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Tighter Uncertainty Principles Based on Quaternion Fourier Transform
Yan Yang1; Pei Dang2; Tao Qian3
2016-03-01
Source PublicationAdvances in Applied Clifford Algebras
ISSN1661-4909
Volume26Issue:1Pages:479-497
Abstract

The quaternion Fourier transform (QFT) and its properties are reviewed in this paper. Under the polar coordinate form for quaternion-valued signals, we strengthen the stronger uncertainty principles in terms of covariance for quaternion-valued signals based on the right-sided quaternion Fourier transform in both the directional and the spatial cases. We also obtain the conditions that give rise to the equal relations of two uncertainty principles. Examples are given to verify the results.

KeywordCovariance Quaternion Fourier Transform Uncertainty Principle
DOI10.1007/s00006-015-0579-0
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000370339300029
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Cited Times [WOS]:14   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.School of Mathematics and Computational Science Sun Yat-Sen University Guangzhou China
2.Faculty of Information Technology Macau University of Science and Technology Macao China
3.Department of Mathematics University of Macau Macao China
Recommended Citation
GB/T 7714
Yan Yang,Pei Dang,Tao Qian. Tighter Uncertainty Principles Based on Quaternion Fourier Transform[J]. Advances in Applied Clifford Algebras,2016,26(1):479-497.
APA Yan Yang,Pei Dang,&Tao Qian.(2016).Tighter Uncertainty Principles Based on Quaternion Fourier Transform.Advances in Applied Clifford Algebras,26(1),479-497.
MLA Yan Yang,et al."Tighter Uncertainty Principles Based on Quaternion Fourier Transform".Advances in Applied Clifford Algebras 26.1(2016):479-497.
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