InverseFourierSequenceTransform

InverseFourierSequenceTransform[expr,ω,n]

gives the inverse discrete-time Fourier transform of expr.

InverseFourierSequenceTransform[expr,{ω1,ω2,},{n1,n2,}]

gives the multidimensional inverse Fourier sequence transform.

Details and Options

Examples

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Basic Examples  (2)

Find the discrete-time inverse Fourier transform of :

Find a bivariate discrete-time inverse Fourier transform:

Scope  (3)

Inverse transform of rational exponential function:

Gaussian function:

A constant frequency gives an impulse and vice versa:

Rational function in :

Options  (2)

Assumptions  (1)

Specify assumptions on a parameter:

FourierParameters  (1)

Use a nondefault setting for FourierParameters:

Properties & Relations  (5)

InverseFourierSequenceTransform is defined by an integral:

InverseFourierSequenceTransform and FourierSequenceTransform are inverses:

InverseFourierSequenceTransform is closely related to InverseZTransform:

Just as InverseFourierTransform is closely related to InverseLaplaceTransform:

InverseFourierSequenceTransform is the same as FourierCoefficient:

Inverse discrete-time Fourier transform for basis exponentials:

Introduced in 2008
 (7.0)