If We sample an Signal let say sine(2 * pi * f) with f=1Hz and a sampling Frequecy of Fs = 8Hz, is it right that the length of the data schoul be N = Fs/f or multiple of Fs/f like N= d*(Fs/f) with d=1,2,3,.., is that right ? i read often, that it is better to increase N, my question : we can only increase N with Nnew= d * Nold, right ? and not like Nnew= 1,2 * Nold?
for my example , with f=1HZ, Fs= 8Hz, T=1s, Ts=0,125s, N=8
we can increase to f=1HZ, Fs= 8Hz, T=2s, Ts=0,125s, Nnew=16,
but it would not be right to increase ist to f=1HZ, Fs= 8Hz, T=1,5s, Ts=0,125s, Nnew=12, wich is not right because x[n]=x[n+N] doesnt fit, right ?
...... if it is right above, then where do i know how to get the right lenght N if i down know my signal ? do i have to Look the x[n] Series of the Signal one by one to see where N (full Ciycle) of the signal ist ?