Dynamical sampling associated with the special affine Fourier transform
In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special af...
Ausführliche Beschreibung
Autor*in: |
Liu, Bei [verfasserIn] Wu, Zhiping [verfasserIn] Li, Rui [verfasserIn] |
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Format: |
E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Schlagwörter: |
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Übergeordnetes Werk: |
Enthalten in: Optik - München : Elsevier, 2001, 238 |
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Übergeordnetes Werk: |
volume:238 |
DOI / URN: |
10.1016/j.ijleo.2021.166767 |
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Katalog-ID: |
ELV005961173 |
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520 | |a In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. | ||
650 | 4 | |a Dynamical sampling | |
650 | 4 | |a The special affine Fourier transform | |
650 | 4 | |a Sequence spaces | |
650 | 4 | |a Shift-invariant spaces | |
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10.1016/j.ijleo.2021.166767 doi (DE-627)ELV005961173 (ELSEVIER)S0030-4026(21)00477-0 DE-627 ger DE-627 rda eng 620 DE-600 33.18 bkl 33.38 bkl 50.37 bkl 53.54 bkl 53.75 bkl 42.03 bkl Liu, Bei verfasserin aut Dynamical sampling associated with the special affine Fourier transform 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. Dynamical sampling The special affine Fourier transform Sequence spaces Shift-invariant spaces Wu, Zhiping verfasserin aut Li, Rui verfasserin (orcid)0000-0001-5689-1170 aut Enthalten in Optik München : Elsevier, 2001 238 Online-Ressource (DE-627)325791988 (DE-600)2040037-8 (DE-576)094480680 1618-1336 nnns volume:238 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_2522 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 33.18 Optik 33.38 Quantenoptik nichtlineare Optik 50.37 Technische Optik 53.54 Optoelektronik 53.75 Optische Nachrichtentechnik 42.03 Methoden und Techniken der Biologie AR 238 |
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10.1016/j.ijleo.2021.166767 doi (DE-627)ELV005961173 (ELSEVIER)S0030-4026(21)00477-0 DE-627 ger DE-627 rda eng 620 DE-600 33.18 bkl 33.38 bkl 50.37 bkl 53.54 bkl 53.75 bkl 42.03 bkl Liu, Bei verfasserin aut Dynamical sampling associated with the special affine Fourier transform 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. Dynamical sampling The special affine Fourier transform Sequence spaces Shift-invariant spaces Wu, Zhiping verfasserin aut Li, Rui verfasserin (orcid)0000-0001-5689-1170 aut Enthalten in Optik München : Elsevier, 2001 238 Online-Ressource (DE-627)325791988 (DE-600)2040037-8 (DE-576)094480680 1618-1336 nnns volume:238 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_2522 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 33.18 Optik 33.38 Quantenoptik nichtlineare Optik 50.37 Technische Optik 53.54 Optoelektronik 53.75 Optische Nachrichtentechnik 42.03 Methoden und Techniken der Biologie AR 238 |
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10.1016/j.ijleo.2021.166767 doi (DE-627)ELV005961173 (ELSEVIER)S0030-4026(21)00477-0 DE-627 ger DE-627 rda eng 620 DE-600 33.18 bkl 33.38 bkl 50.37 bkl 53.54 bkl 53.75 bkl 42.03 bkl Liu, Bei verfasserin aut Dynamical sampling associated with the special affine Fourier transform 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. Dynamical sampling The special affine Fourier transform Sequence spaces Shift-invariant spaces Wu, Zhiping verfasserin aut Li, Rui verfasserin (orcid)0000-0001-5689-1170 aut Enthalten in Optik München : Elsevier, 2001 238 Online-Ressource (DE-627)325791988 (DE-600)2040037-8 (DE-576)094480680 1618-1336 nnns volume:238 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_2522 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 33.18 Optik 33.38 Quantenoptik nichtlineare Optik 50.37 Technische Optik 53.54 Optoelektronik 53.75 Optische Nachrichtentechnik 42.03 Methoden und Techniken der Biologie AR 238 |
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10.1016/j.ijleo.2021.166767 doi (DE-627)ELV005961173 (ELSEVIER)S0030-4026(21)00477-0 DE-627 ger DE-627 rda eng 620 DE-600 33.18 bkl 33.38 bkl 50.37 bkl 53.54 bkl 53.75 bkl 42.03 bkl Liu, Bei verfasserin aut Dynamical sampling associated with the special affine Fourier transform 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. Dynamical sampling The special affine Fourier transform Sequence spaces Shift-invariant spaces Wu, Zhiping verfasserin aut Li, Rui verfasserin (orcid)0000-0001-5689-1170 aut Enthalten in Optik München : Elsevier, 2001 238 Online-Ressource (DE-627)325791988 (DE-600)2040037-8 (DE-576)094480680 1618-1336 nnns volume:238 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_2522 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 33.18 Optik 33.38 Quantenoptik nichtlineare Optik 50.37 Technische Optik 53.54 Optoelektronik 53.75 Optische Nachrichtentechnik 42.03 Methoden und Techniken der Biologie AR 238 |
allfieldsSound |
10.1016/j.ijleo.2021.166767 doi (DE-627)ELV005961173 (ELSEVIER)S0030-4026(21)00477-0 DE-627 ger DE-627 rda eng 620 DE-600 33.18 bkl 33.38 bkl 50.37 bkl 53.54 bkl 53.75 bkl 42.03 bkl Liu, Bei verfasserin aut Dynamical sampling associated with the special affine Fourier transform 2021 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. Dynamical sampling The special affine Fourier transform Sequence spaces Shift-invariant spaces Wu, Zhiping verfasserin aut Li, Rui verfasserin (orcid)0000-0001-5689-1170 aut Enthalten in Optik München : Elsevier, 2001 238 Online-Ressource (DE-627)325791988 (DE-600)2040037-8 (DE-576)094480680 1618-1336 nnns volume:238 GBV_USEFLAG_U SYSFLAG_U GBV_ELV GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2025 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2153 GBV_ILN_2336 GBV_ILN_2522 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 33.18 Optik 33.38 Quantenoptik nichtlineare Optik 50.37 Technische Optik 53.54 Optoelektronik 53.75 Optische Nachrichtentechnik 42.03 Methoden und Techniken der Biologie AR 238 |
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Dynamical sampling associated with the special affine Fourier transform |
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In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. |
abstractGer |
In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. |
abstract_unstemmed |
In this paper, we study the dynamical sampling of sequence spaces and shift-invariant spaces in the special affine Fourier transform domains. We present a method for recovering the signals in sequence spaces and shift-invariant spaces from their dynamical sampling values. Moreover, in the special affine Fourier transform domains, we give a characterization for stable reconstruction of signals in sequence spaces and shift-invariant spaces. Finally we give a concrete example to elucidate our main results. Our results extend original ones in the Fractional Fourier transform domains and the Fourier transform domains. |
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|
score |
7.3999405 |