Non-uniform random sampling and reconstruction in signal spaces with finite rate of innovation

DOI10.1007/s10440-019-00298-6zbMath1462.94023OpenAlexW2987762390WikidataQ126825506 ScholiaQ126825506MaRDI QIDQ2023045

Jun Xian, Yancheng Lu

Publication date: 3 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-019-00298-6

zbMATH Keywords

random samplingreconstruction algorithmnon-uniform samplingnon-uniform distributionspaces with finite rate of innovation

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Inequalities; stochastic orderings (60E15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (8)

Random sampling and reconstruction in reproducing kernel subspace of mixed Lebesgue spaces ⋮ Sampling and reconstruction of concentrated reproducing kernel signals in mixed Lebesgue spaces ⋮ Sampling and reconstruction of signals in a reproducing kernel space with mixed norm ⋮ Random sampling in multi-window quasi shift-invariant spaces ⋮ Convolution random sampling in multiply generated shift-invariant spaces of \(L^p(\mathbb{R}^d)\) ⋮ Random sampling in multiply generated shift-invariant subspaces of mixed Lebesgue spaces \(L^{p,q}(\mathbb{R}\times\mathbb{R}^d)\) ⋮ Unnamed Item ⋮ Random sampling and reconstruction of concentrated signals in a reproducing kernel space

Cites Work

• Unnamed Item
• Relevant sampling in finitely generated shift-invariant spaces
• User-friendly tail bounds for sums of random matrices
• Frames in spaces with finite rate of innovation
• Characterization of local sampling sequences for spline subspaces
• Reconstructing signals with finite rate of innovation from noisy samples
• Smoothness and dimension reduction in quasi-Monte Carlo methods
• Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
• Smart sampling and incremental function learning for very large high dimensional data
• A linear algorithm for the random sampling from regular languages
• Quantifying invariance properties of shift-invariant spaces
• Relevant sampling of band-limited functions
• Centered $L_2$-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Local sampling theorems for spaces generated by splines with arbitrary knots
• Wiener’s lemma for infinite matrices
• Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
• Fast Local Reconstruction Methods for Nonuniform Sampling in Shift-Invariant Spaces
• Ellipse Fitting Using the Finite Rate of Innovation Sampling Principle
• Sampling and Exact Reconstruction of Pulses with Variable Width
• Finite-Rate-of-Innovation-Sampling-Based Super-Resolution Radar Imaging
• Reconstruction from convolution random sampling in local shift invariant spaces
• Sampling signals with finite rate of innovation
• Random sampling and reconstruction in multiply generated shift-invariant spaces

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