FourierSeries`
FourierSeries`
DTFourierTransform
As of Version 7.0, DTFourierTransform has been renamed to FourierSequenceTransform and is part of the built-in Wolfram Language kernel.
DTFourierTransform[expr,n,ω]
gives the discrete time Fourier transform of expr as a function of ω, where expr is a function of n.
Details and Options
- To use DTFourierTransform, you first need to load the Fourier Series Package using Needs["FourierSeries`"].
- The discrete time Fourier transform of expr is by default defined to be
expr 2πω. - DTFourierTransform returns a periodic function of ω with default period 1.
- Different choices for the definition of the discrete time Fourier transform can be specified using the option FourierParameters.
- With the setting FourierParameters->{a,b}, the discrete time Fourier transform computed by DTFourierTransform is
expr 2 πω, a periodic function of ω with a default period of 
.
Examples
Wolfram Research (2008), DTFourierTransform, Wolfram Language function, https://reference.wolfram.com/language/FourierSeries/ref/DTFourierTransform.html.
Text
Wolfram Research (2008), DTFourierTransform, Wolfram Language function, https://reference.wolfram.com/language/FourierSeries/ref/DTFourierTransform.html.
CMS
Wolfram Language. 2008. "DTFourierTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/FourierSeries/ref/DTFourierTransform.html.
APA
Wolfram Language. (2008). DTFourierTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/FourierSeries/ref/DTFourierTransform.html