Average sampling of band-limited stochastic processes

DOI10.1016/j.acha.2013.05.005zbMath1357.60038arXiv1211.6572OpenAlexW2963981536MaRDI QIDQ2252171

Sin Uk Kang, Gilles Faÿ

Publication date: 16 July 2014

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

Full work available at URL: https://arxiv.org/abs/1211.6572

zbMATH Keywords

sampling theoremaverage samplingwide sense stationary stochastic process

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Inference from stochastic processes and spectral analysis (62M15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20)

Related Items

Average sampling theorem for the homogeneous random fields in a reproducing kernel subspace of mixed Lebesgue space, Average sampling and reconstruction of quasi shift-invariant stochastic processes, Average sampling and reconstruction for reproducing kernel stochastic signals, Average Sampling Theorems on Multidimensional Random Signals

Cites Work

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• A basis theory primer.
• Generalized average sampling in shift invariant spaces
• Non-uniform weighted average sampling and reconstruction in shift-invariant and wavelet spaces
• Riesz bases in \(L^{2}(0,1)\) related to sampling in shift-invariant spaces
• Frames and bases. An introductory course
• Average Sampling Restoration of Harmonizable Processes
• Approximation of WKS Sampling Theorem on Random Signals
• Analytic Random Processes
• A Sampling Theorem for Stationary (Wide Sense) Stochastic Processes
• An Average Sampling Theorem for Bandlimited Stochastic Processes
• Reconstruction Algorithms in Irregular Sampling
• On Band Limited Stochastic Processes
• Reconstruction of band-limited signals from local averages
• Approximation of Wide-Sense Stationary Stochastic Processes by Shannon Sampling Series
• Band-limited functions and the sampling theorem
• Sampling theorems and bases in a Hilbert space
• Bounds for truncation error in sampling expansions of band-limited signals
• On the Problem of Interpolation of Random Processes