Parseval Relationship of Samples in the Fractional Fourier Transform Domain

Bing‐Zhao Li, Tianzhou Xu

Type: Article

Publication Date: 2012-01-01

Citations: 12

DOI: https://doi.org/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.

Locations

Journal of Applied Mathematics - View - PDF
Project Euclid (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View

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+	Analysis of Kaiser and Gaussian Window Functions in the Fractional Fourier Transform Domain and Its Application	2018	Navdeep Goel Jatinder Singh
+	A Comprehensive Survey on Fractional Fourier Transform	2017	Yudong Zhang Shuihua Wang‎ Jianfei Yang Zheng Zhang Preetha Phillips Ping Sun Jie Yan
+	Fractional Fourier Transform: Duality, Correlation Theorem and Applications	2022	Mawardi Bahri Ryuichi Ashino
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