Adaptive Fourier decompositions and rational approximations, part I: Theory

doi:10.1142/S0219691314610086

Residential College	false
Status	已發表Published
	Adaptive Fourier decompositions and rational approximations, part I: Theory
	Qian T.
	2014-09-14
Source Publication	International Journal of Wavelets, Multiresolution and Information Processing
ISSN	02196913
Volume	12 Issue: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.
Keyword	Adaptive Fourier Decomposition Blaschke Form Digital Signal Processing Hardy Space Mono-component Möbius Transform Rational Approximation Rational Orthogonal System Time-frequency Distribution Uncertainty Principle
DOI	10.1142/S0219691314610086
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Computer Science ; Mathematics
WOS Subject	Computer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS ID	WOS:000342162900009
Scopus ID	2-s2.0-85027931698
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	University of Macau
Affiliation	Department of Mathematics, University of Macau, Macao (Via Hong Kong), P. R. China
First Author Affilication	University 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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