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On Estimation Errors in Optical Communication and Location

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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.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-11-50024.

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Authors and Affiliations

  1. National Research University “Moscow Power Engineering Institute”, Moscow, 111250, Russia

    O. V. Chernoyarov

  2. Tomsk State University, Tomsk, 634050, Russia

    O. V. Chernoyarov, S. Dachian & Yu. A. Kutoyants

  3. Maikop State Technological University, Maikop, 385000, Russia

    O. V. Chernoyarov

  4. Université de Lille, Lille, 59000, France

    S. Dachian

  5. Le Mans Université, Le Mans, 72085, France

    Yu. A. Kutoyants

  6. Voronezh State University, Voronezh, 394018, Russia

    A. V. Zyulkov

Authors
  1. O. V. Chernoyarov
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  2. S. Dachian
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  3. Yu. A. Kutoyants
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  4. A. V. Zyulkov
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Correspondence to O. V. Chernoyarov, S. Dachian, Yu. A. Kutoyants or A. V. Zyulkov.

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Translated by V. Potapchouck

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Chernoyarov, O.V., Dachian, S., Kutoyants, Y.A. et al. On Estimation Errors in Optical Communication and Location. Autom Remote Control 82, 2041–2075 (2021). https://doi.org/10.1134/S0005117921120018

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  • DOI: https://doi.org/10.1134/S0005117921120018

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