What is A-weighting?
A-weighting is a frequency dependent curve (or filter) which is applied to sound pressure microphone measurements to mimic the effects of human hearing.
Given the same sound pressure levels, microphone recordings can be very different than the levels perceived by the human ear (Figure 1).
There are several reasons why there can be difference in sound levels between a microphone recording and human ear perception of sound.
The sound pressure on the microphone diaphragm versus the ear drum (Figure 2) can be very different, even in the same sound field:
Other differences are due to the cochlea hearing organ (Figure 2) and psychological effects:
Unlike the human ear, a microphone is not surrounded by a torso, pinna, and ear canal. There is no logarithmically shaped hearing organ in a microphone. It is no wonder there are differences between sound perceived by the human ear and a micorphone recording!
The A-weighting Curve
A-weighting is an established, standard curve that attempts to alter the sound pressure levels of recorded by a microphone measurement to more closely match the perception of the human ear.
The A-weighting curve (Figure 3) shows decibels of attenuation or gain at every frequency over the range of human hearing. This gain/attenuation is applied to the microphone measurement.
Typically, this gain/attenuation can be applied via:
Some key features of the A-weighting curve:
Sound calibrators often generate tones at 1000 Hz to take advantage of the characteristics of the A-weighting filter. The calculated calibration values cannot be affected by whether the A-weighting filter is present or not. Operators cannot accidentally forget to turn on/off the A-weighting filter and unintentionally change the calibration value.
How is the A-weighting curve used?
Suppose you measure 80 dB with a microphone at 100 Hz. If you look at the A-weighting curve at 100 Hz, an attenuation value of -20 dB is indicated (Figure 4).
Subtracting 20 dB from 80 dB yields 60 dB. To indicate that A-weighting was applied to the signal, the recorded value would be annotated as 60 dB(A) or 60 dBA.
To remove any doubts, it is also customary to annotate the original, unweighted values as “Linear”. For example, “80 dB Linear” or “80 dBL” or “80 dB(L)”.
This procedure is done at every frequency in the spectrum. It can also be applied to an octave spectrum as well.
Is dB(A) always lower than dB?
The A-weighting curve attentuates a great deal of the frequency range. Intuitively, one might guess that the overall dB(A) value will always be lower than the original overall dB (or dBL) value. This is not always the case.
For example, observe the spectrum shown in Figure 5. The overall dB value is 84.2 dB without A-weighting applied.
Now observe the spectrum shown in Figure 6 which has A-weighting applied. The overall dB value is 85.1 dB(A).
The A-weighted dB value of 85.1 dB(A) is higher than the Linear weighted value of 84.2 dB.
Why? This is because the whistle, with a frequency of approximately 1600 Hz, is in the frequency range (1000 to 6000 Hz) of the A-weighting curve where sound levels are amplified. The net effect of this amplification is greater than the reduction in the spectrum at all other frequencies. For example, the levels below 1000 Hz are greatly reduced by introducing A-weighting, but because they are lower in amplitude their net effect on the overall level is less than the amplification of the 1600 Hz whistle.
Table of Values
Table 1 contains a list of the A-weighting attenuation and amplification values in dB for 1/3 octave center frequencies.
The A-weighting curve was derived from the Fletcher-Munson curves of equal loudness. The American National Standards Institute (ANSI) was the first to implement the curve in Sound Level Meter standard published in 1936.
It should be kept in mind that the curve is not a perfect representation of effects of human hearing. In order to be able to develop cost effective analog circuits, the curve had to be simplified. For example, the A-weighting curve does not change as a function of the sound level like human hearing.
Other Types of Weighting
In addition to A-weighting, there are other acoustic weighting functions. They include B, C and D weighting as shown in Figure 7.
Used in various applications and industries, the B and C weighting curves are similar to A-weighting, but do not have as much attenuation below 1000 Hz. The C weighting curve is the flattest of the A, B and C curves. The D-weighting curve is typically used in very high pressure aeronautical noise applications, like airplane flyover noise.
Simcenter Testlab: Applying A-Weighting
In any graph in Simcenter Testlab, A-weighting can be applied by right clicking on the Y-axis as shown in Figure 8. Select “Processing -> Weighting -> A”.
Applying A-weighting can also be done in colormap and octave displays as well. This works inside the standard Simcenter Testlab, as well as Active Pictures in Powerpoint, Word, Excel, etc.