Understanding Noise Weighting Curves
Microphones, amplifiers, and recording systems all add some residual noise
to the signals passing through them, but the noise generating mechanism
and so the spectral content of the noise is different in each case. Tape
recorders, for example, add a lot of high frequency noise, compared to the
more even spectrum of some sources, and this is particularly audible
because the human ear is very sensitive in the 5 -7kHz region.
If noise measurements are to have any real value, allowing fair
comparisons of the true noise contributions from different types of
equipment, they should give a figure that is representative of what we
hear, and the first step towards this is the use of a Weighting Filter
, which emphasises some frequencies more than others. Additionally, it
turns out that there is another property of noise that varies, which also
affects its perceived loudness, and that is its amplitude distribution or
'peakiness'. Some noise spends much of its time around a mean level,
without significant peaks, but other sources of noise contain short peaks
which the ear seems to take special notice of, the loudness being more
related to the peak value than the mean. Just as very high frequencies
are barely heard, so very brief peaks also go unheard, and so just using a
peak reading rectifier is not the answer. Instead a 'Quasi Peak' or
'almost' peak reading meter is needed, its 'attack' time tailored to the
ears behaviour.
Early attempts to improve on basic noise measurement used what came to be
referred to as the 'A' Weighting curve, which had been derived from the
work of Fletcher and Munsen (1933) who investigated hearing variation with
frequency and found that they needed to plot a set of 'equal loudness'
contours because the ears frequency response was different at different
loudness levels. The curve representing loudness equal to that at 1kHz and
40dB SPL (sound pressure level) was known as the 40-phon curve, and was
(supposedly) adopted for weighting purposes. Later work by Robinson and
Dadson (1956), refined the method producing significantly different, and
more accurate curves however.
In 1968, two inventions began to make clear the inadequacy of A-weighting;
the introduction of FM Radio and the Compact Cassette. The latter in
particular, was found to sound a lot less noisy (10dB) with Dolby noise
reduction switched on, without measuring significantly better, and this
led to work on better ways of measuring noise. The BBC (British
Broadcasting Corporation) undertook a research project, culminating in BBC
Research Dept Report EL-17 entitled "The Assessment of Noise in Audio
Frequency Circuits", in which they studied the effectiveness of various
wieghting curves and rectifiers that had been devised by the world's
broadcasters, on all sorts of extreme noise sources, and they chose one
combination as being very effective. Later work refined this into what
became a world standard known as CCIR468, which, though it has gone
through versions 1 to 4 is still essentially unchanged, only the permitted
tolerances being altered.
Unfortunately, though CCIR468 was adopted by many major broadcasting
organisations, and also incorporated into standards from BS (British
Standards) and IEC (International Electrotechnical Commission) to EBU
(European Broadcasting Union), and for a while even became championed in
consumer reviews of Cassette Decks (notably by Angus McKenzie in the
1970's) it is now falling into disuse for one simple reason: in an age
when advertising rules, big figures are reckoned to sell products, even if
they are meaningless, and A-weighting gives bigger numbers!
This is something I am very keen to put right, before audio quality
measurement falls completely into disrepute. Measurements ARE valid, but
only if they are properly weighted, and CCIR weighting works very well
indeed. Lets all use it!
Noise Weighting Curves
Compared
The green curve is taken from the equal loudness contours of Robinson and
Dadson (1956) and represents the 40 Phon level.
Note that although the A-Weighting curve (Red) is often supposed to
approximate to this, it actually differs very significantly, being 10dB
low at 100Hz and 6db low at the peak of the all-important 2 to 6kHz
region where noise in audio systems predominates perceptually. It also
fails badly in the cutoff region being roughly 25dB high at 20kHz!
Although it has been pointed out that the A-weighting approximates better
to the earlier Fletcher-Munsen contour, on which it was based, this does
not alter the fact that it is a poor approximation to the later and more
reliable curves. As well as reflecting the innaccuracies of very early
headphones and microphones, the Fletcher-Munson curves suffered another
deficiency, becuse they did not use frontal sound source. We now know
that the external ear introduces big variations in frequency response
depending on the direction of the sound source, and its purpose is to
introduce such variations as directional cues that the brain can
interpret. Sound through headphones should never be presented with a flat
response, but should attempt to correct for this effect, as most modern
headphones attempt to do (though badly).
The ITU-468 weighting curve (Blue) (originally CCIR 464) arguably comes
closer in this region, the exact nature of the notch at 8kHz being so
listener dependant as to be not worth rendering. I have argued that this
curve might theoretically be expected to be higher at high frequencies and
lower at low frequencies because it is based on the ears sensitivity to
noise; and the ears hair cell channels, being of wider absolute bandwidth
at higher frequencies, give higher sensitivity to high frequency noise.
If the ear had geometric channel spacing (which it does not) then a 3dB
per octave tilt would have to be added to the R-D curve for
noise.
© Pete Skirrow 1999
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