Reconstructions for Analytic Signals Based on Greedy Algorithm

In this paper, we utilize greedy algorithm to approximate analytic signals and transfer functions sparsely. Based on reproducing kernels of Hardy space, a redundant dictionary is constructed. The approximating strategy relies on matching pursuit which is an implementation of greedy algorithm. A nume...

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Published inJournal of physics. Conference series Vol. 1948; no. 1; pp. 12054 - 12058
Main Author Shuang, Li
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.06.2021
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ISSN1742-6588
1742-6596
1742-6596
DOI10.1088/1742-6596/1948/1/012054

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Abstract In this paper, we utilize greedy algorithm to approximate analytic signals and transfer functions sparsely. Based on reproducing kernels of Hardy space, a redundant dictionary is constructed. The approximating strategy relies on matching pursuit which is an implementation of greedy algorithm. A numerical example and Python codes are provided to illustrate the idea.
AbstractList In this paper, we utilize greedy algorithm to approximate analytic signals and transfer functions sparsely. Based on reproducing kernels of Hardy space, a redundant dictionary is constructed. The approximating strategy relies on matching pursuit which is an implementation of greedy algorithm. A numerical example and Python codes are provided to illustrate the idea.
Author Shuang, Li
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Cites_doi 10.1002/mma.5837
10.1007/BF02678430
10.1109/TAC.2003.809761
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Axler (JPCS_1948_1_012054bib4) 2015
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Foucart (JPCS_1948_1_012054bib6) 2013
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– volume: 13
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  article-title: Adaptive greedy approximations
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– volume: 48
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StartPage 12054
SubjectTerms Algorithms
Greedy algorithms
Matched pursuit
Physics
Transfer functions
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Title Reconstructions for Analytic Signals Based on Greedy Algorithm
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