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Nyquist-Shannon; The Backbone of Digital Sound

Most people don't understand how a digital recording is an exact reproduction of the analog waveform with no distortion.  Nyquist-Shannon says if you sample an audio signal digitally at twice the maximum bandwidth, as defined by the low-pass filter, mathematically the only signal that come out the other end, after going through another low-pass filter is the exact sine wave that went into the recorder. So, the digital sampling, actually can reproduce the exact analog sine wave -- all thanks to math. A Russian scientist invented Nyquist-Shannon in 1933 but it was rediscovered by Nyquist and Shannon in America circa 1964.

Badfinger – No Matter What

"Knock down the old brick wall, and be a part of it all
Nothing to say, nothing to see, nothing to do
If you would give me all, as I would give it to you
Nothing would be, nothing would be, nothing would be"