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I think, that this terminology originates from digital singalsignal processing:

Given a signal at a given frequency, one would like to get an approximation toof the signal, thatwhich would be obtained by sampling with a frequency $n$ times higher ($n$ times smaller) than for the original signal. The resulting signal should be close to the original in a certain sense - in the Fourier domain, for instance.

I think, that this terminology originates from digital singal processing:

Given a signal at a given frequency one would like to get an approximation to the signal, that would be obtained by sampling with a frequency $n$ times higher ($n$ times smaller) than for the original signal. The resulting signal should be close to the original in a certain sense - in the Fourier domain, for instance.

I think that this terminology originates from digital signal processing:

Given a signal at a given frequency, one would like to get an approximation of the signal, which would be obtained by sampling with a frequency $n$ times higher ($n$ times smaller) than for the original signal. The resulting signal should be close to the original in a certain sense - in the Fourier domain, for instance.

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I think, that this terminology originates from digital singal processing:

Given a signal at a given frequency one would like to get an approximation to the signal, that would be obtained by sampling with a frequency $n$ times higher ($n$ times smaller) than for the original signal. The resulting signal should be close to the original in a certain sense - in the Fourier domain, for instance.