Journal of Applied Mathematics

Chirp Signal Transform and Its Properties

Mio Horai, Hideo Kobayashi, and Takashi G. Nitta

Full-text: Open access

Abstract

The chirp signal exp ( i π ( 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 = M L , we define a transform skipped L and develop the theory for it.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 161989, 8 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425306040

Digital Object Identifier
doi:10.1155/2014/161989

Mathematical Reviews number (MathSciNet)
MR3273938

Citation

Horai, Mio; Kobayashi, Hideo; Nitta, Takashi G. Chirp Signal Transform and Its Properties. J. Appl. Math. 2014 (2014), Article ID 161989, 8 pages. doi:10.1155/2014/161989. https://projecteuclid.org/euclid.jam/1425306040


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