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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 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
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