# 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

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## Basic Examples(1)

Chirp Z transform of a list:

 In:= Out= ## Neat Examples(1)

Introduced in 2012
(9.0)