Inverse Discrete Fourier Transform (IDFT)

Differences in the equation: sign and 1/N scaling.

Note that the inverse DFT requires N (not only N/2+1) values of Xm to regenerate N values of [Xk].

If  [Xk] is assumed real (usually the case), the missing values of Xm can be generated with the complex conjugate property (above).

To make the DFT IDFT reversible, the 1/N scaling factor is sometimes omitted in the IDFT.

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