Sampling and reconstruction in shift-invariant spaces on \(\mathbb R^d\)

DOI10.1007/s10231-014-0439-xzbMath1368.42036OpenAlexW2149220320MaRDI QIDQ893370

N. E. Zubov

Publication date: 19 November 2015

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-014-0439-x

zbMATH Keywords

Riesz basisshift-invariant spaceframesWiener amalgam spaceZak transformLaurent operator

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Harmonic analysis in several variables (42B99) Sampling theory in information and communication theory (94A20)

Related Items (11)

Zeros of self-inversive polynomials with an application to sampling theory ⋮ Sampling and Average Sampling in Quasi Shift-Invariant Spaces ⋮ Invertibility of Laurent operators and shift invariant spaces with finitely many generators ⋮ Sampling and Reconstruction in a Shift Invariant Space with Multiple Generators ⋮ An optimal result for sampling density in shift-invariant spaces generated by Meyer scaling function ⋮ Sampling and reconstruction in shift invariant spaces of B-spline functions ⋮ Riesz bases associated with regular representations of semidirect product groups ⋮ Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators ⋮ Three Problems on Exponential Bases ⋮ Perturbation theorems for regular sampling in wavelet subspaces ⋮ Solution of an infinite band matrix equation

Uses Software

• Matlab

Cites Work

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• A sampling theorem for wavelet subspaces
• Sampling procedures in function spaces and asymptotic equivalence with shannon's sampling theory
• Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
• Error estimation for non-uniform sampling in shift invariant space

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