Statistical modelling of a 3D random field by using the Kotelnikov–Shannon decomposition

DOI10.1090/S0094-9000-2014-00916-3zbMath1319.60112OpenAlexW2118077126MaRDI QIDQ2923397

K. V. Fedorenko, Zoya O. Vyzhva

Publication date: 15 October 2014

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0094-9000-2014-00916-3

zbMATH Keywords

random fieldsstatistical modelingKotelnikov-Shannon decomposition

Mathematics Subject Classification ID

Random fields (60G60) Monte Carlo methods (65C05)

Cites Work

• 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
• Average Sampling Restoration of Harmonizable Processes
• On the approximation and statistical simulation of isotropic random fields
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