UM
Residential Collegefalse
Status已發表Published
Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces
Pei Dang1; Tao Qian2; Yan Yang3
2016-05-15
Source PublicationJournal of Mathematical Analysis and Applications
ISSN10960813 0022247X
Volume437Issue:2Pages:912-940
Abstract

This paper devotes to studying uncertainty principles of Heisenberg type for signals defined on R taking values in a Clifford algebra. For real-para-vector-valued signals possessing all first-order partial derivatives we obtain two uncertainty principles of which both correspond to the strongest form of the Heisenberg type uncertainty principles for the one-dimensional space. The lower-bounds of the new uncertainty principles are in terms of a scalar-valued phase derivative. Through Hardy spaces decomposition we also obtain two forms of uncertainty principles for real-valued signals of finite energy with the first order Sobolev type smoothness.

KeywordAmplitude Derivative Hilbert Transform Phase Derivative Signals In Euclidean Spaces Uncertainty Principle
DOI10.1016/j.jmaa.2016.01.039
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000370312500010
Scopus ID2-s2.0-84957700087
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Faculty of Information Technology, Macau University of Science and Technology, Macao
2.Department of Mathematics, University of Macau, Macao
3.School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Pei Dang,Tao Qian,Yan Yang. Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces[J]. Journal of Mathematical Analysis and Applications, 2016, 437(2), 912-940.
APA Pei Dang., Tao Qian., & Yan Yang (2016). Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces. Journal of Mathematical Analysis and Applications, 437(2), 912-940.
MLA Pei Dang,et al."Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces".Journal of Mathematical Analysis and Applications 437.2(2016):912-940.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Pei Dang]'s Articles
[Tao Qian]'s Articles
[Yan Yang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Pei Dang]'s Articles
[Tao Qian]'s Articles
[Yan Yang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Pei Dang]'s Articles
[Tao Qian]'s Articles
[Yan Yang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.