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Adaptive Fourier series-a variation of greedy algorithm
Qian T.; Wang Y.-B.
Source PublicationAdvances in Computational Mathematics

We study decomposition of functions in the Hardy space H2(D) into linear combinations of the basic functions (modified Blaschke products) in the system where the points an's in the unit disc D are adaptively chosen in relation to the function to be decomposed. The chosen points an's do not necessarily satisfy the usually assumed hyperbolic non-separability condition, in the traditional studies of the system. Under the proposed procedure functions are decomposed into their intrinsic components of successively increasing non-negative analytic instantaneous frequencies, whilst fast convergence is resumed. The algorithm is considered as a variation and realization of greedy algorithm. 

KeywordAdaptive Decomposition Of Functions Analytic Signal Blaschke Product Complex Hardy Space Greedy Algorithm Instantaneous Frequency Mono-components Rational Orthonormal System
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Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000288212200002
The Source to ArticleScopus
Scopus ID2-s2.0-79952450818
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Cited Times [WOS]:111   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorQian T.
AffiliationUniv Macau, Dept Math, Fac Sci & Technol, Taipa, Peoples R China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Qian T.,Wang Y.-B.. Adaptive Fourier series-a variation of greedy algorithm[J]. Advances in Computational Mathematics,2011,34(3):279.
APA Qian T.,&Wang Y.-B..(2011).Adaptive Fourier series-a variation of greedy algorithm.Advances in Computational Mathematics,34(3),279.
MLA Qian T.,et al."Adaptive Fourier series-a variation of greedy algorithm".Advances in Computational Mathematics 34.3(2011):279.
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