Average sampling and reconstruction for signals in shift‐invariant subspaces of weighted mixed Lebesgue spaces. (29th March 2021)

• Record Type: Journal Article
• Authors: Wang, Suping; Zhang, Jiaxing
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 11(2021)
• Page Start: 9507
• Page End: 9523
• Publication Date: 2021-03-29
• Subjects: average sampling -- shift‐invariant subspace -- weighted mixed Lebesgue space; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7374
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we mainly study the average sampling problem for signals in a shift‐invariant subspace of weighted mixed Lebesgue space. First, the sampling stability for two kinds of average sampling functionals is established. Then, two iterative reconstruction algorithms with exponential convergence are presented for recovering the shift‐invariant signals from the corresponding average samples.