Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 5
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DOI https://doi.org/10.30898/1684-1719.2020.5.1

UDC 621.396:621.391

Symmetry implementation in the problem of identification-estimation of the parameters of motion of a maneuvering target

 

Yu. G. Bulychev 1, A. V. Eliseev 2, A. V. Materschev 3, I. S. Seleznev 4

1 JSC “All-Russian Scientific Research Institute “Gradient””, Sokolova prosp., 96, Rostov-on-Don 344000, Russia

2JSC “Taganrog Scientific Research Institute of Communications”, Sedova str., 3, Taganrog 347900, Russia

3 Military unit 48514, Atamanskaya str., 36, Novocherkassk 346400, Russia

4 JSC “Scientific design bureau of computer systems”, 1-ya liniya str., 144a, Taganrog 347936, Russia

 

The paper is received on April 15, 2020

 

Abstract. The problem of multilattice tracking of stochastic target, moving in a complex split path, is solved with the help of continuous transformation groups and their appropriate symmetry properties and with appropriate evolutionary equation for chosen sufficient statistic (decision function). Possibility of split movement model lattice identification and its parameterization on the basis of nonlinear Markov-grouped small dimension filtration algorithm is shown.

Key words: local one-parameter continuous transformation group, group invariants, posteriori probability density, decision function, evolutionary equation, Markov-grouped movement model, identification-estimation algorithm.

References

1. Stratonovich R.L. Toward a theory of optimal nonlinear filtration of random functions. Teoriya veroyatnostei i åå primenenie - Theory of Probability and its Applications, 1959. Vol. 4. No. 2. P. 239-242. (In Russian)

2. Tikhonov V.I., Kul’man N.K. Nelineinaya fil’tratziya i kvazikogerentnyi priem signalov. [Nonlinear filtration and partially coherent reception of signals]. Moscow, Sov. Radio Publ. 1975. 704 p. (In Russian)

3. Yarlykov M.S. Primenenie markovskoi teorii nelineinoi fil’tratzii v radiotekhnike. [Application of nonlinear filtration Markov theory in radio engineering]. Moscow, Sov. Radio Publ. 1980. 360 p. (In Russian)

4. Sosulin Yu.G. Teoriya obnaruzheniya i otzenivaniya stokhasticheskikh signalov. [Theory of detection and estimation of stochastic signals]. Moscow, Sov. Radio Publ. 1978. (In Russian)

5. Pugachev V.S., Sinitzyn I.N. Stokhasticheskie differentzial’nye sistemy. [Stochastic differential systems]. Moscow, Nauka Publ. 1985. (In Russian)

6. Kremer I.Ya, editor. Prostranstvenno-vremennaya obrabotka signalov. [Space-time signal processing]. Moscow, Radio i Svyaz’ Publ. 1984. (In Russian)

7. Fal’kovich S.E., Khomyakov E.N. Statisticheskaya teoriya izmeritel’nykh radiosistem [Statistical theory of measurement radiosystems]. Moscow, Radio i Svyaz’ Publ. 1981. (In Russian)

8. Gikhman I.I., Skorokhod A.V. Vvedenie v teoriyu sluchainykhprotzessov. [An introduction to the theory of random processes]. Moscow, Nauka Publ. 1977. (In Russian)

9. Tikhonov V.I., Kharisov V.N. Optimal reception of discrete signals with fortuitous delay. Radiotekhnika i elektronika – Journal of Communication Technology and Electronics. 1980. Vol. 25. No. 3. P. 530-539. (In Russian)

10. Tikhonov V.I., Kharisov V.N. Optimal reception of discrete signals and bit synchronization. Radiotekhnika i elektronika – Journal of Communication Technology and Electronics. 1980. Vol. 25. No. 3. P. 540-551. (In Russian)

11. Ovsyannikov L.V. Lektzii po teorii gruppovykh svoistv differenzial’nykh uravnenii. [Lectures on theory of group properties of differential equations]. Novosibirsk, Novosibirsk University Publ. 1966. (In Russian)

12. Bulychev Yu.G., Manin A.P. Matematicheskie aspekty opredeleniya dvizheniya letatel'nyh apparatov. [Mathematical aspects of determining aircrafts’ movement]. Moscow, Mashinostroenie Publ. 2000. 256 p. (In Russian)

13. Bulychev Yu.G., Burlai I.V. A system approach to modeling stochastic objects with invariants. Automation and Remote Control. 2001. Vol. 62. No. 12. P. 1939-1946.

14. Bulychev Yu.G., Bulychev V. Yu., Parkhomenko N.G. On the extension of nonlinear filtration theory applicability in problems of target motion parameter estimation. Vestnik KGTU im. A.N. Tupoleva – Bulletin of A.N.Tupolev Kazan State Technical University. 2011. No. 4. P. 95-104. (In Russian)

15. Bulychev Yu.G., Pogonyshev S.A. Nonparametric estimation of posteriori distributions in nonlinear filtration problem. Avtomatika i telemekhanika - Automation and Remote Control. 1990. No. 11. P. 84-96. (In Russian)

16. Bulychev Yu.G., Pogonyshev S.A. Digital simulation methods of stochastic evolutionary differential equations in discrete bases. Zhurnal vychislitel’noi matematiki i matematicheskoi fiziki - Computational Mathematics and Mathematical Physics. 1990. Vol. 29. No. 18. P. 1170-1179. (In Russian)

17. Bulychev Yu.G., Pogonyshev S.A. Simulation of evolutionary stochastic equations in discrete bases. Zhurnal vychislitel’noi matematiki i matematicheskoi fiziki - Computational Mathematics and Mathematical Physics. 1991. Vol. 31. No. 3. P. 381-387. (In Russian)

18. Bulychev Yu.G., Pogonyshev S.A. Method of statistical synthesis and analysis of simultaneous detection and estimation systems in discrete-orthogonal bases. Avtomatika i telemekhanika - Automation and Remote Control. 1992. No. 5. P. 52-63. (In Russian)

19. Bulychev Yu.G., Bulychev V.Yu., Ivakina S.S., Nasenkov I.G. Classification of passive location invariants and their use. - Journal of Computer and Systems Sciences International, 2015. Vol. 54. No.6, pp. 905-915.

20. Shloma A.M., Frolov S.M., Preobrazhenskii L.A. Adaptive filtration of parameters of path curves. Zhurnal Izvestiya óysshikh uchebnykh zavedenii. Radioelektronika - Journal of the Russian Universities: Radioelectronics, 1986. No. 12, pp. 56-60. (In Russian)

 

For citation:

Bulychev Yu.G., Eliseev A.V., Materschev A.V., Seleznev I.S. Symmetry implementation in the problem of identification-estimation of the parameters of motion of a maneuvering target. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No. 5. Available at http://jre.cplire.ru/jre/may20/1/text.pdf.  https://doi.org/DOI 10.30898/1684-1719.2020.5.1