Random sampling and reconstruction of concentrated signals in a reproducing kernel space
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Publication:2036501
DOI10.1016/j.acha.2021.03.006zbMath1467.94013arXiv2006.09609OpenAlexW3142837581MaRDI QIDQ2036501
Publication date: 29 June 2021
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09609
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods for wavelets (65T60) Sampling theory in information and communication theory (94A20)
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Cites Work
- Unnamed Item
- The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases
- A mathematical introduction to compressive sensing
- On a class of non-uniform average sampling expansions and partial reconstruction in subspaces of \(L _{2}(\mathbb R)\)
- Rate of innovation for (non-)periodic signals and optimal lower stability bound for filtering
- Random sampling of bandlimited functions
- Duration and bandwidth limiting. Prolate functions, sampling, and applications.
- Relevant sampling in finitely generated shift-invariant spaces
- Random sampling in shift invariant spaces
- Wiener's lemma for infinite matrices. II
- Sampling and Galerkin reconstruction in reproducing kernel spaces
- Propriétés des matrices ``bien localisées près de leur diagonale et quelques applications. (Properties of matrices ``well localized near the diagonal and some applications)
- Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
- Random sampling of sparse trigonometric polynomials
- Frames in spaces with finite rate of innovation
- Harmonic analysis on spaces of homogeneous type. With a preface by Yves Meyer
- Foundations of time-frequency analysis
- Polynomial control on stability, inversion and powers of matrices on simple graphs
- Nonuniform average sampling and reconstruction in multiply generated shift-invariant spaces
- Non-uniform random sampling and reconstruction in signal spaces with finite rate of innovation
- Random sampling in reproducing kernel subspaces of \(L^p(\mathbb{R}^n)\)
- Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
- Stable phase retrieval in infinite dimensions
- Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
- Spatially distributed sampling and reconstruction
- Relevant sampling of band-limited functions
- Shannon sampling. II: Connections to learning theory
- Gabor phase retrieval is severely ill-posed
- On the mathematical foundations of learning
- Metric and geometric quasiconformality in Ahlfors regular Loewner spaces
- Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
- Wiener’s lemma for infinite matrices
- Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
- Random sampling with a reservoir
- Iterative Reconstruction of Multivariate Band-Limited Functions from Irregular Sampling Values
- Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The 𝐿^{𝑝}-theory
- Wiener’s lemma for twisted convolution and Gabor frames
- Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang–Fix
- Error Analysis of Frame Reconstruction From Noisy Samples
- Monte Carlo Non-Local Means: Random Sampling for Large-Scale Image Filtering
- Sampling-50 years after Shannon
- Dynamical sampling with additive random noise
- Random Sampling of Multivariate Trigonometric Polynomials
- Shannon sampling and function reconstruction from point values
- Sampling and Average Sampling in Quasi Shift-Invariant Spaces
- On Stable Reconstructions from Nonuniform Fourier Measurements
- Reconstruction from convolution random sampling in local shift invariant spaces
- Capacity-Achieving Guessing Random Additive Noise Decoding
- Sampling signals with finite rate of innovation
- Stable Gabor Phase Retrieval and Spectral Clustering
- Random sampling of random processes: Stationary point processes
- Random sampling and reconstruction of spectra