Local sampling set conditions in weighted shift-invariant signal spaces

DOI10.1080/00036811.2010.541448zbMath1259.94038OpenAlexW2052418609WikidataQ58244933 ScholiaQ58244933MaRDI QIDQ2883291

Jun Xian

Publication date: 11 May 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.541448

zbMATH Keywords

shift-invariant spacesampling setlocal reconstructioncontinuous signallocal sampling

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (3)

Periodic Nonuniform Dynamical Sampling in ℓ²(ℤ) and Shift-Invariant Spaces ⋮ Multivariate Dynamical Sampling in ℓ2(ℤd) and Shift-Invariant Spaces ⋮ Dynamical sampling in multiply generated shift-invariant spaces

Cites Work

• Characterization of local sampling sequences for spline subspaces
• Weighted sampling and signal reconstruction in spline subspaces
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Average sampling in spline subspaces
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Local reconstruction for sampling in shift-invariant spaces
• Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Local sampling theorems for spaces generated by splines with arbitrary knots
• On Simple Oversampled A/D Conversion in Shift-Invariant Spaces
• Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
• On sampling in shift invariant spaces
• Reconstruction of functions in spline subspaces from local averages
• Shannon sampling and function reconstruction from point values

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