Approximation of weak sense stationary stochastic processes from local averages

DOI10.1007/S11425-007-2083-ZzbMath1122.60039OpenAlexW1674830015MaRDI QIDQ995693

Wen-chang Sun, Guang-wen Zhu, Shou-yuan Yang, Zhan-jie Song

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-2083-z

zbMATH Keywords

sampling theoremaverage samplinglocal averagesweak sense stationary stochastic processes

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) General harmonic expansions, frames (42C15) Sampling theory in information and communication theory (94A20)

Related Items (5)

Average Sampling Restoration of Harmonizable Processes ⋮ Approximation of Nonhomogeneous Random Field from Local Averages ⋮ Approximation of WKS Sampling Theorem on Random Signals ⋮ Approximation of homogeneous random field from local averages ⋮ Sampling and reconstruction for shift-invariant stochastic processes

Cites Work

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• Average sampling theorems for shift invariant subspaces
• On approximation by the interpolating series of G. Valiron
• Errors in truncated sampling series with measured sampled values for non-necessarily bandlimited functions
• Reconstruction of band-limited functions from local averages
• Approximation of signals from local averages
• Sampling series approximation of continuous weak sense stationary processes
• Reconstruction Algorithms in Irregular Sampling
• Reconstruction of band-limited signals from local averages
• Reconstruction of functions in spline subspaces from local averages

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