Average Sampling Restoration of Harmonizable Processes

DOI10.1080/03610926.2011.581180zbMath1315.60041arXiv1307.2432OpenAlexW2044002388MaRDI QIDQ2890090

Tibor K. Pogány, Andrew Ya. Olenko

Publication date: 8 June 2012

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

Full work available at URL: https://arxiv.org/abs/1307.2432

zbMATH Keywords

sampling theoremlocal averagesharmonizable stochastic processaverage sampling reconstructiontime shifted sampling

Mathematics Subject Classification ID

General second-order stochastic processes (60G12) Sampling theory in information and communication theory (94A20)

Related Items (5)

Whittaker-Kotel'nikov-Shannon approximation of \(\phi\)-sub-Gaussian random processes ⋮ Statistical modelling of a 3D random field by using the Kotelnikov–Shannon decomposition ⋮ On Generalized Derivative Sampling Series Expansion ⋮ Average sampling of band-limited stochastic processes ⋮ Approximation of homogeneous random field from local averages

Cites Work

• Time shifted aliasing error upper bounds for truncated sampling cardinal series
• Approximation of weak sense stationary stochastic processes from local averages
• Optimal learning of bandlimited functions from localized sampling
• Current developments in time series modelling
• Sampling approximations for non-band-limited harmonizable random signals
• Approximation of signals from local averages
• Analytic Random Processes
• Reconstruction Algorithms in Irregular Sampling
• Reconstruction of band-limited signals from local averages
• Reconstruction of functions in spline subspaces from local averages
• On the Problem of Interpolation of Random Processes
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