Reconstruction from convolution random sampling in local shift invariant spaces

DOI10.1088/1361-6420/ab40f7zbMath1479.94090OpenAlexW2971425604MaRDI QIDQ5210418

Jun Xian, Jinming Wen, Yaxu Li

Publication date: 20 January 2020

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ab40f7

zbMATH Keywords

convolutionreconstruction formulacovering numberrandom sampling

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Best approximation, Chebyshev systems (41A50) General harmonic expansions, frames (42C15) Convolution, factorization for one variable harmonic analysis (42A85) Uniqueness of best approximation (41A52) Sampling theory in information and communication theory (94A20)

Related Items (11)

Random sampling in reproducing kernel spaces with mixed norm ⋮ Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces ⋮ Random sampling and reconstruction in reproducing kernel subspace of mixed Lebesgue spaces ⋮ Sampling and reconstruction of concentrated reproducing kernel signals in mixed Lebesgue spaces ⋮ Random sampling in multi-window quasi shift-invariant spaces ⋮ Convolution random sampling in multiply generated shift-invariant spaces of \(L^p(\mathbb{R}^d)\) ⋮ Unnamed Item ⋮ 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 ⋮ Binary sparse signal recovery with binary matching pursuit ^* ⋮ Random average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue spaces

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