-th
                                                 instant of time.
N(k)..................  noy...................  Total perceived
                                                 noisiness. The total
                                                 perceived noisiness at
                                                 the k-th instant of
                                                 time calculated from
                                                 the 24-instantaneous
                                                 values of n (i, k).
p(b), p(c), etc.......  ......................  Noy slope. The slopes of
                                                 straight lines
                                                 representing the
                                                 variation of SPL with
                                                 log n.
PNL...................  PNdB..................  The perceived noise
                                                 level at any instant of
                                                 time. (The unit PNdB is
                                                 used instead of the
                                                 unit dB).
PNL(k)................  PNdB..................  The perceived noise
                                                 level calculated from
                                                 the 24 values of SPL
                                                 (i, k), at the k-th
                                                 increment of time. (The
                                                 unit PNdB is used
                                                 instead of the unit
                                                 dB).
PNLM..................  PNdB..................  Maximum perceived noise
                                                 level. The maximum
                                                 value of PNL(k). (The
                                                 unit PNdB is used
                                                 instead of the unit
                                                 dB).
PNLT..................  TPNdB.................  Tone-corrected perceived
                                                 noise level. The value
                                                 of PNL adjusted for the
                                                 spectral irregularities
                                                 that occur at any
                                                 instant of time. (The
                                                 unit TPNdB is used
                                                 instead of the unit
                                                 dB).
PNLT(k)...............  TPNdB.................  The tone-corrected
                                                 perceived noise level
                                                 that occurs at the k-th
                                                 increment of time.
                                                 PNLT(k) is obtained by
                                                 adjusting the value of
                                                 PNL(k) for the spectral
                                                 irregularities that
                                                 occur at the k-th
                                                 increment of time. (The
                                                 unit TPNdB is used
                                                 instead of the unit
                                                 dB).
PNLTM.................  TPNdB.................  Maximum tone-corrected
                                                 perceived noise level.
                                                 The maximum value of
                                                 PNLT(k). (The unit
                                                 TPNdB is used instead
                                                 of the unit dB).
PNLTr.................  TPNdB.................  Tone-corrected perceived
                                                 noise level adjusted
                                                 for reference
                                                 conditions.
s (i, k)..............  dB....................  Slope of sound pressure
                                                 level. The change in
                                                 level between adjacent
                                                 one-third octave band
                                                 sound pressure levels
                                                 at the i-th band for
                                                 the k-th instant of
                                                 time.
[Delta]s (i, k).......  dB....................  Change in slope of sound
                                                 pressure level.
s' (i, k).............  dB....................  Adjusted slope of sound
                                                 pressure level. The
                                                 change in level between
                                                 adjacent adjusted one-
                                                 third octave band sound
                                                 pressure levels at the
                                                 i-th band for the k-th
                                                 instant of time.
s (i, k)..............  dB....................  Average slope of sound
                                                 pressure level.
SPL...................  dB re.................  Sound pressure level.
                        20 [mu]Pa.............   The sound pressure
                                                 level that occurs in a
                                                 specified frequency
                                                 range at any instant of
                                                 time.
SPL(a)................  dB re.................  Noy discontinuity
                        20 [mu]Pa.............   coordinate. The SPL
                                                 value of the
                                                 intersection point of
                                                 the straight lines
                                                 representing the
                                                 variation of SPL with
                                                 log n.
SPL(b)................  dB re.................  Noy intercept. The
SPL (c)...............  20 [mu]Pa.............   intercepts on the SPL-
                                                 axis of the straight
                                                 lines representing the
                                                 variation of SPL with
                                                 log n.
SPL (i, k)............  dB re.................  The sound pressure level
                        20 [mu]Pa.............   at the k-th instant of
                                                 time that occurs in the
                                                 i-th one-third octave
                                                 band.

[[Page 806]]


SPL' (i, k)...........  dB re.................  Adjusted sound pressure
                        20 [mu]Pa.............   level. The first
                                                 approximation to
                                                 background sound
                                                 pressure level in the i-
                                                 th one-third octave
                                                 band for the k-th
                                                 instant of time.
SPL(i)................  dB re.................  Maximum sound pressure
                        20 [mu]Pa.............   level. The sound
                                                 pressure level that
                                                 occurs in the i-th one-
                                                 third octave band of
                                                 the spectrum for PNLTM.
SPL(i)r...............  dB re.................  Corrected maximum sound
                        20 [mu]Pa.............   pressure level. The
                                                 sound pressure level
                                                 that occurs in the i-th
                                                 one-third octave band
                                                 of the spectrum for
                                                 PNLTM corrected for
                                                 atmospheric sound
                                                 absorption.
SPL' (i, k)...........  dB re.................  Final background sound
                        20 [mu]Pa.............   pressure level. The
                                                 second and final
                                                 approximation to
                                                 background sound
                                                 pressure level in the i-
                                                 th one-third octave
                                                 band for the k-th
                                                 instant of time.
t.....................  s.....................  Elapsed time. The length
                                                 of time measured from a
                                                 reference zero.
t(1), t(2)............  s.....................  Time limit. The
                                                 beginning and end,
                                                 respectively, of the
                                                 noise time history
                                                 defined by h.
[Delta]t..............  s.....................  Time increment. The
                                                 equal increments of
                                                 time for which PNL(k)
                                                 and PNLT(k) are
                                                 calculated.
T.....................  s.....................  Normalizing time
                                                 constant. The length of
                                                 time used as a
                                                 reference in the
                                                 integration method for
                                                 computing duration
                                                 corrections, where
                                                 T=10s.
t(  deg.F) (  deg.C)..    deg.F,  deg.C.......  Temperature. The ambient
                                                 air temperature.
[alpha](i)............  dB/1000ft db/100m.....  Test atmospheric
                                                 absorption. The
                                                 atmospheric attenuation
                                                 of sound that occurs in
                                                 the i-th one-third
                                                 octave band at the
                                                 measured air
                                                 temperature and
                                                 relative humidity.
[alpha](i)o...........  dB/1000ft db/100m.....  Reference atmospheric
                                                 absorption. The
                                                 atmospheric attenuation
                                                 of sound that occurs in
                                                 the i-th one-third
                                                 octave band at a
                                                 reference air
                                                 temperature and
                                                 relative humidity.
A1....................  Degrees...............  First constant climb
                                                 angle (Gear up, speed
                                                 of at least V2+10 kt
                                                 (V2+19 km/h), takeoff
                                                 thrust).
A2....................  Degrees...............  Second constant climb
                                                 angle (Gear up, speed
                                                 of at least V2+10 kt
                                                 (V2+19 km/h), after cut-
                                                 back).
[delta]...............  Degrees...............  Thrust cutback angles.
[egr].................                           The angles defining the
                                                 points on the takeoff
                                                 flight path at which
                                                 thrust reduction is
                                                 started and ended
                                                 respectively.
[eta].................  Degrees...............  Approach angle.
[eta]r................  Degrees...............  Reference approach
                                                 angle.
[thetas]..............  Degrees...............  Noise angle (relative to
                                                 flight path). The angle
                                                 between the flight path
                                                 and noise path. It is
                                                 identical for both
                                                 measured and corrected
                                                 flight paths.
[psi].................  Degrees...............  Noise angle (relative to
                                                 ground). The angle
                                                 between the noise path
                                                 and the ground. It is
                                                 identical for both
                                                 measured and corrected
                                                 flight paths.
[mu]..................  ......................  Engine noise emission
                                                 parameter.
[mu]r.................  ......................  Reference engine noise
                                                 emission parameter.
[Delta]1..............  EPNdB.................  PNLT correction. The
                                                 correction to be added
                                                 to the EPNL calculated
                                                 from measured data to
                                                 account for noise level
                                                 changes due to
                                                 differences in
                                                 atmospheric absorption
                                                 and noise path length
                                                 between reference and
                                                 test conditions.
[Delta]2..............  EPNdB.................  Adjustment to duration
                                                 correction. The
                                                 adjustment to be made
                                                 to the EPNL calculated
                                                 from measured data to
                                                 account for noise level
                                                 changes due to the
                                                 noise duration between
                                                 reference and test
                                                 conditions.
[Delta]3..............  EPNdB.................  Source noise adjustment.
                                                 The adjustment to be
                                                 made to the EPNL
                                                 calculated from
                                                 measured data to
                                                 account for noise level
                                                 changes due to
                                                 differences between
                                                 reference and test
                                                 engine operating
                                                 conditions.
------------------------------------------------------------------------

                 Section A36.7  Sound Attenuation in Air

    A36.7.1  The atmospheric attenuation of sound must be determined in 
accordance with the procedure presented in section A36.7.2.
    A36.7.2  The relationship between sound attenuation, frequency, 
temperature, and humidity is expressed by the following equations.
    A36.7.2(a)  For calculations using the English System of Units:

[[Page 807]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.010

and
[GRAPHIC] [TIFF OMITTED] TR08JY02.011

where

[eta]([delta]) is listed in Table A36-4 and f0 in Table A36-
5;
[alpha](i) is the attenuation coefficient in dB/1000 ft;
[thetas] is the temperature in  deg.F; and
H is the relative humidity, expressed as a percentage.

    A36.7.2(b) For calculations using the International System of Units 
(SI):
[GRAPHIC] [TIFF OMITTED] TR08JY02.012

and
[GRAPHIC] [TIFF OMITTED] TR08JY02.013

where

[eta]([delta]) is listed in Table A36-4 and f0 in Table A36-
5;
[alpha](i) is the attenuation coefficient in dB/100 m;
[thetas] is the temperature in  deg.C; and
H is the relative humidity, expressed as a percentage.

    A36.7.3  The values listed in table A36-4 are to be used when 
calculating the equations listed in section A36.7.2. A term of quadratic 
interpolation is to be used where necessary.

[[Page 808]]

                        Section A36.8  [Reserved]
[GRAPHIC] [TIFF OMITTED] TR08JY02.014

       Section A36.9  Adjustment of Airplane Flight Test Results.

    A36.9.1  When certification test conditions are not identical to 
reference conditions, appropriate adjustments must be made to the 
measured noise data using the methods described in this section.
    A36.9.1.1  Adjustments to the measured noise values must be made 
using one of the methods described in sections A36.9.3 and A36.9.4 for 
differences in the following:
    (a) Attenuation of the noise along its path as affected by ``inverse 
square'' and atmospheric attenuation

[[Page 809]]

    (b) Duration of the noise as affected by the distance and the speed 
of the airplane relative to the measuring point
    (c) Source noise emitted by the engine as affected by the 
differences between test and reference engine operating conditions
    (d) Airplane/engine source noise as affected by differences between 
test and reference airspeeds. In addition to the effect on duration, the 
effects of airspeed on component noise sources must be accounted for as 
follows: for conventional airplane configurations, when differences 
between test and reference airspeeds exceed 15 knots (28 km/h) true 
airspeed, test data and/or analysis approved by the FAA must be used to 
quantify the effects of the airspeed adjustment on resulting 
certification noise levels.
    A36.9.1.2  The ``integrated'' method of adjustment, described in 
section A36.9.4, must be used on takeoff or approach under the following 
conditions:
    (a) When the amount of the adjustment (using the ``simplified'' 
method) is greater than 8 dB on flyover, or 4 dB on approach; or
    (b) When the resulting final EPNL value on flyover or approach 
(using the simplified method) is within 1 dB of the limiting noise 
levels as prescribed in section B36.5 of this part.
    A36.9.2  Flight profiles.
    As described below, flight profiles for both test and reference 
conditions are defined by their geometry relative to the ground, 
together with the associated airplane speed relative to the ground, and 
the associated engine control parameter(s) used for determining the 
noise emission of the airplane.
    A36.9.2.1  Takeoff Profile.
    Note: Figure A36-4 illustrates a typical takeoff profile.
    (a) The airplane begins the takeoff roll at point A, lifts off at 
point B and begins its first climb at a constant angle at point C. Where 
thrust or power (as appropriate) cut-back is used, it is started at 
point D and completed at point E. From here, the airplane begins a 
second climb at a constant angle up to point F, the end of the noise 
certification takeoff flight path.
    (b) Position K1 is the takeoff noise measuring station 
and AK1 is the distance from start of roll to the flyover 
measuring point. Position K2 is the lateral noise measuring 
station, which is located on a line parallel to, and the specified 
distance from, the runway center line where the noise level during 
takeoff is greatest.
    (c) The distance AF is the distance over which the airplane position 
is measured and synchronized with the noise measurements, as required by 
section A36.2.3.2 of this part.
    A36.9.2.2  Approach Profile.
    Note: Figure A36-5 illustrates a typical approach profile.
    (a) The airplane begins its noise certification approach flight path 
at point G and touches down on the runway at point J, at a distance OJ 
from the runway threshold.
    (b) Position K3 is the approach noise measuring station 
and K3O is the distance from the approach noise measurement 
point to the runway threshold.
    (c) The distance GI is the distance over which the airplane position 
is measured and synchronized with the noise measurements, as required by 
section A36.2.3.2 of this part.

[[Page 810]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.015

The airplane reference point for approach measurements is the instrument 
landing system (ILS) antenna. If no ILS antenna is installed an 
alternative reference point must be approved by the FAA.
    A36.9.3  Simplified method of adjustment.
    A36.9.3.1  General. As described below, the simplified adjustment 
method consists of applying adjustments (to the EPNL, which is 
calculated from the measured data) for the differences between measured 
and reference conditions at the moment of PNLTM.
    A36.9.3.2  Adjustments to PNL and PNLT.
    (a) The portions of the test flight path and the reference flight 
path described below, and illustrated in Figure A36-6, include the noise 
time history that is relevant to the calculation of flyover and approach 
EPNL. In figure A36-6:

[[Page 811]]

    (1) XY represents the portion of the measured flight path that 
includes the noise time history relevant to the calculation of flyover 
and approach EPNL; XrYr represents the 
corresponding portion of the reference flight path.
    (2) Q represents the airplane's position on the measured flight path 
at which the noise was emitted and observed as PNLTM at the noise 
measuring station K. Qr is the corresponding position on the 
reference flight path, and Kr the reference measuring 
station. QK and QrKr are, respectively, the 
measured
[GRAPHIC] [TIFF OMITTED] TR08JY02.016

and reference noise propagation paths, Qr being determined 
from the assumption that QK and QrKr form the same 
angle [thetas] with their respective flight paths.
    (b) The portions of the test flight path and the reference flight 
path described in paragraph (b)(1) and (2), and illustrated in Figure 
A36-7(a) and (b), include the noise time history that is relevant to the 
calculation of lateral EPNL.
    (1) In figure A36-7(a), XY represents the portion of the measured 
flight path that includes the noise time history that is relevant to the 
calculation of lateral EPNL; in figure A36-7(b), 
XrYr represents the corresponding portion of the 
reference flight path.
    (2) Q represents the airplane position on the measured flight path 
at which the noise was emitted and observed as PNLTM at the noise 
measuring station K. Qr is the corresponding position on the 
reference flight path, and Kr the reference measuring 
station. QK and QrKr are, respectively, the 
measured and reference noise propagation paths. In this case 
Kr is only specified as being on a particular Lateral line; 
Kr and Qr are therefore determined from the 
assumptions that QK and QrKr:
    (i) Form the same angle [thetas] with their respective flight paths; 
and
    (ii) Form the same angle [psi] with the ground.
    Note: For the lateral noise measurement, sound propagation is 
affected not only by inverse square and atmospheric attenuation, but 
also by ground absorption and reflection effects which depend mainly on 
the angle [psi].

[[Page 812]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.017

    A36.9.3.2.1  The one-third octave band levels SPL(i) comprising PNL 
(the PNL at the moment of PNLTM observed at K) must be adjusted to 
reference levels SPL(i)r as follows:
    A36.9.3.2.1(a)  For calculations using the English System of Units:

SPL(i)r=SPL(i)+0.001[[alpha](i)-[alpha](i)0]QK
+0.001[alpha](i)0(QK-QrKr)
+20log(QK/QrKr)

    In this expression,
    (1) The term 0.001[[alpha](i)-[alpha](i)0]QK is the 
adjustment for the effect of the change in sound attenuation 
coefficient, and [alpha](i) and [alpha](i)0 are the 
coefficients for the test and reference atmospheric conditions 
respectively, determined under section A36.7 of this appendix;
    (2) The term 0.001[alpha](i)0(QK - 
QrKr) is the adjustment for the effect of the 
change in the noise path length on the sound attenuation;
    (3) The term 20 log(QK/QrKr) is the adjustment 
for the effect of the change in the noise path length due to the 
``inverse square'' law;
    (4) QK and QrKr are measured in feet and 
[alpha](i) and [alpha](i)0 are expressed in dB/1000 ft.
    A36.9.3.2.1(b) For calculations using the International System of 
Units:

SPL(i)r=SPL(i)+0.01[[alpha](i)-[alpha](i)0]QK
+0.01[alpha](i)0 (QK - QrKr)
+20 log(QK/QrKr)

In this expression,

[[Page 813]]

    (1) The term 0.01[[alpha](i) - [alpha](i)0]QK is the 
adjustment for the effect of the change in sound attenuation 
coefficient, and [alpha](i) and [alpha](i)0 are the 
coefficients for the test and reference atmospheric conditions 
respectively, determined under section A36.7 of this appendix;
    (2) The term 0.01[alpha](i)0(QK - 
QrKr) is the adjustment for the effect of the 
change in the noise path length on the sound attenuation;
    (3) The term 20 log(QK/QrKr) is the adjustment 
for the effect of the change in the noise path length due to the inverse 
square law;
    (4) QK and QrKr are measured in meters and 
[alpha](i) and [alpha](i)0 are expressed in dB/100 m.
    A36.9.3.2.1.1 PNLT Correction.
    (a) Convert the corrected values, SPL(i)r, to 
PNLTr;
    (b) Calculate the correction term [Delta]1 using the 
following equation:

[Delta]1=PNLTr - PNLTM

    A36.9.3.2.1.2  Add [Delta]1 arithmetically to the EPNL 
calculated from the measured data.
    A36.9.3.2.2  If, during a test flight, several peak values of PNLT 
that are within 2 dB of PNLTM are observed, the procedure defined in 
section A36.9.3.2.1 must be applied at each peak, and the adjustment 
term, calculated according to section A36.9.3.2.1, must be added to each 
peak to give corresponding adjusted peak values of PNLT. If these peak 
values exceed the value at the moment of PNLTM, the maximum value of 
such exceedance must be added as a further adjustment to the EPNL 
calculated from the measured data.
    A36.9.3.3  Adjustments to duration correction.
    A36.9.3.3.1  Whenever the measured flight paths and/or the ground 
velocities of the test conditions differ from the reference flight paths 
and/or the ground velocities of the reference conditions, duration 
adjustments must be applied to the EPNL values calculated from the 
measured data. The adjustments must be calculated as described below.
    A36.9.3.3.2  For the flight path shown in Figure A36-6, the 
adjustment term is calculated as follows:

[Delta]2=-7.5 log(QK/QrKr)+10 log(V/
Vr)

    (a) Add [Delta]2 arithmetically to the EPNL calculated 
from the measured data.
    A36.9.3.4  Source noise adjustments.
    A36.9.3.4.1  To account for differences between the parameters 
affecting engine noise as measured in the certification flight tests, 
and those calculated or specified in the reference conditions, the 
source noise adjustment must be calculated and applied. The adjustment 
is determined from the manufacturer's data approved by the FAA. Typical 
data used for this adjustment are illustrated in Figure A36-8 that shows 
a curve of EPNL versus the engine control parameter [mu], with the EPNL 
data being corrected to all the other relevant reference conditions 
(airplane mass, speed and altitude, air temperature) and for the 
difference in noise between the test engine and the average engine (as 
defined in section B36.7(b)(7)). A sufficient number of data points over 
a range of values of [mu]r is required to calculate the 
source noise adjustments for lateral, flyover and approach noise 
measurements.
[GRAPHIC] [TIFF OMITTED] TR08JY02.018

    A36.9.3.4.2  Calculate adjustment term [Delta]3 by 
subtracting the EPNL value corresponding to the parameter [mu] from the 
EPNL value corresponding to the parameter

[[Page 814]]

[mu]r. Add [Delta]3 arithmetically to the EPNL 
value calculated from the measured data.
    A36.9.3.5  Symmetry adjustments.
    A36.9.3.5.1  A symmetry adjustment to each lateral noise value 
(determined at the section B36.4(b) measurement points), is to be made 
as follows:
    (a) If the symmetrical measurement point is opposite the point where 
the highest noise level is obtained on the main lateral measurement 
line, the certification noise level is the arithmetic mean of the noise 
levels measured at these two points (see Figure A36-9(a));
    (b) If the condition described in paragraph (a) of this section is 
not met, then it is assumed that the variation of noise with the 
altitude of the airplane is the same on both sides; there is a constant 
difference between the lines of noise versus altitude on both sides (see 
figure A36-9(b)). The certification noise level is the maximum value of 
the mean between these lines.
[GRAPHIC] [TIFF OMITTED] TR08JY02.019

    A36.9.4  Integrated method of adjustment
    A36.9.4.1  General. As described in this section, the integrated 
adjustment method consists of recomputing under reference conditions 
points on the PNLT time history corresponding to measured points 
obtained during the tests, and computing EPNL directly for the new time 
history obtained in this way. The main principles are described in 
sections A36.9.4.2 through A36.9.4.4.1.
    A36.9.4.2  PNLT computations.
    (a) The portions of the test flight path and the reference flight 
path described in paragraph (a)(1) and (2), and illustrated in Figure 
A36-10, include the noise time history that is relevant to the 
calculation of flyover and approach EPNL. In figure A36-10:

[[Page 815]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.020

    (1) XY represents the portion of the measured flight path that 
includes the noise time history relevant to the calculation of flyover 
and approach EPNL; XrYr represents the 
corresponding reference flight path.
    (2) The points Q0, Q1, Qn represent 
airplane positions on the measured flight path at time t0, 
t1 and tn respectively. Point Q1 is the 
point at which the noise was emitted and observed as one-third octave 
values SPL(i)1 at the noise measuring station K at time 
t1. Point Qr1 represents the corresponding 
position on the reference flight path for noise observed as 
SPL(i)r1 at the reference measuring station Kr at 
time tr1. Q1K and Qr1Kr are 
respectively the measured and reference noise propagation paths, which 
in each case form the angle [thetas]1 with their respective 
flight paths. Qr0 and Qrn are similarly the points 
on the reference flight path corresponding to Q0 and 
Qn on the measured flight path. Q0 and 
Qn are chosen so that between Qr0 and 
Qrn all values of PNLTr (computed as described in 
paragraphs A36.9.4.2.2 and A36.9.4.2.3) within 10 dB of the peak value 
are included.
    (b) The portions of the test flight path and the reference flight 
path described in paragraph (b)(1) and (2), and illustrated in Figure 
A36-11(a) and (b), include the noise time history that is relevant to 
the calculation of lateral EPNL.
    (1) In figure A36-11(a) XY represents the portion of the measured 
flight path that includes the noise time history that is relevant to the 
calculation of lateral EPNL; in figure A36-11(b), 
XrYr represents the corresponding portion of the 
reference flight path.
    (2) The points Q0, Q1 and Qn 
represent airplane positions on the measured flight path at time 
t0, t1 and tn respectively. Point 
Q1 is the point at which the noise was emitted and observed 
as one-third octave values SPL(i)1 at the noise measuring 
station K at time t1. The point Qr1 represents the 
corresponding position on the reference flight path for noise observed 
as SPL(i)r1 at the measuring station Kr at time 
tr1. Q1K and Qr1Kr are 
respectively the measured and reference noise propagation paths. 
Qr0 and Qrn are similarly the points on the 
reference flight path corresponding to Q0 and Qn 
on the measured flight path.

[[Page 816]]

[GRAPHIC] [TIFF OMITTED] TR08JY02.021

    Q0 and Qn are chosen to that between 
Qro and Qrn all values of PNLTr 
(computed as described in paragraphs A36.9.4.2.2 and A36.9.4.2.3) within 
10 dB of the peak value are included. In this case Kr is only 
specified as

[[Page 817]]

being on a particular lateral line. The position of Kr and 
Qr1 are determined from the following requirements.
    (i) Q1K and Qr1Kr form the same 
angle [thetas]1 with their respective flight paths; and
    (ii) The differences between the angles 1 and 
r1 must be minimized using a method, approved by the FAA. The 
differences between the angles are minimized since, for geometrical 
reasons, it is generally not possible to choose Kr so that 
the condition described in paragraph A36.9.4.2(b)(2)(i) is met while at 
the same time keeping 1 and r1 equal.
    Note: For the lateral noise measurement, sound propagation is 
affected not only by ``inverse square'' and atmospheric attenuation, but 
also by ground absorption and reflection effects which depend mainly on 
the angle.
    A36.9.4.2.1  In paragraphs A36.9.4.2(a)(2) and (b)(2) the time 
tr1 is later (for Qr1Kr  
Q1K) than t1 by two separate amounts:
    (1) The time taken for the airplane to travel the distance 
Qr1Qr0 at a speed Vr less the time 
taken for it to travel Q1Q0 at V;
    (2) The time taken for sound to travel the distance 
Qr1Kr-Q1K.
    Note: For the flight paths described in paragraphs A36.9.4.2(a) and 
(b), the use of thrust or power cut-back will result in test and 
reference flight paths at full thrust or power and at cut-back thrust or 
power. Where the transient region between these thrust or power levels 
affects the final result, an interpolation must be made between them by 
an approved method such as that given in the current advisory circular 
for this part.
    A36.9.4.2.2  The measured values of SPL(i)1 must be 
adjusted to the reference values SPL(i)r1 to account for the 
differences between measured and reference noise path lengths and 
between measured and reference atmospheric conditions, using the methods 
of section A36.9.3.2.1 of this appendix. A corresponding value of 
PNLr1 must be computed according to the method in section 
A36.4.2. Values of PNLr must be computed for times 
t0 through tn.
    A36.9.4.2.3  For each value of PNLr1, a tone correction 
factor C1 must be determined by analyzing the reference 
values SPL(i)r using the methods of section A36.4.3 of this 
appendix, and added to PNLr1 to yield PNLTr1. 
Using the process described in this paragraph, values of 
PNLTr must be computed for times t0 through 
tn.
    A36.9.4.3  Duration correction.
    A36.9.4.3.1  The values of PNLTr corresponding to those 
of PNLT at each one-half second interval must be plotted against time 
(PNLTr1 at time tr1). The duration correction must 
then be determined using the method of section A36.4.5.1 of this 
appendix, to yield EPNLr.
    A36.9.4.4  Source Noise Adjustment.
    A36.9.4.4.1  A source noise adjustment, [Delta]3, must be 
determined using the methods of section A36.9.3.4 of this appendix.

              A36.9.5  Flight Path Identification Positions
------------------------------------------------------------------------
             Position                            Description
------------------------------------------------------------------------
A.................................  Start of Takeoff roll.
B.................................  Lift-off.
C.................................  Start of first constant climb.
D.................................  Start of thrust reduction.
E.................................  Start of second constant climb.
F.................................  End of noise certification Takeoff
                                     flight path.
G.................................  Start of noise certification
                                     Approach flight path.
H.................................  Position on Approach path directly
                                     above noise measuring station.
I.................................  Start of level-off.
J.................................  Touchdown.
K.................................  Noise measurement point.
Kr................................  Reference measurement point.
K1................................  Flyover noise measurement point.
K2................................  Lateral noise measurement point.
K3................................  Approach noise measurement point.
M.................................  End of noise certification Takeoff
                                     flight track.
O.................................  Threshold of Approach end of runway.
P.................................  Start of noise certification
                                     Approach flight track.
Q.................................  Position on measured Takeoff flight
                                     path corresponding to apparent
                                     PNLTM at station K See section
                                     A36.9.3.2.
Qr................................  Position on corrected Takeoff flight
                                     path corresponding to PNLTM at
                                     station K. See section A36.9.3.2.
V.................................  Airplane test speed.
Vr................................  Airplane reference speed.
------------------------------------------------------------------------


                     A36.9.6  Flight Path Distances
------------------------------------------------------------------------
        Distance                 Unit                   Meaning
------------------------------------------------------------------------
AB.....................  Feet (meters).......  Length of takeoff roll.
                                                The distance along the
                                                runway between the start
                                                of takeoff roll and lift
                                                off.
AK.....................  Feet (meters).......  Takeoff measurement
                                                distance. The distance
                                                from the start of roll
                                                to the takeoff noise
                                                measurement station
                                                along the extended
                                                center line of the
                                                runway.
AM.....................  Feet (meters).......  Takeoff flight track
                                                distance. The distance
                                                from the start of roll
                                                to the takeoff flight
                                                track position along the
                                                extended center line of
                                                the runway after which
                                                the position of the
                                                airplane need no longer
                                                be recorded.
QK.....................  Feet (meters).......  Measured noise path. The
                                                distance from the
                                                measured airplane
                                                position Q to station K.
QrKr...................  Feet (meters).......  Reference noise path. The
                                                distance from the
                                                reference airplane
                                                position Qr to station
                                                Kr.
K3H....................  Feet (meters).......  Airplane approach height.
                                                The height of the
                                                airplane above the
                                                approach measuring
                                                station.

[[Page 818]]


OK3....................  Feet (meters).......  Approach measurement
                                                distance. The distance
                                                from the runway
                                                threshold to the
                                                approach measurement
                                                station along the
                                                extended center line of
                                                the runway.
OP.....................  Feet (meters).......  Approach flight track
                                                distance. The distance
                                                from the runway
                                                threshold to the
                                                approach flight track
                                                position along the
                                                extended center line of
                                                the runway after which
                                                the position of the
                                                airplane need no longer
                                                be recorded.
------------------------------------------------------------------------


[Amdt. 36-54, 67 FR 45212, July 8, 2002; Amdt. 36-24, 67 FR 63195, 
63196, Oct. 10, 2002; Amdt. 36-24, 68 FR 1512, Jan. 10, 2003]

   Appendix B to Part 36--Noise Levels for Transport Category and Jet 
                       Airplanes Under Sec. 36.103

Sec.
B36.1  Noise Measurement and Evaluation.
B36.2  Noise Evaluation Metric.
B36.3  Reference Noise Measurement Points.
B36.4  Test Noise Measurement Points.
B36.5  Maximum Noise Levels.
B36.6  Trade-Offs.
B36.7  Noise Certification Reference Procedures and Conditions.
B36.8  Noise Certification Test Procedures.

             Section B36.1  Noise Measurement and Evaluation

    Compliance with this appendix must be shown with noise levels 
measured and evaluated using the procedures of appendix A of this part, 
or under approved equivalent procedures.

                 Section B36.2  Noise Evaluation Metric

    The noise evaluation metric is the effective perceived noise level 
expressed in EPNdB, as calculated using the procedures of appendix A of 
this part.

            Section B36.3  Reference Noise Measurement Points

    When tested using the procedures of this part, except as provided in 
section B36.6, an airplane may not exceed the noise levels specified in 
section B36.5 at the following points on level terrain:
    (a) Lateral full-power reference noise measurement point:
    (1) For jet airplanes: The point on a line parallel to and 1,476 
feet (450 m) from the runway centerline, or extended centerline, where 
the noise level after lift-off is at a maximum during takeoff. For the 
purpose of showing compliance with Stage 1 or Stage 2 noise limits for 
an airplane powered by more than three jet engines, the distance from 
the runway centerline must be 0.35 nautical miles (648 m). For jet 
airplanes, when approved by the FAA, the maximum lateral noise at 
takeoff thrust may be assumed to occur at the point (or its approved 
equivalent) along the extended centerline of the runway where the 
airplane reaches 985 feet (300 meters) altitude above ground level. A 
height of 1427 feet (435 meters) may be assumed for Stage 1 or Stage 2 
four engine airplanes. The altitude of the airplane as it passes the 
noise measurement points must be within +328 to -164 feet (+100 to -50 
meters) of the target altitude. For airplanes powered by other than jet 
engines, the altitude for maximum lateral noise must be determined 
experimentally.
    (2) For propeller-driven airplanes: The point on the extended 
centerline of the runway above which the airplane, at full takeoff 
power, reaches a height of 2,133 feet (650 meters). For tests conducted 
before August 7, 2002, an applicant may use the measurement point 
specified in section B36.3(a)(1) as an alternative.
    (b) Flyover reference noise measurement point: The point on the 
extended centerline of the runway that is 21,325 feet (6,500 m) from the 
start of the takeoff roll;
    (c) Approach reference noise measurement point: The point on the 
extended centerline of the runway that is 6,562 feet (2,000 m) from the 
runway threshold. On level ground, this corresponds to a position that 
is 394 feet (120 m) vertically below the 3 deg. descent path, which 
originates at a point on the runway 984 feet (300 m) beyond the 
threshold.

              Section B36.4  Test noise measurement points.

    (a) If the test noise measurement points are not located at the 
reference noise measurement points, any corrections for the difference 
in position are to be made using the same adjustment procedures as for 
the differences between test and reference flight paths.
    (b) The applicant must use a sufficient number of lateral test noise 
measurement points to demonstrate to the FAA that the maximum noise 
level on the appropriate lateral line has been determined. For jet 
airplanes, simultaneous measurements must be made at one test noise 
measurement point at its symmetrical point on the other side of the 
runway. Propeller-driven airplanes have an inherent asymmetry in lateral 
noise. Therefore, simultaneous measurements must be made at each and 
every test noise measurement point at its symmetrical position on the 
opposite side of the runway. The measurement points are considered to be 
symmetrical if they are longitudinally within 33 feet (10 
meters) of each other.

[[Page 819]]

                   Section B36.5  Maximum Noise Levels

    Except as provided in section B36.6 of this appendix, maximum noise 
levels, when determined in accordance with the noise evaluation methods 
of appendix A of this part, may not exceed the following:
    (a) For acoustical changes to Stage 1 airplanes, regardless of the 
number of engines, the noise levels prescribed under Sec. 36.7(c) of 
this part.
    (b) For any Stage 2 airplane regardless of the number of engines:
    (1) Flyover: 108 EPNdB for maximum weight of 600,000 pounds or more; 
for each halving of maximum weight (from 600,000 pounds), reduce the 
limit by 5 EPNdB; the limit is 93 EPNdB for a maximum weight of 75,000 
pounds or less.
    (2) Lateral and approach: 108 EPNdB for maximum weight of 600,000 
pounds or more; for each halving of maximum weight (from 600,000 
pounds), reduce the limit by 2 EPNdB; the limit is 102 EPNdB for a 
maximum weight of 75,000 pounds or less.
    (c) For any Stage 3 airplane:
    (1) Flyover.
    (i) For airplanes with more than 3 engines: 106 EPNdB for maximum 
weight of 850,000 pounds or more; for each halving of maximum weight 
(from 850,000 pounds), reduce the limit by 4 EPNdB; the limit is 89 
EPNdB for a maximum weight of 44,673 pounds or less;
    (ii) For airplanes with 3 engines: 104 EPNdB for maximum weight of 
850,000 pounds or more; for each halving of maximum weight (from 850,000 
pounds), reduce the limit by 4 EPNdB; the limit is 89 EPNdB for a 
maximum weight of 63,177 pounds or less; and
    (iii) For airplanes with fewer than 3 engines: 101 EPNdB for maximum 
weight of 850,000 pounds or more; for each halving of maximum weight 
(from 850,000 pounds), reduce the limit by 4 EPNdB; the limit is 89 
EPNdB for a maximum weight of 106,250 pounds or less.
    (2) Lateral, regardless of the number of engines: 103 EPNdB for 
maximum weight of 882,000 pounds or more; for each halving of maximum 
weight (from 882,000 pounds), reduce the limit by 2.56 EPNdB; the limit 
is 94 EPNdB for a maximum weight of 77,200 pounds or less.
    (3) Approach, regardless of the number of engines: 105 EPNdB for 
maximum weight of 617,300 pounds or more; for each halving of maximum 
weight (from 617,300 pounds), reduce the limit by 2.33 EPNdB; the limit 
is 98 EPNdB for a maximum weight of 77,200 pounds or less.

                        Section B36.6  Trade-Offs

    Except when prohibited by sections 36.7(c)(1) and 36.7(d)(1)(ii), if 
the maximum noise levels are exceeded at any one or two measurement 
points, the following conditions must be met:
    (a) The sum of the exceedance(s) may not be greater than 3 EPNdB;
    (b) Any exceedance at any single point may not be greater than 2 
EPNdB, and
    (c) Any exceedance(s) must be offset by a corresponding amount at 
another point or points.

 Section B36.7  Noise Certification Reference Procedures and Conditions

    (a) General conditions:
    (1) All reference procedures must meet the requirements of section 
36.3 of this part.
    (2) Calculations of airplane performance and flight path must be 
made using the reference procedures and must be approved by the FAA.
    (3) Applicants must use the takeoff and approach reference 
procedures prescribed in paragraphs (b) and (c) of this section.
    (4) [Reserved]
    (5) The reference procedures must be determined for the following 
reference conditions. The reference atmosphere is homogeneous in terms 
of temperature and relative humidity when used for the calculation of 
atmospheric absorption coefficients.
    (i) Sea level atmospheric pressure of 2116 pounds per square foot 
(psf) (1013.25 hPa);
    (ii) Ambient sea-level air temperature of 77  deg.F (25  deg.C, i.e. 
ISA+10  deg.C);
    (iii) Relative humidity of 70 per cent;
    (iv) Zero wind.
    (v) In defining the reference takeoff flight path(s) for the takeoff 
and lateral noise measurements, the runway gradient is zero.
    (b) Takeoff reference procedure:
    The takeoff reference flight path is to be calculated using the 
following:
    (1) Average engine takeoff thrust or power must be used from the 
start of takeoff to the point where at least the following height above 
runway level is reached. The takeoff thrust/power used must be the 
maximum available for normal operations given in the performance section 
of the airplane flight manual under the reference atmospheric conditions 
given in section B36.7(a)(5).
    (i) For Stage 1 airplanes and for Stage 2 airplanes that do not have 
jet engines with a bypass ratio of 2 or more, the following apply:
    (A): For airplanes with more than three jet engines--700 feet (214 
meters).
    (B): For all other airplanes--1,000 feet (305 meters).
    (ii) For Stage 2 airplanes that have jet engines with a bypass ratio 
of 2 or more and for Stage 3 airplanes, the following apply:
    (A): For airplanes with more than three engines--689 feet (210 
meters).
    (B): For airplanes with three engines--853 feet (260 meters).
    (C): For airplanes with fewer than three engines--984 feet (300 
meters).

[[Page 820]]

    (2) Upon reaching the height specified in paragraph (b)(1) of this 
section, airplane thrust or power must not be reduced below that 
required to maintain either of the following, whichever is greater:
    (i) A climb gradient of 4 per cent; or
    (ii) In the case of multi-engine airplanes, level flight with one 
engine inoperative.
    (3) For the purpose of determining the lateral noise level, the 
reference flight path must be calculated using full takeoff power 
throughout the test run without a reduction in thrust or power. For 
tests conducted before August 7, 2002, a single reference flight path 
that includes thrust cutback in accordance with paragraph (b)(2) of this 
section, is an acceptable alternative in determining the lateral noise 
level.
    (4) The takeoff reference speed is the all-engine operating takeoff 
climb speed selected by the applicant for use in normal operation; this 
speed must be at least V2+10kt (V2+19km/h) but may not be greater than 
V2+20kt (V2+37km/h). This speed must be attained as soon as practicable 
after lift-off and be maintained throughout the takeoff noise 
certification test. For Concorde airplanes, the test day speeds and the 
acoustic day reference speed are the minimum approved value of V2+35 
knots, or the all-engines-operating speed at 35 feet, whichever speed is 
greater as determined under the regulations constituting the type 
certification basis of the airplane; this reference speed may not exceed 
250 knots. For all airplanes, noise values measured at the test day 
speeds must be corrected to the acoustic day reference speed.
    (5) The takeoff configuration selected by the applicant must be 
maintained constantly throughout the takeoff reference procedure, except 
that the landing gear may be retracted. Configuration means the center 
of gravity position, and the status of the airplane systems that can 
affect airplane performance or noise. Examples include, the position of 
lift augmentation devices, whether the APU is operating, and whether air 
bleeds and engine power take-offs are operating;
    (6) The weight of the airplane at the brake release must be the 
maximum takeoff weight at which the noise certification is requested, 
which may result in an operating limitation as specified in 
Sec. 36.1581(d); and
    (7) The average engine is defined as the average of all the 
certification compliant engines used during the airplane flight tests, 
up to and during certification, when operating within the limitations 
and according to the procedures given in the Flight Manual. This will 
determine the relationship of thrust/power to control parameters (e.g., 
N1 or EPR). Noise measurements made during certification 
tests must be corrected using this relationship.
    (c) Approach reference procedure:
    The approach reference flight path must be calculated using the 
following:
    (1) The airplane is stabilized and following a 3 deg. glide path;
    (2) For subsonic airplanes, a steady approach speed of 
Vref + 10 kts (Vref + 19 km/h) with thrust and 
power stabilized must be established and maintained over the approach 
measuring point. Vref is the reference landing speed, which 
is defined as the speed of the airplane, in a specified landing 
configuration, at the point where it descends through the landing screen 
height in the determination of the landing distance for manual landings. 
For Concorde airplanes, a steady approach speed that is either the 
landing reference speed + 10 knots or the speed used in establishing the 
approved landing distance under the airworthiness regulations 
constituting the type certification basis of the airplane, whichever 
speed is greater. This speed must be established and maintained over the 
approach measuring point.
    (3) The constant approach configuration used in the airworthiness 
certification tests, but with the landing gear down, must be maintained 
throughout the approach reference procedure;
    (4) The weight of the airplane at touchdown must be the maximum 
landing weight permitted in the approach configuration defined in 
paragraph (c)(3) of this section at which noise certification is 
requested, except as provided in Sec. 36.1581(d) of this part; and
    (5) The most critical configuration must be used; this configuration 
is defined as that which produces the highest noise level with normal 
deployment of aerodynamic control surfaces including lift and drag 
producing devices, at the weight at which certification is requested. 
This configuration includes all those items listed in section A36.5.2.5 
of appendix A of this part that contribute to the noisiest continuous 
state at the maximum landing weight in normal operation.

           Section B36.8  Noise Certification Test Procedures

    (a) All test procedures must be approved by the FAA.
    (b) The test procedures and noise measurements must be conducted and 
processed in an approved manner to yield the noise evaluation metric 
EPNL, in units of EPNdB, as described in appendix A of this part.
    (c) Acoustic data must be adjusted to the reference conditions 
specified in this appendix using the methods described in appendix A of 
this part. Adjustments for speed and thrust must be made as described in 
section A36.9 of this part.
    (d) If the airplane's weight during the test is different from the 
weight at which noise certification is requested, the required EPNL 
adjustment may not exceed 2 EPNdB for each takeoff and 1 EPNdB for each 
approach. Data approved by the FAA must be used to

[[Page 821]]

determine the variation of EPNL with weight for both takeoff and 
approach test conditions. The necessary EPNL adjustment for variations 
in approach flight path from the reference flight path must not exceed 2 
EPNdB.
    (e) For approach, a steady glide path angle of 3 deg.  
0.5 deg. is acceptable.
    (f) If equivalent test procedures different from the reference 
procedures are used, the test procedures and all methods for adjusting 
the results to the reference procedures must be approved by the FAA. The 
adjustments may not exceed 16 EPNdB on takeoff and 8 EPNdB on approach. 
If the adjustment is more than 8 EPNdB on takeoff, or more than 4 EPNdB 
on approach, the resulting numbers must be more than 2 EPNdB below the 
limit noise levels specified in section B36.5.
    (g) During takeoff, lateral, and approach tests, the airplane 
variation in instantaneous indicated airspeed must be maintained within 
3% of the average airspeed between the 10 dB-down points. 
This airspeed is determined by the pilot's airspeed indicator. However, 
if the instantaneous indicated airspeed exceeds 3 kt 
(5.5 km/h) of the average airspeed over the 10 dB-down 
points, and is determined by the FAA representative on the flight deck 
to be due to atmospheric turbulence, then the flight so affected must be 
rejected for noise certification purposes.
    Note: Guidance material on the use of equivalent procedures is 
provided in the current advisory circular for this part.

[Amdt. 36-54, 67 FR 45235, July 8, 2002; Amdt. 36-24, 67 FR 63196, Oct. 
10, 2002; Amdt. 36-24, 68 FR 1512, Jan. 10, 2003]

                  Appendixes C-E to Part 36 [Reserved]

 Appendix F to Part 36--Flyover Noise Requirements for Propeller-Driven 
    Small Airplane and Propeller-Driven, Commuter Category Airplane 
             Certification Tests Prior to December 22, 1988

                             part a--general

Sec.
F36.1  Scope.

                        part b--noise measurement

F36.101  General test conditions.
F36.103  Acoustical measurement system.
F36.105  Sensing, recording, and reproducing equipment.
F36.107  Noise measurement procedures.
F36.109  Data recording, reporting, and approval.
F36.111  Flight procedures.

                         part c--data correction

F36.201  Correction of data.
F36.203  Validity of results.

                          part d--noise limits

F36.301  Aircraft noise limits.

                             part a--general

    Section F36.1 Scope. This appendix prescribes noise level limits and 
procedures for measuring and correcting noise data for the propeller 
driven small airplanes specified in Secs. 36.1 and 36.501(b).

                        part b--noise measurement

Sec. F36.101   General test conditions.

    (a) The test area must be relatively flat terrain having no 
excessive sound absorption characteristics such as those caused by 
thick, matted, or tall grass, by shrubs, or by wooded areas. No 
obstructions which significantly influence the sound field from the 
airplane may exist within a conical space above the measurement 
position, the cone being defined by an axis normal to the ground and by 
a half-angle 75 degrees from this axis.
    (b) The tests must be carried out under the following conditions:
    (1) There may be no precipitation.
    (2) Relative humidity may not be higher than 90 percent or lower 
than 30 percent.
    (3) Ambient temperature may not be above 86 degrees F. or below 41 
degrees F. at 33[foot] above ground. If the measurement site is within 1 
n.m. of an airport thermometer the airport reported temperature may be 
used.
    (4) Reported wind may not be above 10 knots at 33[foot] above 
ground. If wind velocities of more than 4 knots are reported, the flight 
direction must be aligned to within 15 degrees of wind 
direction and flights with tail wind and head wind must be made in equal 
numbers. If the measurement site is within 1 n.m. of an airport 
anemometer, the airport reported wind may be used.
    (5) There may be no temperature inversion or anomalous wind 
conditions that would significantly alter the noise level of the 
a