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Author:

Wang, Jinru (Wang, Jinru.) | Yang, Shuting (Yang, Shuting.) | Zeng, Xiaochen (Zeng, Xiaochen.)

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Average sampling Reconstruction algorithm Random noise Mixed Lebesgue space Stability Error analysis

Author Community:

  • [ 1 ] [Wang, Jinru]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China
  • [ 2 ] [Yang, Shuting]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China
  • [ 3 ] [Zeng, Xiaochen]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zeng, Xiaochen]Beijing Univ Technol, Fac Sci, Dept Math, Beijing 100124, Peoples R China;;

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Source :

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY

ISSN: 0126-6705

Year: 2023

Issue: 2

Volume: 46

1 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:9

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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