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DFT ( Discrete Fourier Transform )

Definition

DFT

  • $ X(k) = \sum^N-1_n=0{x(n)exp(-j2pikn/N) dn } k = 0, 1, 2, ..., N-1 $

Inverse DFT (IDFT)

  • $ x[n] = (1/N)\sum^N-1_k=0{X(k)exp(j2pikn/N) dk } n = 0, 1, 2, ..., N-1 $

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