Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
From MaRDI portal
Publication:2381645
DOI10.1016/j.acha.2006.10.004zbMath1135.42013OpenAlexW2001106854MaRDI QIDQ2381645
Publication date: 18 September 2007
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.acha.2006.10.004
General harmonic expansions, frames (42C15) Algorithms for approximation of functions (65D15) Sampling theory in information and communication theory (94A20)
Related Items (39)
Local sampling set conditions in weighted shift-invariant signal spaces ⋮ Improved sampling and reconstruction in spline subspaces ⋮ An analysis of wavelet frame based scattered data reconstruction ⋮ On stability of sampling-reconstruction models ⋮ Construction of frames for shift-invariant spaces ⋮ Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces ⋮ On the inverse problem and Sobolev estimates of the generalized X-ray transform ⋮ Error estimates from noise samples for iterative algorithm in shift-invariant signal spaces ⋮ The stability estimates of the inverse problem for the weighted Radon transform ⋮ Sampling and Average Sampling in Quasi Shift-Invariant Spaces ⋮ Gabor frames and totally positive functions ⋮ Random sampling and reconstruction in multiply generated shift-invariant spaces ⋮ Quantifying invariance properties of shift-invariant spaces ⋮ Invertibility of Laurent operators and shift invariant spaces with finitely many generators ⋮ Sampling and Reconstruction in a Shift Invariant Space with Multiple Generators ⋮ Reconstruction of splines from nonuniform samples ⋮ Relevant sampling in finitely generated shift-invariant spaces ⋮ Sampling and quasi-optimal approximation for signals in a reproducing kernel space of homogeneous type ⋮ An optimal result for sampling density in shift-invariant spaces generated by Meyer scaling function ⋮ Weighted sampling and reconstruction in weighted reproducing kernel spaces ⋮ Random sampling in shift invariant spaces ⋮ Local Sampling and Reconstruction in Shift-Invariant Spaces and Their Applications in Spline Subspaces ⋮ Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space ⋮ Regular multivariate sampling and approximation in \(L^p\) shift-invariant spaces ⋮ Frames for weighted shift-invariant spaces ⋮ Non-uniform random sampling and reconstruction in signal spaces with finite rate of innovation ⋮ Random sampling and reconstruction of concentrated signals in a reproducing kernel space ⋮ Maximal discrepancy for multiply generated shift-invariant spaces ⋮ Reconstruction from convolution random sampling in local shift invariant spaces ⋮ Shift invariant spaces in \(L^2(\mathbb{R},\mathbb{C}^m)\) with \(m\) generators ⋮ Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces ⋮ Multivariate generalized sampling in shift-invariant spaces and its approximation properties ⋮ Random sampling and approximation of signals with bounded derivatives ⋮ PERTURBATION TECHNIQUES IN IRREGULAR SPLINE-TYPE SPACES ⋮ PERTURBATION TECHNIQUES IN IRREGULAR SPLINE-TYPE SPACES ⋮ General A-P iterative algorithm in shift-invariant spaces ⋮ Convolution sampling and reconstruction of signals in a reproducing kernel subspace ⋮ An improved convergence rate of A-P reconstruction algorithm and application in signal processing ⋮ Sampling and reconstruction for shift-invariant stochastic processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reconstruction of bandlimited signals from irregular samples
- Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
- Weighted sampling and signal reconstruction in spline subspaces
- Efficient numerical methods in non-uniform sampling theory
- Irregular sampling in wavelet subspaces
- Average sampling in spline subspaces
- Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
- Localization of frames, Banach frames, and the invertibility of the frame operator
- Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
- Sampling and reconstruction in time-warped spaces and their applications
- Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces
- Necessary density conditions for sampling an interpolation of certain entire functions
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Generalized Amalgams, With Applications to Fourier Transform
- Ten Lectures on Wavelets
- Reconstruction Algorithms in Irregular Sampling
- Irregular sampling theorems for wavelet subspaces
- On sampling in shift invariant spaces
- Reconstruction of band-limited signals from local averages
- Irregular sampling for spline wavelet subspaces
- AN ANALYSIS METHOD FOR SAMPLING IN SHIFT-INVARIANT SPACES
- \(p\)-frames and shift invariant subspaces of \(L^p\)
This page was built for publication: Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications