This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# InverseFourierSequenceTransform

 InverseFourierSequenceTransform gives the inverse discrete-time Fourier transform of expr. InverseFourierSequenceTransformgives the multidimensional inverse Fourier sequence transform.
• The inverse Fourier sequence transform of is by default defined to be .
• The -dimensional inverse transform is given by .
• The following options can be given:
 Assumptions \$Assumptions assumptions on parameters FourierParameters {1,1} parameters to define transform GenerateConditions False whether to generate results that involve conditions on parameters
 default settings {1, -2Pi} period 1 general setting
Find the discrete-time inverse Fourier transform of :
Find a bivariate discrete-time inverse Fourier transform:
Find the discrete-time inverse Fourier transform of :
 Out[1]=
 Out[2]=

Find a bivariate discrete-time inverse Fourier transform:
 Out[1]=
 Out[2]=
 Scope   (3)
Inverse transform of rational exponential function:
Gaussian function:
A constant frequency gives an impulse and vice versa:
Rational function in :
 Options   (2)
Specify assumptions on a parameter:
Use a non-default setting for FourierParameters:
InverseFourierSequenceTransform is defined by an integral:
Just as InverseFourierTransform is closely related to InverseLaplaceTransform:
Inverse discrete-time Fourier transform for basis exponentials:
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