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Windowed linear canonical transform and its applications
Kou K.-I.; Xu R.-H.
2012
Source PublicationSignal Processing
ISSN01651684
Volume92Issue:1Pages:179-188
Abstract

In this paper, we generalize the windowed Fourier transform to the windowed linear canonical transform by substituting the Fourier transform kernel with the linear canonical transform kernel in the windowed Fourier transform definition. It offers local contents, enjoys high resolution, and eliminates cross terms. Some useful properties of the windowed linear canonical transform are derived. Those include covariance property, orthogonality property and inversion formulas. As applications analogues of the Poisson summation formula, sampling formulas and series expansions are given. © 2011 Elsevier B.V.

KeywordLinear Canonical Transform Poisson Summation Formula Sampling Formula Series Expansions Windowed Fourier Transform
DOI10.1016/j.sigpro.2011.07.002
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000296127700016
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Citation statistics
Cited Times [WOS]:26   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Kou K.-I.,Xu R.-H.. Windowed linear canonical transform and its applications[J]. Signal Processing,2012,92(1):179-188.
APA Kou K.-I.,&Xu R.-H..(2012).Windowed linear canonical transform and its applications.Signal Processing,92(1),179-188.
MLA Kou K.-I.,et al."Windowed linear canonical transform and its applications".Signal Processing 92.1(2012):179-188.
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