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InverseFourier

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description

InverseFourier[list]
    gives the inverse discrete Fourier transform of a list of complex numbers.
InverseFourier[list, {p1, p2, ...}]
    returns the specified positions of the inverse discrete Fourier transform.

The inverse transform of a length-n list v is u[r] = 1/n^((1+a)/2)
Sum_s v[s] Exp[-2 Pi I b (r-1)(s-1)/n], with {a,b} set by the
FourierParameters option (default {0,1}). InverseFourier inverts Fourier.

Examples

All examples below are verified against the current Mathilda build.

In[1]:= InverseFourier[Fourier[{1, 0, 1, 0, 1, 0}]]
Out[1]= {1.0, 0.0, 1.0, 0.0, 1.0, 0.0}

Implementation notes

Attributes: Protected.

Implementation status

Stable — documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

References