BUILT-IN MATHEMATICA SYMBOL

# FourierSequenceTransform

FourierSequenceTransform[expr, n, ]
gives the Fourier sequence transform of expr.

FourierSequenceTransform[expr, {n1, n2, ...}, {1, 2, ...}]
gives the multidimensional Fourier sequence transform.

## Details and OptionsDetails and Options

• FourierSequenceTransform is also known as discrete-time Fourier transform (DTFT).
• FourierSequenceTransform[expr, n, ] takes a sequence whose n term is given by expr, and yields a function of the continuous parameter .
• The Fourier sequence transform of is by default defined to be .
• The multidimensional transform of is defined to be .
• The following options can be given:
•  Assumptions \$Assumptions assumptions on parameters FourierParameters {1,1} parameters to definite discrete-time Fourier transform GenerateConditions False whether to generate results that involve conditions on parameters
• Common settings for FourierParameters include:
•  default settings {1, -2Pi} period 1 general setting

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Find the discrete-time Fourier transform of a simple signal:

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Find a bivariate discrete-time Fourier transform:

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