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Show that, if x[n] denotes a discrete signal, X(N+k) = X(K) where X(k) is the DFT of x[n]. This means that the spectrum is

Show that, if x[n] denotes a discrete signal, X(N+k) = X(K) where X(k) is the DFT of x[n]. This means that   

Show that, if x[n] denotes a discrete signal, X(N+k) = X(K) where X(k) is the DFT of x[n]. This means that the spectrum is periodic in N.

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