# How could one can say that frequency spectrum having Nyquist frequency 'x' is the most appropriate representation of a given signal?

I have a sinusoidal signal which has a period of 2 and I want to find the frequencies that are present.I assumed sampling interval as 0.01 and based on this I sampled the signal.The Nyquist frequency i got from this is suppose 'x'.Now if I change my sampling interval to 0.001, Nyquist frequency in this case is '10*x' So my question is,which frequency spectrum will represent the signal correctly, the one with Nyquist frequency 'x' or the one one with Nyquist frequency '10*x'

• Why is your sampling interval so small? Is this a homework problem? – Amal May 10 '16 at 16:18

• a bit above Nyquist (say, at $2.2B$, where $B$ is the signal bandwidth), to maximize the number of useful frequency bins, and