Sampling of realizations of the random field formed by the sum of Markov binary processes
- Authors: Goritskiy Y.A.1,2, Kazakov V.A.1,2, Rodriguez D.1,2, Tejeda F.1,2
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Affiliations:
- Moscow Power Institute
- Instituto Politécnico Nacional (IPN)
- Issue: Vol 56, No 1 (2017)
- Pages: 44-51
- Section: Data Processing and Identification
- URL: https://journals.rcsi.science/1064-2307/article/view/219795
- DOI: https://doi.org/10.1134/S1064230717010075
- ID: 219795
Cite item
Abstract
A statistical description of the sampling and reconstruction procedure for the realizations of a random field with jumps and four possible states is given. A realization of such a field is formed by two realizations of binary Markov stochastic processes defined on two coordinate axes. The analysis of the sampling and reconstruction procedure of this field consists of two parts. In the first part, the sampling intervals are chosen based on the given probability of missing a state. In the second part, the points of state change in the realization being reconstructed are estimated, and the variances of these estimates are calculated. These variances characterize the quality of reconstruction. An example illustrating the proposed method is discussed.
About the authors
Yu. A. Goritskiy
Moscow Power Institute; Instituto Politécnico Nacional (IPN)
Author for correspondence.
Email: goritskiy@yandex.ru
Russian Federation, Moscow, 111250; Mexico
V. A. Kazakov
Moscow Power Institute; Instituto Politécnico Nacional (IPN)
Email: goritskiy@yandex.ru
Russian Federation, Moscow, 111250; Mexico
D. Rodriguez
Moscow Power Institute; Instituto Politécnico Nacional (IPN)
Email: goritskiy@yandex.ru
Russian Federation, Moscow, 111250; Mexico
F. Tejeda
Moscow Power Institute; Instituto Politécnico Nacional (IPN)
Email: goritskiy@yandex.ru
Russian Federation, Moscow, 111250; Mexico