Periodic Nonuniform Dynamical Sampling in ℓ2(ℤ) and Shift-Invariant Spaces. (4th March 2017)

• Record Type: Journal Article
• Authors: Zhang, Qingyue; Li, Rui; Liu, Bei
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 3(2017)
• Page Start: 395
• Page End: 407
• Publication Date: 2017-03-04
• Subjects: Dynamical sampling -- periodic nonuniform sampling -- shift-invariant spaces -- Wiener amalgam space; 94A20 -- 94A12 -- 42C15 -- 41A58; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1248565
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article, we mainly study the periodic nonuniform dynamical sampling in ℓ 2 ( ℤ ) and shift-invariant spaces. We first provide a sufficient and necessary condition for c ∈ ℓ 2 ( ℤ ) which can be reconstructed by its spatial and temporal samples. Then we give a concrete example to show that the sufficient and necessary condition is feasible. Finally, we discuss the periodic nonuniform dynamic sampling problem in shift-invariant spaces.