"Joseph Meditz" wrote:
Although the OP is tangled up in his own underwear, I think that
he's
alluding to the relationship between sampling rate and quantization
noise.

Can you explain the "relationship between sampling rate and
quantization
noise"? I thought sampling and quantization were two independent
effects,
sampling being an essentially analog effect creating no noise within
the
signal bandwidth as long as the sampling rate is greater than two
times
the signal bandwidth, while quantization is the conversion of sample
values to discrete digital values and does create noise?

The sampling theorem does not mention quantization noise. It assumes
that your samples are analog, i.e., infinite precision, snapshots of
the voltage waveform and that the reconstruction filter, which connects
the dots as it were, is also ideal. In a practical system samples are
quantized to some finite precision and the reconstruction filter is not
ideal.

If you had two identical systems each using 16 bit words but differing
only in sampling rate, one being Fs = 44.1kHz and the other with Fs =
88.2 kHz, and you sampled program material using both and then played
it on two systems that used Fs = 44.1 and 88.2 kHz respectively, then
the signal to quantization noise of the second would be 3 dB, or 1/2
bit, better than the first.

Joe