Ya.O. Areshin – Leading Engineer, JSC «SPC «SRI of Long-distance Radio Communication» (Moscow) E-mail: yareshin@gmail.com

B.A. Zaikin – Post-graduate Student, Department of Theoretical Radio Engineering and Radiophysics,  Institute of Radio Engineering and Telecommunication Systems RTU MIREA (Moscow)

E-mail: halfmazerkin@gmail.com

A.F. Kotov – Dr.Sc.(Eng.), Professor, Department of Theoretical Radio Engineering and Radiophysics,  Institute of Radio Engineering and Telecommunication Systems RTU MIREA (Moscow) E-mail: kotov@mirea.ru

A synthesis of an algorithm of nonlinear filtering for its using in a security three-position rangefinder radio system and a comparison of quality indicators of a security three-position rangefinder radio system and a security single-position angular-rangefinder radio system are introduced in the article. An algorithm of nonlinear filtering in general and its synthesis for given system are presented in Part 1. Part 2 describes the definition of estimation criteria for the quality of filtering process, parameters for modeling the given systems and the results of the modeling. Results include graphics of standard deviation depending on signal/noise ratio, width of the spectrum and distance of an object of observation.

1. Grebennikov V.B., Kotov A.F. Impul’sny’e mnogopoziczionny’e radiotexnicheskie sistemy’ // Radiotexnika. 1987. № 6. S. 6−9.
2. Azizov A.G., Zaikin B.A., Kalinichenko M.E., Kotov A.F. Kvazioptimal’ny’j algoritm vtorichnoj obrabotki informaczii v radiolokaczionnoj sisteme // Vestnik MGTU MIRE’A. 2014. № 2(3). S. 184−195.
3. Popov Yu.B., Masharov K.V. Oczenka koordinat vozdushnogo ob’‘ekta v mnogopoziczionnoj RLS s ispol’zovaniem fil’tra Kalmana // Doklady’ TUSURa. 2011. № 1(23). S. 22−28.
4. Kalman R.E. A new Approach to linear filtering and prediction problems // Transactions of the ASME-Journal of basic Engineering. 1960. 82 (Series D). P. 35−45.
5. Razin A.A., Sharov S.V. Sravnitel’ny’e oczenki tochnosti izmerenij uglovy’x koordinat v bortovoj RLS pri ispol’zovanii α-β fil’tra i modifikaczii fil’tra Kalmana // Nauka i obrazovanie. 2010. № 12. S. 1−11.
6. R.Sri Ram Kumar, M. Venkat, J.Ravi Kumar. Performance comparison of α-β-γ filter and kalman filter for CA, NCA target tracking using bistatic range and range rate measurments // IEEE International Conference on Communication and Signal Processing ICCSP. 2014. P. 1462−1466.
7. Khaloozadeh H., Karsaz A. Modified input estimation technique for tracking manoeuvring targets // IER Radar Sonar Navig. 2009. V. 3. № 3. P. 30−41.
8. Dirk Tenne, Tarunraj Singh. Characterizing Performance of α-β-γ Filters // IEEE Transactions on aerospace and electronic systems. 2002. V. 38. № 3. P. 1072−1087.
9. Gusak A.A., Gusak G.M., Brichnikova E.A. Spravochnik po vy’sshej matematike. Mn.: TetraSistems. 1999. 538 c.
10. Dudnik P.I., Kondratenkov G.S., Tatarskij B.G., Il’chuk A.R., Gerasimov A.A. Aviaczionny’e radiolokaczionny’e kompleksy’ i sistemy’: uchebnik dlya slushatelej i kursantov VUZov VVS. M.:Izd-vo VVIA im. prof. N.E. Zhukovskogo. 2006. 1112 s.
11. Skolnik M.I. a.o. Radar handbook. Third edition. USA. McGraw-Hill companies. 2008. 1352 p.
12. Swerling P. Maximum angular accuracy of a pulsed search radar // Proc. IRE. 1956. V. 44. P. 1146−1155.