a Nyquist series should look something like {...-1, 1, -1, 1, ... }, which i think means it is a sine wave sampled at the peaks and valleys exactly.
Now, given a sampling rate of 48 Hz, the Nyquist frequency should be 24 Hz.
If I am not mistaken, Nyquist series is basically the the dataset of a sine wave of frequency = Nyquist Frequency, sampled at the sampling rate given above.
in short, these are my matlab vars:
SR = 48; //sampling rate (hz)
X = 0:1/SR:2*pi; //domain (time in general)
fNy= SR/2; //nyquist frequency
Y1 = sin(2*pi*fNy*X);// a sine wave with freq = nyquist frequency.
when i plot X and Y1, i get a really messed up plot. (i think its zero since its so small in magnitude)
I believe that Y1 should be exactly = 1, -1, 1, -1, 1, -1 ... Where did I go wrong? thanks