Average sampling in \(L^2\)

DOI10.1016/j.crma.2009.07.011zbMath1170.94319OpenAlexW2074770731MaRDI QIDQ841277

Qiyu Sun, Wai-Shing Tang, M. Zuhair Nashed

Publication date: 15 September 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.07.011

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (8)

Random average sampling in a reproducing kernel subspace of mixed Lebesgue space \(L^{p,q}(\mathbb{R}^{n+1})\) ⋮ Multi-variate Hardy-type lattice point summation and Shannon-type sampling ⋮ 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 ⋮ Regular multivariate sampling and approximation in \(L^p\) shift-invariant spaces ⋮ Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\) ⋮ Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces ⋮ Sampling and Approximation in Shift Invariant Subspaces of $$L_2(\mathbb {R})$$

Cites Work

• Unnamed Item
• Convolution, average sampling, and a Calderon resolution of the identity for shift-invariant spaces
• Reconstructing signals with finite rate of innovation from noisy samples
• Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• Nonuniform Average Sampling and Reconstruction of Signals with Finite Rate of Innovation
• Sampling-50 years after Shannon
• Sampling signals with finite rate of innovation

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