Orthonormal bases with nonlinear phases
Qian T.1; Wang R.2; Xu Y.3; Zhang H.3
Source PublicationAdvances in Computational Mathematics

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
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Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000277592700004
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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.
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