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Uncertainty principles for hypercomplex signals in the linear canonical transform domains
Yang Y.1; Ian Kou K.2
2014
Source PublicationSignal Processing
ISSN1651684
Volume95Pages:67
Abstract

Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and fractional Fourier transforms are special cases of LCTs. In this paper, we extend the uncertainty principle for hypercomplex signals in the linear canonical transform domains, giving the tighter lower bound on the product of the effective widths of complex paravector- (multivector-)valued signals in the time and frequency domains. It is seen that this lower bound can be achieved by a Gaussian signal. An example is given to verify the result. © 2013 Published by Elsevier B.V. All rights reserved.

KeywordGaussian Signals Hypercomplex Signals Linear Canonical Transform Uncertainty Principle
DOI10.1016/j.sigpro.2013.08.008
URLView the original
Indexed BySCI
Language英语
WOS Research AreaEngineering
WOS SubjectEngineering, Electrical & Electronic
WOS IDWOS:000326912000009
The Source to ArticleScopus
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Cited Times [WOS]:33   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorIan Kou K.
Affiliation1.Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
2.Univ Macau, Fac Sci & Technol, Dept Math, Taipa, Peoples R China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Yang Y.,Ian Kou K.. Uncertainty principles for hypercomplex signals in the linear canonical transform domains[J]. Signal Processing,2014,95:67.
APA Yang Y.,&Ian Kou K..(2014).Uncertainty principles for hypercomplex signals in the linear canonical transform domains.Signal Processing,95,67.
MLA Yang Y.,et al."Uncertainty principles for hypercomplex signals in the linear canonical transform domains".Signal Processing 95(2014):67.
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