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Uncertainty principles associated with quaternionic linear canonical transforms
Kou K.I.; Ou J.; Morais J.
2016-07-01
Source PublicationMathematical Methods in the Applied Sciences
ISSN10991476 01704214
Volume39Issue:10Pages:2722-2736
Abstract

In the present paper, we generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic LCT (QLCT). Using the properties of the LCT, we establish an uncertainty principle for the two-sided 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 Gaussian quaternionic signal minimizes the uncertainty. Copyright © 2016 John Wiley & Sons, Ltd.

KeywordGaussian Quaternionic Signal Hypercomplex Functions Quantum Mechanics Quaternion Analysis Quaternionic Fourier Transform Quaternionic Linear Canonical Transform Uncertainly Principle
DOI10.1002/mma.3724
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000378726800021
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Cited Times [WOS]:9   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Kou K.I.,Ou J.,Morais J.. Uncertainty principles associated with quaternionic linear canonical transforms[J]. Mathematical Methods in the Applied Sciences,2016,39(10):2722-2736.
APA Kou K.I.,Ou J.,&Morais J..(2016).Uncertainty principles associated with quaternionic linear canonical transforms.Mathematical Methods in the Applied Sciences,39(10),2722-2736.
MLA Kou K.I.,et al."Uncertainty principles associated with quaternionic linear canonical transforms".Mathematical Methods in the Applied Sciences 39.10(2016):2722-2736.
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