Residential College | false |
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 Publication | Journal of Mathematical Analysis and Applications |
ISSN | 10960813 0022247X |
Volume | 437Issue: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. |
Keyword | Amplitude Derivative Hilbert Transform Phase Derivative Signals In Euclidean Spaces Uncertainty Principle |
DOI | 10.1016/j.jmaa.2016.01.039 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000370312500010 |
Scopus ID | 2-s2.0-84957700087 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | University of Macau |
Affiliation | 1.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 Affilication | University 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. |
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