UM
Orthonormal bases with nonlinear phases
Qian T.1; Wang R.2; Xu Y.3; Zhang H.3
2010-07-01
Source PublicationAdvances in Computational Mathematics
ISSN1019-7168
Volume33Issue:1Pages:75-95
Abstract

For adaptive representation of nonlinear signals, the bank M of real square integrable functions that have nonlinear phases and nonnegative instantaneous frequencies under the analytic signal method is investigated. A particular class of functions with explicit expressions in M is obtained using recent results on the Bedrosian identity. We then construct orthonormal bases for the Hilbert space of real square integrable functions with the basis functions from M. 

KeywordHardy Spaces Orthonormal Bases The Empirical Mode Decomposition The Hilbert Transform Time-frequency Analysis
DOIhttps://doi.org/10.1007/s10444-009-9120-0
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000277592700004
Fulltext Access
Citation statistics
Cited Times [WOS]:24   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, People’s Republic of China
2.School of Information Science and Engineering, Graduate University of Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
3.Department of Mathematics, Syracuse University, Syracuse, NY 13244, USA
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Qian T.,Wang R.,Xu Y.,et al. Orthonormal bases with nonlinear phases[J]. Advances in Computational Mathematics,2010,33(1):75-95.
APA Qian T.,Wang R.,Xu Y.,&Zhang H..(2010).Orthonormal bases with nonlinear phases.Advances in Computational Mathematics,33(1),75-95.
MLA Qian T.,et al."Orthonormal bases with nonlinear phases".Advances in Computational Mathematics 33.1(2010):75-95.
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
[Qian T.]'s Articles
[Wang R.]'s Articles
[Xu Y.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Qian T.]'s Articles
[Wang R.]'s Articles
[Xu Y.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Qian T.]'s Articles
[Wang R.]'s Articles
[Xu Y.]'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.