Reconstruction and Error Analysis Based on Multiple Sampling Functionals over Mixed Lebesgue Spaces
Signal sampling issue has been extensively studied based on a single sampling functional over classical Lebesgue spaces. This paper focuses on discussing the signal reconstruction and error analysis based on multiple sampling functionals over mixed Lebesgue spaces. We firstly explore the stabilities...
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Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2023-03, Vol.46 (2), Article 67 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Signal sampling issue has been extensively studied based on a single sampling functional over classical Lebesgue spaces. This paper focuses on discussing the signal reconstruction and error analysis based on multiple sampling functionals over mixed Lebesgue spaces. We firstly explore the stabilities for two kinds of sampling functionals, respectively. Then the corresponding iterative reconstruction algorithms are established. Finally, the error between the reconstruction signal in the presence of noisy and the original signal
f
is analyzed. |
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ISSN: | 0126-6705 2180-4206 |
DOI: | 10.1007/s40840-023-01462-w |