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Greedy adaptive decomposition of signals based on nonlinear Fourier atoms
Kou K.I.1; Li H.2
2016-05-01
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN02196913
Volume14Issue:3
Abstract

This paper aims at adaptive decomposition of signals in terms of nonlinear Fourier atoms. Each nonlinear Fourier atom is analytic and mono-component. The algorithm is considered as an adaptive greedy procedure based on nonlinear Fourier atoms. The convergence results for the proposed algorithms show that it is suitable to approximate a signal by a linear combinations of nonlinear Fourier atoms. Experiments are presented to illustrate the proposed algorithm and theory.

KeywordAnalytic Signal Approximation Greedy Algorithm Nonlinear Fourier Atom
DOI10.1142/S0219691316500144
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000378541200007
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Universidade de Macau
2.Huazhong University of Science and Technology
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Kou K.I.,Li H.. Greedy adaptive decomposition of signals based on nonlinear Fourier atoms[J]. International Journal of Wavelets, Multiresolution and Information Processing,2016,14(3).
APA Kou K.I.,&Li H..(2016).Greedy adaptive decomposition of signals based on nonlinear Fourier atoms.International Journal of Wavelets, Multiresolution and Information Processing,14(3).
MLA Kou K.I.,et al."Greedy adaptive decomposition of signals based on nonlinear Fourier atoms".International Journal of Wavelets, Multiresolution and Information Processing 14.3(2016).
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