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The Discrete Fourier Transform (DFT) is a mapping between a finite set of discrete points in a (primal) domain (time, space) and the dual frequency domain. DFT requires an input sequence which is discrete, such as a sampling from an analogue audio signal.
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votes
DFT of discrete signals, why do we only analyze frequency bins equal to number of input samp...
One easy way to understand DFT is direct substitution of $k$ in $X[k]$.
If you calculate $X[N:2N-1]$, you will get the same result with $X[0:N-1]$. …