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    Engineering How to compute the DFT of a cosine

    Hi, Thank you for your reply. Ok, I guess that makes sense. In our book though, we technicaly haven't gotten to FFT so that probably why I haven't seen that yet. Your response gave me an idea, given the periodicity of e±j2πnk/N , instead of choosing k=1 and k=-1, I could just as easily...
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    Engineering How to compute the DFT of a cosine

    Hello, This is a more general question than anything, but I am curious how to compute the DFT of a cosine wave. Somebody tried to explain this to me as follows: start by trying to find an x(k) who's IDFT equals cos(2*pi*n/N). x(k) = (N/2) * (dirac-delat(k+1) _ dirac-delta(k-1)) only has values...
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