UM  > 科技學院  > 數學系
Remarks on adaptive fourier decomposition
Qian T.1; Wang Y.2
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing

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
URLView the original
Indexed BySCI
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000316970300007
The Source to ArticleScopus
Fulltext Access
Citation statistics
Cited Times [WOS]:15   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
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).
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Qian T.]'s Articles
[Wang Y.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Qian T.]'s Articles
[Wang Y.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Qian T.]'s Articles
[Wang 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.