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Remarks on adaptive fourier decomposition
Qian T.1; Wang Y.2
2013
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN0219-6913
Volume11Issue:1
Abstract

This is a continuation of the study of adaptive Fourier decomposition (AFD).15 Under a mild condition not in terms of smoothness, a convergence rate is provided. We prove that the selection of the parameters corresponding to Fourier series in the average sense is optimal. We also present the transformation matrices between the adaptive rational orthogonal system and the related sequence of the shifted Cauchy kernels and their derivatives. 

KeywordAdaptive Fourier Series Cauchy Kernel Dictionary Maximal Selection Principle Orthogonal Greedy Algorithm
DOIhttps://doi.org/10.1142/S0219691313500070
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000316970300007
The Source to ArticleScopus
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Cited Times [WOS]:15   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorWang Y.
Affiliation1.Department of Mathematics, Faculty of Science and Technology, University of Macau Taipa, Macau, China
2.Department of Mathematics, Faculty of Mathematics and Computer Science, Wuhan Textile University, Wuhan City, Hubei Province, China
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Qian T.,Wang Y.. Remarks on adaptive fourier decomposition[J]. International Journal of Wavelets, Multiresolution and Information Processing,2013,11(1).
APA Qian T.,&Wang Y..(2013).Remarks on adaptive fourier decomposition.International Journal of Wavelets, Multiresolution and Information Processing,11(1).
MLA Qian T.,et al."Remarks on adaptive fourier decomposition".International Journal of Wavelets, Multiresolution and Information Processing 11.1(2013).
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