A regularized sampling algorithm for reconstructing non-bandlimited signals

DOI10.1016/j.cam.2015.11.032zbMath1382.94035OpenAlexW2225208450MaRDI QIDQ5965354

Weidong Chen

Publication date: 3 March 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.11.032

zbMATH Keywords

regularizationill-posednessnon-bandlimited sampling

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items (1)

Reconstruction of analytic signal in Sobolev space by framelet sampling approximation

Cites Work

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• A Mathematical Theory of Communication
• Shannon-type sampling for multivariate non-bandlimited signals
• Shannon's sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives -- the aliasing error involved by their extensions from bandlimited to non-bandlimited signals
• A sampling theorem for non-bandlimited signals using generalized sinc functions
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• Choosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
• Efficient determination of multiple regularization parameters in a generalized L-curve framework
• III-posed sampling theorems
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• Generalized sampling expansion
• An Efficient Method for an Ill-Posed Problem — Band-Limited Extrapolation by Regularization
• Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization

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