Regular and irregular sampling theorem for multiwavelet subspaces
type: Item
instance of: scholarly article
title: Regular and irregular sampling theorem for multiwavelet subspaces
zbMATH Open document ID: 1195.94043
DOI: 10.1155/2010/757039
author: Liu Zhanwei
author: Hu Guoen
author: Wu Guochang
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/230040
review text: Summary: We study the sampling theorem for frames in multiwavelet subspaces. Firstly, a sufficient condition under which the regular sampling theorem holds is established. Then, notice that irregular sampling is also useful in practice; we consider the general cases of the irregular sampling and establish a general irregular sampling theorem for multiwavelet subspaces. Finally, using this generalized irregular sampling theorem, we obtain an estimate for the perturbations of regular sampling in shift-invariant spaces.
Mathematics Subject Classification ID: 94A20
zbMATH DE Number: 5793792
Wikidata QID: Q58653324
MaRDI profile type: Publication
OpenAlex ID: W1979463586
cites work: A sampling theorem for wavelet subspaces
cites work: On sampling in shift invariant spaces
cites work: On sampling theorem, wavelets, and wavelet transforms
cites work: The Zak transform and sampling theorems for wavelet subspaces
cites work: Irregular sampling for spline wavelet subspaces
cites work: Fractal functions and wavelet expansions based on several scaling functions
cites work: Interpolating multiwavelet bases and the sampling theorem
cites work: Sampling theorem for multiwavelet subspaces
cites work: Interpolatory orthogonal multiwavelets and refinable functions
cites work: Sampling theorem and irregular sampling theorem for multiwavelet subspaces
cites work: Q4542944
cites work: An introduction to frames and Riesz bases
cites work: Q4340161
cites work: Sampling theorem for wavelet subspaces: Error estimate and irregular sampling
cites work: On the sampling theorem for wavelet subspaces
cites work: Q5451869
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description: scientific article; zbMATH DE number 5793792