DiscreteChirpZTransform
DiscreteChirpZTransform[list]
gives the chirp Z transform of list.
DiscreteChirpZTransform[list,n]
returns a length n chirp Z transform.
DiscreteChirpZTransform[list,n,w]
uses a spiral path on the complex plane defined by w.
DiscreteChirpZTransform[list,n,w,a]
uses a as the complex starting point.
DiscreteChirpZTransform[list,{n1,n2,…},{w1,w2,…},{a1,a2,…}]
gives the multidimensional chirp Z transform.
Details
- The chirp Z transform is an algorithm for evaluating the list Z transform of a finite duration sequence along a spiral path in the plane of the form . With DiscreteChirpZTransform[list,n,w,a], the Z transform is evaluated at points for integers from 0 to .
- DiscreteChirpZTransform[list] is equivalent to DiscreteChirpZTransform[list,Length[list]].
- DiscreteChirpZTransform[list,n] is equivalent to DiscreteChirpZTransform[list,n,Exp[2π /n],1].
- DiscreteChirpZTransform[list] is equivalent to Fourier[list,FourierParameters->{1,-1}]. »
Examples
open allclose allScope (3)
Applications (2)
Properties & Relations (4)
DiscreteChirpZTransform[list] is equivalent to Fourier[list,FourierParameters->{1,-1}]:
DiscreteChirpZTransform[list,n] is equivalent to Fourier[PadRight[list,n],FourierParameters->{1,-1}]:
DiscreteChirpZTransform[list,n] is equivalent to evaluating the Z transform of list on a circular path defined by for k from 0 to n-1:
DiscreteChirpZTransform[list,n,w,a] is equivalent to evaluating the Z transform of list on a spiral path defined by for k from 0 to n-1:
DiscreteChirpZTransform is faster compared to the explicit sampling of the Z transform:
Text
Wolfram Research (2012), DiscreteChirpZTransform, Wolfram Language function, https://reference.wolfram.com/language/ref/DiscreteChirpZTransform.html.
CMS
Wolfram Language. 2012. "DiscreteChirpZTransform." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/DiscreteChirpZTransform.html.
APA
Wolfram Language. (2012). DiscreteChirpZTransform. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/DiscreteChirpZTransform.html