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Uncertainty principle for measurable sets and signal recovery in quaternion domains
Kou, Kit Ian1; Yang, Yan2; Zou, Cuiming1
2017-07-30
Source PublicationMATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
Volume40Issue:11Pages:3892-3900
Abstract

The classical uncertainty principle of harmonic analysis states that a nontrivial function and its Fourier transform cannot both be sharply localized. It plays an important role in signal processing and physics. This paper generalizes the uncertainty principle for measurable sets from complex domain to hypercomplex domain using quaternion algebras, associated with the quaternion Fourier transform. The performance is then evaluated in signal recovery problems where there is an interplay of missing and time-limiting data. Copyright (c) 2017 John Wiley & Sons, Ltd.

KeywordSignal Recovery Uncertainty Principle Quaternion Fourier Transform
DOIhttps://doi.org/10.1002/mma.4271
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000403477500004
PublisherWILEY
The Source to ArticleWOS
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被引频次[WOS]:4   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题DEPARTMENT OF MATHEMATICS
Corresponding AuthorYang, Yan
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, China
2.School of Mathematics (Zhuhai), Sun Yat-Sen University, Zhuhai 519080, China
First Author AffilicationFaculty of Science and Technology
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Kou, Kit Ian,Yang, Yan,Zou, Cuiming. Uncertainty principle for measurable sets and signal recovery in quaternion domains[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(11):3892-3900.
APA Kou, Kit Ian,Yang, Yan,&Zou, Cuiming.(2017).Uncertainty principle for measurable sets and signal recovery in quaternion domains.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(11),3892-3900.
MLA Kou, Kit Ian,et al."Uncertainty principle for measurable sets and signal recovery in quaternion domains".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.11(2017):3892-3900.
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