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2012 Parseval Relationship of Samples in the Fractional Fourier Transform Domain
Bing-Zhao Li, Tian-Zhou Xu
J. Appl. Math. 2012(none): 1-11 (2012). DOI: 10.1155/2012/428142

Abstract

This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signal is obtained. Then, the relationship is extended to a general set of nonuniform samples of band-limited signal associated with the fractional Fourier transform. Finally, the two dimensional case is investigated in detail, it is also shown that the derived results can be regarded as the generalization of the classical ones in the Fourier domain to the fractional Fourier transform domain.

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Bing-Zhao Li. Tian-Zhou Xu. "Parseval Relationship of Samples in the Fractional Fourier Transform Domain." J. Appl. Math. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/428142

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1252.42045
MathSciNet: MR2948088
Digital Object Identifier: 10.1155/2012/428142

Rights: Copyright © 2012 Hindawi

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