The magical thing about Nyquist is that this isn't a problem. Two values is enough to define a pure sine wave at 20khz, and all you need is the ability to repre

The magical thing about Nyquist is that this isn't a problem. Two values is enough to define a pure sine wave at 20khz, and all you need is the ability to represent sine waves at every frequency (per Fourier analysis). This reaches the edge of my knowledge, but I think this is basically because the discrete values are 'slewed' (aka integrated aka low-pass filtered) into a continuous signal by the DAC. See: https://en.wikipedia.org/wiki/Sampling_(signal_processing) https://en.wikipedia.org/wiki/Sampling_(signal_processing)