[net.audio] Significant Digit

wm (11/06/82)

Aren't people being a little fast and lose with the meaning of dB?  I
thought dB's were only for comparing the levels of two different
sounds.  How can people talk about 90dB of dynamic range and a sound
level of 90dB in the same sentence?

Another thing that is bothering me.  I thought the whole controversy
about digital recording is that it introduces some insideous new form
of distortion.  I have seen recording engineers claim that they get
headaches listening to digitally recorded sound.  The person who
collected these negative attitudes about digital recording claimed it
was because of quantitization problems, which makes a certain amount of
sense since it is a characteristic of digital recording and would not
show up in traditional measurements of distortion.  In a response to
this, the point was made that some early digital recording equipment
were bad in this area, but it had been corrected.

But what do I know?  I haven't ever heard something played back on a
digital system.  Hmmmm.  I don't suppose there are any people on the
net who use digital audio equipment on a regular basis?  But I do
welcome the digital revolution in audio.  Not because of 90dB of
dyanmic range or wow or anything like that.  There are analog systems
around today that totally blow me away as it is.  I welcome it because
digital systems will be CHEAP!!!  Digital records cost about 10 cents
in materials.  Digital IC's are much cheaper than critical linearized
analog circuitry.  Switching power supplies and switching amplifiers
are much cheaper, and lighter, and smaller.  And all of this cheapness
will not affect that 90dB of dynamic range or 0% wow.  Everyone will be
able to have one hell of a good stereo.  You don't believe me?  Anyone
remember what calculators and computers used to cost?  Maybe some day
we will look back on current audio technology with the same amusement
we reserve for vacuum tube computers.

			Wm Leler - UNC Chapel Hill

ark (11/06/82)

It is true that strictly speaking one can only use dB to refer to a
ratio.  However, one can indeed talk about the absolute loudness of a
sound by mentioning dB SPL, where SPL stands for "sound pressure level."
While I do not know the exact reference points, 0 dB SPL has been established
as (approximately) the quietest sound that can be perceived by
someone with perfect hearing.  On that scale, I believe the threshold
of pain is about 130 dB SPL.  In other words, talking about the
loudness of a sound in dB is not really incorrect, just a bit sloppy.

On the subject of new distortions from digital recording:  I am no expert
in this, but I believe the most severe form of distortion comes when you
overload the thing.  After all, you are recording the signal level as
a binary integer of some size or other (I think 14 bits has become more or
less standard for "home" equipment) and you have no way of representing
a value that's too big.  Given that you do not overload, the remaining
distortions in a well-designed digital system are small indeed.  Note
that I said "well-designed."  I am fairly certain that the biggest pitfall
is something called "aliasing" which comes when you try to reproduce
signals with a higher frequency than half the sampling rate.
In this case, it is no longer possible to tell what frequency you
started with, and terrible things happen.  In order to prevent aliasing,
I think it is necessary for digital reproduction systems to have a rather
sharp low-pass filter in the chain.  Typical sampling rates are between
40 and 50 kHz, so your garden-variety digital system has a bandwidth of
20 kHz and NO MORE.

In trade for this you get tremendous dynamic range, distortion figures
that look more like an amplifier than a tape recorder, and unmeasurably
small wow and flutter.  Is the trade-off worth it?  Time will tell.

I would love to see some of the people who claim digital recordings have
strange distortions in the following test:  let them listen to two recordings.
One is a conventional analog master tape of something, say an orchestra.
Two microphones, quarter-inch half-track, 30 IPS, Dolby A,
best equipment available.  The other is a digital copy of the
anaog tape.  Match levels accurately, and then let neither the
experimenter nor the subject know in advance which is which.
(psychologists call this a double-blind experiment)
Now do it again, but instead of a digital copy of the analog tape
use a digital master tape.  Now the subject will know which is the
digital tape -- it will be quieter -- so said subject will be tipped
off.  This is why I like the digital copy of the analog tape as
comparison -- if there are "subtle distortions" this is the way
to bring them out.

tony (11/07/82)

#R:unc:-422700:pur-ee:12000001:000:487
pur-ee!tony    Nov  6 14:36:00 1982


The reference used in dB measurements is 2x10^-4 dyne/cm^2.
There`s nothing at all sloppy about this. You just need to
know what the reference is.

Quantization can be viewed as simply another source of noise.
If 14 bits are used, and one makes some reasonable assumptions
about the probability density function of the sound, (i.e. Laplacian)
then the SNR due to quantization works out to be around 77dB.
If you use all 16 bits, the SNR jumps to 89dB. Not too shabby.

				pur-ee!tony

marr (11/11/82)

    Does anyone have any idea whether or not the Canadian record companies
have also refused to pay the royalty to Philips for digital disk recordings?
I suppose some of our friends north the border might know the answer to this
one.
					    --Leon Marr