Chirp Signal Transform and Its Properties. (20th October 2014)

• Record Type: Journal Article
• Authors: Horai, Mio; Kobayashi, Hideo; Nitta, Takashi G.
• Other Names: Song Qiankun Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-10-20
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/161989
• Languages: English
• ISSNs: 1110-757X

Abstract

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.