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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.

Notes 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 (1)

Every input below was run against the current Mathilda build and its output recorded.

Basic examples (1)

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.

References

See also: Fourier