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Article:

# Probability of search object detecting by detection device in their mutual motion in arbitrary paths with changing velocities

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V.M. Artyushenko – Dr. Sc. (Eng.), Professor, Head of Department of Information Technology and Management Systems, Technological University (Korolyov, Moscow region) E-mail: artuschenko@mail.ru V.I. Volovach – Dr. Sc. (Eng.), Associate Professor, Head of Department of Information and Electronic Service, Volga Region State University of Service (Togliatti) E-mail: volovach.vi@mail.ru

The article determines the probability of detecting objects of search (unmanned aerial vehicles are taken as an example) by surveillance devices for the case when an object of search and a surveillance device move simultaneously. In this case the motion is regarded as movement along arbitrary paths with changing velocities. We obtained the expression describing nonuniform distribution of probable locations of an object of search for the case when directions of an object are equally probable in the range from 0 to 360°, and its velocity is accurately known and does not change during the process of search. The kinematics of search for mutual motion of an object of search and a surveillance device (detection device) is studied. The case, when direction of object motion is uniformly distributed in a certain sector, is considered. In this case the velocity of the object is not a constant, but a random value, obeying a certain law of distribution. The general case, where an object of search and a detection device moves in complex paths with changing velocities, is considered and analyzed. We obtained the expressions for determining the probability of detecting a search object in discrete and continuous observation of an area in the assumption that search is a random process of Markov type. The properties of the detection flow are determined. It is shown that in the case of continuous observation it is necessary to determine the flow rate of detections, whereas in the case of discrete observation it is necessary to determine elementary probability of detection. We got the expressions for determining the above-mentioned probabilities of detection under the assumption that the values of the elementary probabilities of detection change with time.
References:

1. Demurenko K.A. Drony – novaja ugroza s vysoty // Algoritm bezopasnosti. 2016. № 2. S. 48−50.
2. Zashhitite svoe vozdushnoe prostranstvo ot vtorzhenija dronov. URL: http://www.drone-tracker.ru/.
3. Ivanov I.V. Okhrana perimetrov. M.: Radio i svjaz. 1997. 98 s.
4. Gedzberg JU.M. Okhrannoe televidenie. M.: Gorjachaja linija – Telekom. 2005. 312 s.
5. Garsia M. Proektirovanie i ocenka sistem fizicheskojj zashhity. M.: Mir. 2003. 392 s.
6. Finkelshtejjn M.I. Osnovy radiolokacii. M.: Radio i svjaz. 1983. 536 s.
7. Abchuk V.A., Suzdal V.G. Poisk obektov. M.: Sov. radio. 1977. 336 s.
8. Radiolokacionnye ustrojjstva / Pod red. V.V. Grigorina-Rjabova. M.: Sov. radio. 1970. 680 s.
9. Volovach V.I. Obnaruzhenie protjazhennykh obektov v uslovijakh apriornojj neopredelennosti otnositelno parametrov dvizhenija na fone negaussovskikh pomekh // Radiotekhnika. 2015. № 2. S. 30−38.
10. Artjushenko V.M. Issledovanie i razrabotka radiolokacionnogo izmeritelja parametrov dvizhenija protjazhennykh obektov. M.: FGBOU VPO FTA. 2013. 214 s.
11. Dubrovin K.O., Sitrotin P.A. Vremja prebyvanija celi v rajjone poiska // Morskojj sbornik. 1965. № 6. S. 18−23.
12. Bronshtejjn I.N., Semendiev K.A. Spravochnik po matematike dlja inzhenerov i uchashhikhsja vtuzov. M.: Nauka. 1981. 720 s.
13. Artjushenko V.M., Volovach V.I. Ocenka pogreshnosti izmerenija parametrov dvizhenija protjazhennykh obektov v uslovijakh izmenjajushhejjsja dalnosti // Izvestija VUZov. Ser. Radiotekhnika. 2015. T. 58. № 1(631). S. 26−37.
14. Artjushenko V.M., Volovach V.I. Analiz vlijanija additivnykh negaussovskikh pomekh na tochnost izmerenija parametrov dvizhenija v radiosistemakh blizhnego dejjstvija // Nelinejjnyjj mir. 2015. T. 13. № 1. S. 16−30.
15. Artjushenko V.M., Volovach V.I. Ocenka pogreshnosti izmerenija skorosti dvizhenija v uslovijakh izmenjajushhejjsja dalnosti do lociruemogo obekta // Radiotekhnika. 2016. № 6. S. 118−123.
16. Artjushenko V.M., Volovach V.I., Ivanov V.V. Ocenka pogreshnosti izmerenija mgnovennojj chastoty doplerovskogo signala v porogovom rezhime demoduljacii // Radiotekhnika. 2016. № 2. S. 83−90.
17. Artjushenko V.M., Volovach V.I. Kvazioptimalnaja obrabotka signalov na fone additivnojj i multiplikativnojj negaussovskikh pomekh // Radiotekhnika. 2016. № 1. S. 129−130.
18. Artjushenko V.M., Volovach V.I. Ocenka pogreshnosti izmerenija vektornogo informacionnogo parametra signala na fone multiplikativnykh pomekh // Radiotekhnika. 2016. № 2. S. 72−82.
19. Levin B.R. Teoreticheskie osnovy staticheskojj radiotekhniki. M.: Sov. radio. 1989. 656 s.
20. Volovach V.I., Artjushenko V.M., Budilov V.N. Opredelenie ehffektivnosti obnaruzhenija obektov radiotekhnicheskimi ustrojjstvami blizhnego dejjstvija // Radiotekhnika. 2015. № 2. S. 52−53.
21. Volovach V.I., Artyushenko V.M., Budilov V.N., Shakurskiy M.V. The estimation of accumulating detection probability of objects with the help of short range wireless devices // Contemporary Engineering Sciences. 2016. V. 9. № 4. P. 187−199.
22. Artjushenko V.M., Volovach V.I. Zakony raspredelenija dalnosti obnaruzhenija protjazhennykh obektov radiotekhnicheskimi ustrojjstvami blizhnego dejjstvija // ZHurnal radioehlektroniki. 2015. № 1. S. 3. URL: http://jre.cplire.ru/jre/jan15/11/text.html.
23. Volovach V.I. Opredelenie dostovernosti obnaruzhenija protjazhennykh obektov po PRV dalnosti dejjstvija radiotekhnicheskikh ustrojjstv obnaruzhenija // Radiotekhnika. 2015. № 2. S. 39−51.
24. Volovach V.I. Analiticheskie zavisimosti zakona ustanovlenija pribornogo kontakta radiotekhnicheskikh sistem i ustrojjstv obnaruzhenija blizhnego dejjstvija // Uspekhi sovremennojj radioehlektroniki. 2015. № 2. S. 64−70.

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