Estimation of duration of the rectangular optical pulse with unknown background intensity

Andrey P. Trifonov; Aleksandr A. Milogorodskii

doi:10.3103/S0735272716120037

Authors

Andrey P. Trifonov Voronezh State University, Russian Federation
Aleksandr A. Milogorodskii Voronezh State University, Russian Federation

DOI:

https://doi.org/10.3103/S0735272716120037

Keywords:

quasi-likelihood estimate, maximum likelihood asymptotic estimate, scattering of estimates, a priori parametric uncertainty

Abstract

The quasi-likelihood and asymptotically maximum likelihood algorithms of duration estimation have been synthesized and analyzed. The losses in estimation accuracy caused by a priori lack of knowledge of background intensity were also found.

References

SHEREMET’EV, A.G. Statistical Theory of Laser Communications [in Russian]. Moscow: Svyaz’, 1971.

VOLOKHATYUK, V.A.; KOCHETKOV, V.M.; KRASOVSKII, R.R. Optical Detection Problems [in Russian]. Moscow: Sov. Radio, 1971.

GAGLIARDI, ROBERT M.; KARP, SHERMAN. Optical Communications. Wiley, 1976.

VOROB’EV, V.I. Evaluation of coordinates of the optical radiation source with rectangular intensity profile. Optiko-Mekhanicheskaya Promyshlennost, n.4, p.14-16, 1978.

VOROB’EV, V.I. Optical Detection and Ranging for Radio Engineers [in Russian]. Moscow: Radio i Svyaz’, 1983.

OVCHINNIKOVA, T.M.; TRIFONOV, A.P. Detection and estimation of the instant of change of unknown intensity of a Poisson flow. I. Avtomat. i Telemekh., n.1, p.66-76, 1999, http://mi.mathnet.ru/eng/at24.

TRIFONOV, A.P.; MILOGORODSKII, A.A. Estimation of the optical pulse duration with rectangular intensity profile of unknown height. Radioelectron. Commun. Syst., v.59, n.10, p.427-436, 2016. DOI: http://dx.doi.org/10.3103/S0735272716100010.

KULIKOV, E.I.; TRIFONOV, A.P. Parameter Estimation of Signals against the Background of Interferences [in Russian]. Moscow: Sov. Radio, 1978.

BOL’SHAKOV, I.A.; RAKOSHITS, V.S. Applied Theory of Stochastic Flows [in Russian]. Moscow: Sov. Radio, 1978.

MUDROV, V.I.; KUSHKO, V.L. Measurement Processing Methods. Quasi-Likelihood Estimates [in Russian]. Moscow: Radio i Svyaz’, 1983.

STRATONOVICH, R.L. Selected Problems of the Theory of Fluctuations in Radio Engineering [in Russian]. Moscow: Sov. Radio, 1961.

SOSULIN, Y.G. The Theory of Detection and Estimation of Stochastic Signals [in Russian]. Moscow: Sov. Radio, 1978.

TRIFONOV, A.P.; KORCHAGIN, Y.E.; BESPALOVA, M.B. Statistical properties of height and provisions of absolute maximum Markov processes Bachelier type. Vestnik VGU. Ser. Fizika, Matematika, n.4, p.35-43, 2014, http://www.vestnik.vsu.ru/program/view/view.asp?sec=physmath&year=2014&num=04&f_name=2014-04-07.