2.4.2 Physiological and subjective acoustics
The sound pressure level, in decibels, of a sound or noise is 20
log10 (p1/p0) where
p1 is the root-mean-square (r.m.s.) sound pressure and
p0 is the reference sound pressure of 20 μPa (see ISO
131:1979). The A-weighted sound pressure level, in
decibels (dB(A)), is defined in the same way except that p1
is the r.m.s. sound pressure of the sound or noise as modified by a filter with
a standardised frequency characteristic known as the A-weighting. This provides
a measure of the noise more closely related to the frequency response of the
human ear. Values in the following table are taken from IEC 651:1979.
| |
Filter characteristics for
A-weighting |
| |
|
Frequency/Hz |
A-weighting/dB |
Frequency/Hz |
A-weighting/dB |
|
31.5 |
− 39.4 |
1 000 |
0.0 |
|
63 |
− 26.2 |
2 000 |
+ 1.2 |
|
125 |
− 16.1 |
4 000 |
+ 1.0 |
|
250 |
− 8.6 |
8 000 |
− 1.1 |
|
500 |
− 3.2 |
16 000 |
− 6.6 |
|
The subjective loudness of a sound as a function
of frequency, as perceived by the human ear/brain system, varies with the level
of the sound. The figure overleaf is taken from ISO 226:1987 and shows
equal-loudness level contours measured for young listeners with normal hearing
for sinusoidal plane sound waves coming from directly in front of the listener;
the sound pressure level is the level in the undisturbed wave.
Each contour on the graph overleaf is labelled with the
loudness level, in phons, which refers each contour to the sound
pressure level at 1000 Hz. The A-weighting characteristic roughly mirrors the
40 phon contour. The minimum audible field (MAF), which is illustrated
by a broken curve, represents the threshold of hearing and is tabulated
overleaf.
(Click the Image to view Larger Image)
| |
Minimum audible field |
| |
|
Frequency/Hz |
MAF/dB (re 20 μPa) |
Frequency/Hz |
MAF/dB (re 20 μPa) |
|
31.5 |
56.3 |
1000 |
4.2 |
|
63 |
35.5 |
2000 |
1.0 |
|
125 |
20.7 |
4000 |
− 3.9 |
|
250 |
11.2 |
8000 |
15.3 |
|
500 |
6.0 |
|
|
|
Sound at high levels is capable of causing temporary and
permanent damage to hearing. Susceptibility to damage differs between
individuals, but it can be noted that the European Community Directive (1986)
on workplace noise requires that preventative action be taken if a worker is
exposed to an A-weighted sound pressure level (averaged over an eight-hour day)
of more than 85 dB(A).
References
European Community (1986) Directive 86/188/EEC, OJ No L 137/28-34 of
24-5-1986. IEC 651:1979 Sound level meters. ISO 131:1979
Acoustics–Expression of physical and subjective magnitudes of sound or
noise in air. ISO 226:1987 Acoustics–Normal equal-loudness
level contours.
G.R. Torr
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