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Avtomatika i Telemekhanika, 2022, Issue 8, Pages 159–168
DOI: https://doi.org/10.31857/S0005231022080098 (Mi at16023) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Intellectual Control Systems, Data Analysis

Adaptive recognition of a Markov binary signal of a linear system based on the Pearson type I distribution

V. A. Bukhaleva, A. A. Skrynnikovbc, V. A. Boldinovc

a Moscow Research Television Institute, Moscow, 105094 Russia
b State Research Institute of Aviation Systems (GosNIIAS), Moscow, 125167 Russia
c Moscow Aviation Institute, Moscow, 125993 Russia
Full-text PDF (190 kB) First page Citations (2)
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DOI: https://doi.org/10.31857/S0005231022080098
Abstract: We consider the problem of finding the distribution law for the output signal of an aperiodic link whose input is acted upon by a random jump signal in the form of a Markov chain with two states. It has been theoretically proved that the probability density of the output signal is described by the Pearson type I distribution; this is experimentally confirmed by the results of mathematical modeling. The results obtained are used to synthesize an adaptive recognition algorithm for unknown transition probabilities in a Markov chain.
Keywords: Pearson type I distribution, random jump structure, Markov binary signal, adaptive algorithm, transition probabilities of Markov chain.
Funding agency Grant number
Russian Science Foundation 22-29-00708
This work was supported by the Russian Science Foundation, project no. 22-29-00708.
Presented by the member of Editorial Board: B. M. Miller

Received: 14.11.2021
Revised: 16.02.2022
Accepted: 31.03.2022
English version:
Automation and Remote Control, 2022, Volume 83, Issue 8, Pages 1278–1287
DOI: https://doi.org/10.1134/S0005117922080094
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Bukhalev, A. A. Skrynnikov, V. A. Boldinov, “Adaptive recognition of a Markov binary signal of a linear system based on the Pearson type I distribution”, Avtomat. i Telemekh., 2022, no. 8, 159–168; Autom. Remote Control, 83:8 (2022), 1278–1287
Citation in format AMSBIB
\Bibitem{BukSkrBol22}
\by V.~A.~Bukhalev, A.~A.~Skrynnikov, V.~A.~Boldinov
\paper Adaptive recognition of a Markov binary signal of a linear system based on the Pearson type I distribution
\jour Avtomat. i Telemekh.
\yr 2022
\issue 8
\pages 159--168
\mathnet{http://mi.mathnet.ru/at16023}
\crossref{https://doi.org/10.31857/S0005231022080098}
\edn{https://elibrary.ru/AHWVVL}
\transl
\jour Autom. Remote Control
\yr 2022
\vol 83
\issue 8
\pages 1278--1287
\crossref{https://doi.org/10.1134/S0005117922080094}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:14
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