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On uncertainty principle for quaternionic linear canonical transform
Kou K.I.1; Ou J.-Y.1; Morais J.2
2013
Source PublicationAbstract and Applied Analysis
ISSN10853375
Volume2013
Abstract

We generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we establish an uncertainty principle for the QLCT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains. It is shown that only a 2D Gaussian signal minimizes the uncertainty. © 2013 Kit Ian Kou et al.

DOI10.1155/2013/725952
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000318763300001
The Source to ArticleScopus
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Cited Times [WOS]:29   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorKou K.I.
Affiliation1.Univ Macau, Fac Sci & Technol, Dept Math, Taipa, Peoples R China
2.Univ Aveiro, Ctr Res & Dev Math & Applicat, Dept Math, Aveiro, Portugal
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Kou K.I.,Ou J.-Y.,Morais J.. On uncertainty principle for quaternionic linear canonical transform[J]. Abstract and Applied Analysis,2013,2013.
APA Kou K.I.,Ou J.-Y.,&Morais J..(2013).On uncertainty principle for quaternionic linear canonical transform.Abstract and Applied Analysis,2013.
MLA Kou K.I.,et al."On uncertainty principle for quaternionic linear canonical transform".Abstract and Applied Analysis 2013(2013).
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