ABSTRACT
Another way to put this is that, if we are sampling at N points, and the highest frequency that contributes to f(x) is smax, it is necessary that smax=N/x max, so the sampling interval must not be larger than dx=xmax /N=1/smax. On the other hand, Nyquist proved that there is nothing to be gained by making dx smaller than 1/smax.
Therefore, data should be sampled at an interval no larger than
