AN ANALYSIS METHOD FOR SAMPLING IN SHIFT-INVARIANT SPACES

DOI10.1142/S0219691305000877zbMath1075.42013MaRDI QIDQ5704735

Niklas Grip, Stefan Ericsson

Publication date: 15 November 2005

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

interpolationshift-invariant spacebiorthogonal waveletsreproducing kernel Hilbert spaceirregular samplingregular sampling\(B\)-spline wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15) Spline approximation (41A15) Approximation by other special function classes (41A30) Sampling theory in information and communication theory (94A20)

Related Items (9)

Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications ⋮ Generalized sampling in shift invariant spaces with frames ⋮ GENERALIZED IRREGULAR SAMPLING IN SHIFT-INVARIANT SPACES ⋮ IRREGULAR SAMPLING IN SHIFT INVARIANT SPACES OF HIGHER DIMENSIONS ⋮ Using a natural deconvolution for analysis of perturbed integer sampling in shift-invariant spaces ⋮ A discrete model for the efficient analysis of time-varying narrowband communication channels ⋮ Multivariate generalized sampling in shift-invariant spaces and its approximation properties ⋮ General A-P iterative algorithm in shift-invariant spaces ⋮ Perturbation theorems for regular sampling in wavelet subspaces

Cites Work

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• On the sampling theorem for wavelet subspaces
• Irregular sampling in wavelet subspaces
• Remarks on the article ``On the stability of wavelet and Gabor frames (Riesz bases) by J. Zhang
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• A sampling theorem for wavelet subspaces
• Irregular sampling theorems for wavelet subspaces
• On sampling in shift invariant spaces
• The Zak transform and sampling theorems for wavelet subspaces

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