Error estimates from noise samples for iterative algorithm in shift-invariant signal spaces

DOI10.1155/2010/214213zbMath1201.94063OpenAlexW1992700568WikidataQ58649774 ScholiaQ58649774MaRDI QIDQ610861

Jun Xian

Publication date: 13 December 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226047

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20) Communication theory (94A05)

Related Items (2)

Average sampling and reconstruction in a reproducing kernel subspace of homogeneous type space ⋮ Convolution sampling and reconstruction of signals in a reproducing kernel subspace

Cites Work

• Weighted sampling and signal reconstruction in spline subspaces
• Average sampling in spline subspaces
• Sampling and reconstruction of signals in a reproducing kernel subspace of \(L^p(\mathbb R^d)\)
• Sampling set conditions in weighted multiply generated shift-invariant spaces and their applications
• Shannon sampling. II: Connections to learning theory
• Sampling theorem for wavelet subspaces: error estimate and irregular sampling
• Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
• An Average Sampling Theorem for Bandlimited Stochastic Processes
• Error Analysis of Frame Reconstruction From Noisy Samples
• Signal Reconstruction Errors in Jittered Sampling
• Shannon sampling and function reconstruction from point values
• Error estimation for non-uniform sampling in shift invariant space
• Estimate of aliasing error for non-smooth signals prefiltered by quasi-projections into shift-invariant spaces

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