The generalization of the Poisson sum formula associated with the linear canonical transform
type: Item
instance of: scholarly article
title: The generalization of the Poisson sum formula associated with the linear canonical transform
zbMATH Open document ID: 1264.42001
DOI: 10.1155/2012/102039
author: Jun Fang Zhang
author: Shou-Ping Hou
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The generalization of the classical Poisson sum formula, by replacing the ordinary Fourier transform by the canonical transformation, has been derived in the linear canonical transform sense. Firstly, a new sum formula of Chirp-periodic property has been introduced, and then the relationship between this new sum and the original signal is derived. Secondly, the generalization of the classical Poisson sum formula to the linear canonical transform sense has been obtained.
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 6169834
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/102039
OpenAlex ID: W2059407432
Wikidata QID: Q58905687
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description: scientific article; zbMATH DE number 6169834