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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2023-03, Vol.46 (2), Article 67
Hauptverfasser: Wang, Jinru, Yang, Shuting, Zeng, Xiaochen
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
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.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-023-01462-w