InverseFourier

InverseFourier[list] finds the discrete inverse Fourier transform of a list of complex numbers.

Examples

Reconstruct original signal:

data = {1, 2, 3, 4};
ft = Fourier[data];
InverseFourier[ft]
(* {1., 2., 3., 4.} *)

Round-trip verification:

Chop[InverseFourier[Fourier[{1, 0, 1, 0}]]]
(* {1., 0., 1., 0.} *)

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