[comp.sys.atari.st] Ariel Corp. Audio I/O Product

jhs@MITRE-BEDFORD.ARPA (02/01/87)

The use of a 3-pole Chebyshev filter for anti-aliasing, with cutoff at 20 KHz
and sampling rate of 50 KHz (Nyquist frequency at 25 KHz) strikes me as
"underkill".  The Chebyshev filter is only 3 dB down at "cutoff" and is
dropping off only 36 dB per ** OCTAVE ** thereafter.  Even assuming the
maximum sampling rate of 50 KHz, the Nyquist frequency (half the sampling
frequency or 25 KHz) is only 1.25 times the 3-dB cutoff frequency, whereas
an octave is 2:1, so the filter would be down only about 9 dB at the Nyquist
frequency.  This means that frequency components just above 25 KHz would be
attenuated only about 9 - 10 dB before being "folded" back down below 25 KHz.
Maybe this A/D converter would work OK for signal sources not containing much
signal power above 25 KHz, but on a really wideband source (e.g. direct
recording with a GOOD condenser mic. and enthusiastic playing of cymbals,
etc.) it could introduce very significant distortion of highs.  Especially
when compared to the theoretical performance of a 16-bit PCM system.

By comparison, the high-fidelity A/D I am most familiar with, which was built
by Stan Kriz of Three Rivers Computer back in the 70s (later called PERQ
Systems), used as I recall an 11th order (like 5.5 "poles", or maybe it was
really 11 pole) Elliptic Function filter.  These filters have a notch just
above the cutoff frequency and drop off to their full stopband attenuation
almost immediately above cutoff.  The Three Rivers converter was one of the
first to gain the acceptance and even praise of musicians who had always
objected to the "distorted" sound of digital audio systems even when the
engineers couldn't measure the distortion.

There are other factors to consider, because the use of a sharper filter might
introduce artifacts of a different sort, e.g. "ringing" on squarewaves or
sharp transients, but users of this product might want to look into the use of
a better filter ahead of the unit if they are dealing with very wideband
sources with lots of energy above 25 KHz.  You may not be able to hear it
BEFORE sampling, but you sure will AFTER sampling if it is not kept out of the
sampler circuit.

-John Sangster
jhs@mitre-bedford.arpa