OWNERS MANUAL FOR WEISS MEDUS D/A CONVERTER
A physical law states that in order to represent any given analog signal in the digital domain, one
has to sample that signal with at least twice the freq ency of the highest freq ency contained in
the analog signal. If this law is violated so called aliasing components are generated which are
perceived as a very nasty kind of distortion. So if one defines the a dio band of interest to lie
between 0 and 20 kHz, then the minim m sampling freq ency for s ch signals m st be 40kHz.
For practical reasons explained below, the sampling freq ency of 44.1kHz was chosen for the CD. A
sampling freq ency of 44.1kHz allows to represent signals p to 22.05kHz. The designer of the
system has to take care that any freq encies above 22.05kHz are s fficiently s ppressed before
sampling at 44.1kHz. This s ppression is done with the help of a low pass filter which c ts off the
freq encies above 22.05kHz. In practice s ch a filter has a limited steepness, i.e. if it s ppresses
freq encies above 22.05kHz it also s ppresses freq encies between 20kHz and 22.05kHz to some
extent. So in order to have a filter which s fficiently s ppresses freq encies above 22.05kHz one
has to allow it to have a so called transition band between 20kHz and 22.05kHz where it grad ally
b ilds p its s ppression.
Note that so far we have talked abo t the so called anti-aliasing filter which filters the a dio signal
ahead of the A/D conversion process. For the D/A conversion, which is of more interest to the
High-End Hi-Fi enth siast, essentially the same filter is req ired. This is beca se after the D/A
conversion we have a time discrete analog signal, i.e. a signal which looks like steps, having the
rate of the sampling freq ency.
S ch a signal contains not only the original a dio signal between 0 and 20kHz b t also replicas of
the same signal symmetrical aro nd m ltiples of the sampling freq ency. This may so nd
complicated, b t the essence is that there are now signals above 22.05kHz. These signals come
from the sampling process. There are now freq encies above 22.05kHz which have to be
s ppressed, so that they do not ca se any intermod lation distortion in the amplifier and speakers,
do not b rn tweeters or do not make the dog go mad.
Again, a low pass filter, which is called a „reconstr ction filter“, is here to s ppress those
freq encies. The same applies to the reconstr ction filter as to the anti-aliasing filter: Pass-band
p to 20kHz, transition-band between 20kHz and 22.05kHz, stop-band above 22.05kHz. Yo may
think that s ch a filter is rather "steep", e.g. freq encies between 0 and 20kHz go thro gh
naffected and freq encies above 22.05kHz are s ppressed to maybe 1/100'000th of their initial
val e. Yo are right, s ch a filter is very steep and as s ch has some nasty side effects.
For instance it does strange things to the phase near the c t-off freq ency (20kHz) or it shows