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In signal processing, sampling is the reduction of a continuous-domain signal to a discrete-domain signal.

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Can someone please explain to me how to sample in the time domain?

I am trying to understand how the Nyquist-Shannon theorem applies to sampling in the time domain. Suppose I want to sample a function whose time constants I know. … And it also shows the sampling frequency as being $2\pi$ times the bandwidth (I think) for reasons that I don't understand. …