a continuous time, continuous amplitude sinusoid like sin(2pi*f*t) is 2pi periodic:
where m can be any positive or negative integer. Let's sample the sinusoid at a sampling frequency fs (sample interval is ts=1/fs) and get the discrete signal
This book says: if we let m be an integer multiple of n, m=k*n, we can replace the ration m/n with k so that
What happens if m is not an integer multiple of n? Both m and n are integers (I get that), but I don't understand the constraint m=k*n....That does not seem general enough.....