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 in:Journal of physics. Conference series Vol. 1948; no. 1; pp. 12054 - 12058
Main Author: Shuang, Li
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.06.2021
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ISSN:1742-6588, 1742-6596
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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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  organization: Computer Engineering Technical College (Artificial Intelligence College) Guangdong Polytechnic of Science and Technology (GDPST) , China
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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
Heuberger (JPCS_1948_1_012054bib1) 2005
Foucart (JPCS_1948_1_012054bib6) 2013
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  article-title: Adaptive greedy approximations
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– volume: 48
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  article-title: Orthonormal rational functions for system identification: numerical aspects
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StartPage 12054
SubjectTerms Algorithms
Greedy algorithms
Matched pursuit
Physics
Transfer functions
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