Chirp Signal Transform and Its Properties

Mio Horai, Hideo Kobayashi and Takashi G. Nitta

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/161989

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:161989

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