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Aliasing and discrete sinusoids

  1. Jan 28, 2012 #1
    Hello Forum,

    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.....

  2. jcsd
  3. Jan 31, 2012 #2
    well in discrete time, x[n] will not be defined for non integer arguments
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