Parseval relationship of samples in the fractional Fourier transform domain
type: Item
instance of: scholarly article
title: Parseval relationship of samples in the fractional Fourier transform domain
zbMATH Open document ID: 1252.42045
DOI: 10.1155/2012/428142
author: Bing-Zhao Li
author: Tian Zhou Xu
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signals is obtained. Then, the relationship is extended to a general set of nonuniform samples of band-limited signals 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 a generalization of the classical ones in the Fourier domain to the fractional Fourier transform domain.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 6106211
Wikidata QID: Q58905878
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/428142
OpenAlex ID: W2114928250
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DBLP publication ID: journals/jam/LiX12
description: scientific article; zbMATH DE number 6106211