Approximation of homogeneous random field from local averages

DOI10.1080/03610926.2015.1073318zbMath1369.60034OpenAlexW2346921357MaRDI QIDQ4976262

Shuo Zhang, Ying Li, Zhan-jie Song

Publication date: 27 July 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2015.1073318

zbMATH Keywords

sampling theoremaverage samplinglocal averageshomogeneous random field

Mathematics Subject Classification ID

Random fields (60G60) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (3)

Average sampling theorem for the homogeneous random fields in a reproducing kernel subspace of mixed Lebesgue space ⋮ Approximation of Nonhomogeneous Random Field from Local Averages ⋮ Average Sampling Theorems on Multidimensional Random Signals

Cites Work

• Approximation of weak sense stationary stochastic processes from local averages
• Inequalities in Fourier analysis
• Correlation theory of stationary and related random functions. Volume I: Basic results
• Correlation theory of stationary and related random functions. Volume II: Supplementary notes and references
• Approximation of signals from local averages
• Average Sampling Restoration of Harmonizable Processes
• Approximation of WKS Sampling Theorem on Random Signals
• Sampling approximation of continuous functions with multidimensional domain (Corresp.)
• Sampling series approximation of continuous weak sense stationary processes
• Reconstruction Algorithms in Irregular Sampling
• Reconstruction of band-limited signals from local averages
• Random Fields

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