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Adaptive Fourier decompositions and rational approximations, part I: Theory
Qian T.
2014-09-14
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN02196913
Volume12Issue:5
Abstract

In this paper, we will give a survey on adaptive Fourier decompositions (AFDs) in one- and multi-dimensions. Theoretical formulations of three different types of AFDs in one-dimension, viz., Core AFD, Cyclic AFD in conjunction with best rational approximation and Unwending AFD are provided.

KeywordAdaptive Fourier Decomposition Blaschke Form Digital Signal Processing Hardy Space Mono-component Möbius Transform Rational Approximation Rational Orthogonal System Time-frequency Distribution Uncertainty Principle
DOIhttps://doi.org/10.1142/S0219691314610086
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000342162900009
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Cited Times [WOS]:8   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
AffiliationDepartment of Mathematics, University of Macau, Macao (Via Hong Kong), P. R. China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Qian T.. Adaptive Fourier decompositions and rational approximations, part I: Theory[J]. International Journal of Wavelets, Multiresolution and Information Processing,2014,12(5).
APA Qian T..(2014).Adaptive Fourier decompositions and rational approximations, part I: Theory.International Journal of Wavelets, Multiresolution and Information Processing,12(5).
MLA Qian T.."Adaptive Fourier decompositions and rational approximations, part I: Theory".International Journal of Wavelets, Multiresolution and Information Processing 12.5(2014).
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