this post was submitted on 28 Jul 2024
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It comes from mathematical interpolation. In order to find the frequency of a sine curve (and all signals are combinations of sine curves) you need at least two measured points per period. So the measurement frequency needs to be at least twice the signal frequency - at least of the parts of the signal you want to preserve. Frequencies higher than 22kHz are useless to our ears, so we can ignore them when sampling.
https://en.m.wikipedia.org/wiki/Nyquist%E2%80%93Shannon_sampling_theorem