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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| Vydáno v: | Journal of physics. Conference series Ročník 1948; číslo 1; s. 12054 - 12058 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
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. |
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| 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 |
| ContentType | Journal Article |
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| DOI | 10.1088/1742-6596/1948/1/012054 |
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| References | Gucht (JPCS_1948_1_012054bib3) 2003; 48 Mallat (JPCS_1948_1_012054bib8) 2009 Davis (JPCS_1948_1_012054bib10) 1994 Majumdar (JPCS_1948_1_012054bib7) 2019 Ljung (JPCS_1948_1_012054bib2) 1999 Nikolski (JPCS_1948_1_012054bib5) 2018 Davis (JPCS_1948_1_012054bib9) 1997; 13 Mi (JPCS_1948_1_012054bib11) 2019; 42 Axler (JPCS_1948_1_012054bib4) 2015 Heuberger (JPCS_1948_1_012054bib1) 2005 Foucart (JPCS_1948_1_012054bib6) 2013 |
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| 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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