Sampling and reconstruction in time-warped spaces and their applications

DOI10.1016/j.amc.2003.08.031zbMath1060.94508OpenAlexW2026269319MaRDI QIDQ1888513

Wei Lin, Jun Xian

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.031

zbMATH Keywords

WaveletIrregular samplingShift-invariant spaceSpline subspaceTime-warped

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Sampling theory in information and communication theory (94A20)

Related Items (5)

Improved sampling and reconstruction in spline subspaces ⋮ Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications ⋮ Local Sampling and Reconstruction in Shift-Invariant Spaces and Their Applications in Spline Subspaces ⋮ General A-P iterative algorithm in shift-invariant spaces ⋮ Convolution sampling and reconstruction of signals in a reproducing kernel subspace

Cites Work

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• Localization of frames, Banach frames, and the invertibility of the frame operator
• Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Reproducing kernel structure and sampling on time-warped spaces with application to warped wavelets
• Irregular sampling for spline wavelet subspaces

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