M.A. Murzova – Post-graduate Student, Moscow Institute of Physics and Technology (State University);
Engineer, PJSC «Radiofizika» (Moscow)
E-mail: mariya.trofimenko@phystech.edu
V.E. Farber – Dr.Sc.(Eng.), Professor, Head of Department, PJSC «Radiofizika» (Moscow); Professor, Moscow Institute of Physics and Technology (State University) E-mail: vladeffar@mail.ru
In this paper, the features of algorithm that is designed to track the maneuvering objects are studied. These maneuvering objects are detected by a chirp radar. Usage of linear frequency modulated signals results in so-called range-Doppler coupling, which yields a displacement of measured position from a true range of moving objects. Besides that, an α-β filter develops a lag error in its estimates while tracking maneuvering objects. The variance of estimate does not accurately represent actual error. Therefore, an optimal filter parameters α and β, at which the track accuracy is improved, are derived. Also, the calculation procedure of lag errors is described.
- Shirman Ya.D., Manzhos V.N. Teoriya i texnika obrabotki radiolokaczionnoj informaczii na fone pomex. M.: Radio i svyaz’. 1981.
- Fitzgerald R.J. Effect of Range-Doppler Coupling on Chirp Radar Tracking Accuracy // IEEE Transactions on Aerospace and Electronic Systems. 1974. Vl. AES-10. № 4. P. 528−532.
- Farber V.E. Analiz xarakteristik algoritmov opredeleniya parametrov dvizheniya kosmicheskix apparatov po informaczii radiolokaczionny’x sredstv, ispol’zuyushhix zondiruyushhie signaly’ s linejnoj chastotnoj modulyacziej // Kosmicheskie issledovaniya. 1995. T. 33. № 1. S. 31−35.
- Trofimenko M.A., Farber V.E. Oczenka vliyaniya nalichiya skorostnoj oshibki pri izmereniyax dal’nosti v RLS s LChM-signalom na graniczy’ ustojchivosti algoritmov oczenki dal’nosti i radial’noj skorosti // Radiotexnika. 2015. № 10. S. 7−16.
- Wong W., Blair W.D. Steady-state tracking with LFM waveforms // IEEE Transactions on Aerospace and Electronic Systems. 2000. V. 36. № 2. P. 701−709.
- Jain V., Blair W.D. Filter Design for Steady-State Tracking of Maneuvering Targets with LFM Waveforms // IEEE Transactions on Aerospace and Electronic Systems. 2009. V. 45. № 2. P. 765−773.
- Murzova M.A., Farber V.E. The α-β Filter for Tracking Maneuvering Objects with LFM Waveforms // IVth International Conference on Engineering and Telecommunication. IEEE. 2017. P. 104−107.
- Murzova M.A. Oczenka vliyaniya skorostnoj oshibki po dal’nosti na tochnostny’e xarakteristiki fil’tra pervogo poryadka // Materialy’ XI Vseros. nauchno-texnich. konf. «Radiolokacziya i radiosvyaz’». 2017. S. 57−61.
- Farber V.E. Analiz xarakteristik algoritmov oczenki e’ffektivnosti ae’rodinamicheskogo tormozheniya vxodyashhix v atmosferu kosmicheskix ob’‘ektov // Radiotexnika. 2007. № 10. S. 81−87.
- Goroxov A.V., Farber V.E. Reshenie zadachi ob optimal’nom by’strodejstvii nablyudeniya za snizhayushhimisya v atmosfere kosmicheskimi ob’‘ektami // Izvestiya RAN. Teoriya i sistemy’ upravleniya. 1992. № 2. S. 197−205.
- Solov’ev G.K., Tolkachev A.A., Farber V.E. Ob ispol’zovanii LChM-signala dlya otstrojki e’xo-signala plazmennogo sleda ot e’xo-signala soprovozhdaemogo ob’‘ekta // Radiotexnika. 2006. № 4. S. 51−52.
- Trofimenko M.A., Farber V.E. Influence of range-Doppler coupling on the tracking stability of reentering space objects // IEEE International Conference on Engineering and Telecommunication. 2015. P. 40−44.
- Trofimenko M.A., Farber V.E. Oczenka vliyaniya skorostnogo smeshheniya v radiolokaczionny’x stancziyax s LChM-signalom na graniczy’ ustojchivosti soprovozhdeniya vxodyashhix v atmosferu kosmicheskix ob’‘ektov // Trudy’ MFTI. 2015. T. 7. № 2. S. 156−166.
- Murzova M.A., Farber V.E. Analiz atmosfernogo fil’tra, adaptirovannogo k nalichiyu skorostnoj oshibki po dal’nosti // Radiotexnika. 2017. № 4. S. 5−14.
- Trofimenko M.A., Farber V.E. Oczenka vliyaniya skorostnoj oshibki na ustojchivost’ fil’trov vtorogo poryadka// Radiotexnika. 2016. № 4. S. 5−17.
- Kalata Paul. R. The Tracking Index: A Generalized Parameter for α-β and α-β-γ Target Trackers // IEEE Transactions on Aerospace and Electronic Systems. 1984. V. AES-20. № 2. P. 174−182.
- Ryabova-Oreshkova A.P. Fil’try’ s e’ffektivnoj konechnoj pamyat’yu, realizuemy’e na CzVM posredstvom rekurrentny’x formul // Izv. AN SSSR. Texnicheskaya kibernetika. 1969. № 4.
- Tuzlukov V. Signal processing in radar systems. Tailor & Francis Group. 2013.
- Farber V.E. Osnovy’ traektornoj obrabotki radiolokaczionnoj informaczii v mnogokanal’ny’x RLS: Ucheb. posobie. M.: MFTI. 2005.
- Blair W.D., Fixed-gain, two-stage estimators for tracking maneuvering targets // Naval Surface Warfare Center, Dahlgren Divison, Dahlgren, VA 22448-5000. 1992.
- Kuz’min S.Z. Osnovy’ proektirovaniya sistem czifrovoj obrabotki radiolokaczionnoj informaczii. M.: Sov. radio. 1986. 22. Eli Brookner. Tracking and Kalman Filtering Made Easy. John Wiley & Sons. Inc.1998.