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Avtomatika i Telemekhanika, 2021, Issue 12, Pages 8–47
DOI: https://doi.org/10.31857/S0005231021120035 (Mi at15735) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Surveys

On estimation errors in optical communication and location

O. V. Chernoyarovabc, S. Dachianbd, Yu. A. Kutoyantseb, A. V. Zyulkovf

a National Research University “Moscow Power Engineering Institute,” Moscow, 111250 Russia
b Tomsk State University, Tomsk, 634050 Russia
c Maikop State Technological University, Maikop, 385000 Russia
d Université de Lille, Lille, 59000 France
e Le Mans Université, Le Mans, 72085 France
f Voronezh State University, Voronezh, 394018 Russia
Full-text PDF (1229 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231021120035
Abstract: We consider several problems of parameter estimation based on observations of inhomogeneous Poisson processes arising in various practical applications of optical communication and location. The intensity function of the observed process consists of a periodic signal depending on an unknown parameter and a constant noise intensity. The asymptotic behavior of maximum likelihood and Bayesian estimators in cases of phase and frequency modulation of signals is described. Particular attention is paid to signals of various regularity (smooth, continuous but nondifferentiable, and of change-point type). Numerical simulations illustrate the results presented. This paper is a survey of results on the behavior of estimators in cases of frequency and phase modulation of signals of various regularity.
Keywords: parameter estimation, inhomogeneous Poisson process, phase and frequency modulation, maximum likelihood and Bayesian estimators, asymptotic property.
Funding agency Grant number
Russian Foundation for Basic Research 20-11-50024
This work was supported by the Russian Foundation for Basic Research, project no. 20-11-50024.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 16.06.2021
Revised: 01.07.2021
Accepted: 05.08.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 12, Pages 2041–2075
DOI: https://doi.org/10.1134/S0005117921120018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Chernoyarov, S. Dachian, Yu. A. Kutoyants, A. V. Zyulkov, “On estimation errors in optical communication and location”, Avtomat. i Telemekh., 2021, no. 12, 8–47; Autom. Remote Control, 82:12 (2021), 2041–2075
Citation in format AMSBIB
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\paper On estimation errors in optical communication and location
\jour Avtomat. i Telemekh.
\yr 2021
\issue 12
\pages 8--47
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\crossref{https://doi.org/10.31857/S0005231021120035}
\transl
\jour Autom. Remote Control
\yr 2021
\vol 82
\issue 12
\pages 2041--2075
\crossref{https://doi.org/10.1134/S0005117921120018}
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Linking options:
  • https://www.mathnet.ru/eng/at15735
  • https://www.mathnet.ru/eng/at/y2021/i12/p8
    • This publication is cited in the following 2 articles:
    1. O.V. Chernoyarov, S. Dachian, Yu.A. Kutoyants, “On misspecification in cusp-type change-point models”, Journal of Statistical Planning and Inference, 239 (2025), 106290  crossref
    2. Oleg Chernoyarov, Alexander Zakharov, Larisa Korableva, Kaung Myat San, Lecture Notes in Networks and Systems, 722, Software Engineering Research in System Science, 2023, 248  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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