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This article is cited in 1 scientific paper (total in 1 paper)
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
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.
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
Linking options:
https://www.mathnet.ru/eng/at15735 https://www.mathnet.ru/eng/at/y2021/i12/p8
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Abstract page: | 133 | Full-text PDF : | 1 | References: | 30 | First page: | 21 |
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