On sampling in shift invariant spaces

DOI10.1109/TIT.2002.802646zbMath1062.94512MaRDI QIDQ4677604

Wen Chen, Shuichi Itoh, Junji Shiki

Publication date: 11 May 2005

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Sampling theory, sample surveys (62D05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (27)

Local sampling set conditions in weighted shift-invariant signal spaces ⋮ Local reconstruction for sampling in shift-invariant spaces ⋮ Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications ⋮ On stability of sampling-reconstruction models ⋮ SAMPLING AND OVERSAMPLING IN SHIFT-INVARIANT AND MULTIRESOLUTION SPACES I: VALIDATION OF SAMPLING SCHEMES ⋮ Perturbed sampling formulas and local reconstruction in shift invariant spaces ⋮ Nonuniform sampling theorem for non-decaying signals in mixed-norm spaces \(L_{\overrightarrow{p},\frac{1}{\omega}}(\mathbb{R}^d)\) ⋮ SAMPLING EXPANSION IN SHIFT INVARIANT SPACES ⋮ Regular and irregular sampling theorem for multiwavelet subspaces ⋮ On the aliasing error in a class of bidimensional wavelet subspaces ⋮ IRREGULAR SAMPLING IN SHIFT INVARIANT SPACES OF HIGHER DIMENSIONS ⋮ Measuring translation shiftability of frames ⋮ AN ANALYSIS METHOD FOR SAMPLING IN SHIFT-INVARIANT SPACES ⋮ Sampling Formulas Involving Differences in Shift-Invariant Subspaces: A Unified Approach ⋮ Sampling based on timing: time encoding machines on shift-invariant subspaces ⋮ Weighted sampling and reconstruction in weighted reproducing kernel spaces ⋮ Random sampling in shift invariant spaces ⋮ Regular multivariate sampling and approximation in \(L^p\) shift-invariant spaces ⋮ Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces ⋮ On the aliasing error in wavelet subspaces ⋮ Dual frames in \(L^2(0,1)\) connected with generalized sampling in shift-invariant spaces ⋮ Using a natural deconvolution for analysis of perturbed integer sampling in shift-invariant spaces ⋮ On relating interpolatory wavelets to interpolatory scaling functions in multiresolution analyses ⋮ Sampling and Approximation in Shift Invariant Subspaces of $$L_2(\mathbb {R})$$ ⋮ Interpolatory filter banks and interpolatory wavelet packets ⋮ General A-P iterative algorithm in shift-invariant spaces ⋮ Perturbation theorems for regular sampling in wavelet subspaces

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