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BUILT-IN MATHEMATICA SYMBOL
ListFourierSequenceTransform
ListFourierSequenceTransform[list, 
]
gives the discrete-time Fourier transform (DTFT) of a list as a function of the parameter .
ListFourierSequenceTransform[list, , k]
places the first element of list at integer time k on the infinite time axis.
ListFourierSequenceTransform[list, {1, 2, ...}, {k1, k2, ...}]
gives the multidimensional discrete-time Fourier transform
Details and Options
- By default, the one-dimensional discrete-time Fourier transform of a list
of length 
is computed as 
. - ListFourierSequenceTransform[list, ] is equivalent to ListFourierSequenceTransform[list, , 0].
- ListFourierSequenceTransform takes FourierParameters option. Common settings for FourierParameters include:
-
default settings {1, -2Pi} 
period 1 
general setting - ListFourierSequenceTransform[list, , k] effectively computes FourierSequenceTransform[f[r], r, ] for a sequence f with
for 1<=r<=Length[list] and
otherwise.
New in 9
