Open Access
2014 Chirp Signal Transform and Its Properties
Mio Horai, Hideo Kobayashi, Takashi G. Nitta
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/161989


The chirp signal exp(iπ(x-y)2) is a typical example of CAZAC (constant amplitude zero autocorrelation) sequence. Using the chirp signals, the chirp z transform and the chirp-Fourier transform were defined in order to calculate the discrete Fourier transform. We define a transform directly from the chirp signals for an even or odd number N and the continuous version. We study the fundamental properties of the transform and how it can be applied to recursion problems and differential equations. Furthermore, when N is not prime and N=ML, we define a transform skipped L and develop the theory for it.


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Mio Horai. Hideo Kobayashi. Takashi G. Nitta. "Chirp Signal Transform and Its Properties." J. Appl. Math. 2014 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131364
MathSciNet: MR3273938
Digital Object Identifier: 10.1155/2014/161989

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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