02-23-12: MarqmikeThat's basically correct, IMO. The theory behind digital recording and reproduction stems from the Nyquist-Shannon Sampling Theorem, according to which absolutely no relevant information whatsoever will be lost as a result of sampling if the following hypothetical (and in some cases unattainable) conditions are satisfied:
I understand digital has the theoretical potential to be better than analog as we know it. Analog might read more of the signal originally by the microphone but after that it is at the mercy of everything downstream. Digital has the POTENTIAL [emphasis added] to actually rebuild the signal to the closest identity.... Just my thoughts but I may be wrong. Tell me.
1)The sampling rate is more than twice the frequency of the highest frequency component of the signal being sampled.
2)Each sample has an infinite number of bits.
3)The waveform being sampled is infinitely long.
4)Frequency components that might be present in the signal being sampled and converted to digital that are greater than one-half of the sampling rate are filtered out of the signal prior to sampling, by means of a filter that has no side effects on the remaining frequency components.
5)The frequency components that are filtered out in no. 4, if any, are at frequencies that are too high to matter.
6)Frequency components of the reconstructed analog signal, following digital to analog conversion, that represent sampling artifacts can be filtered out without side effects on the analog signal.
Obviously all of those conditions cannot be perfectly satisfied in the real world. To the extent that they are not satisfied, digital is an approximation. Which of those conditions is the most significant limiting factor in present day digital, with most music and assuming that the hardware implementation is optimal and that the recording is well engineered (and those of course are often invalid assumptions) is speculative.
FWIW, my own feeling (which I certainly can't prove, and other opinions will often differ) is that with the redbook CD format (44.1 kHz sampling with 16 bits per sample) number 4 (the "no side effects" part) is the most significant limiting factor. Hi rez formats, especially 192 kHz sampling with 24 bits per sample, can IF WELL IMPLEMENTED (in both the recording and the playback processes) greatly improve that and several of the other factors.
Regards,
-- Al

