Chirp radar:selection of α-β filter gain by minimizing maximum root-mean-square error

M.A. Murzova; V.E. Farber

Chirp radar:selection of α-β filter gain by minimizing maximum root-mean-square error

research article UDC 621.396.96 Pages: 5-16

¹ Post-graduate Student, Moscow Institute of Physics and Technology (State University); Engineer, PJSC «Radiofizika» (Moscow)
² Dr.Sc.(Eng.), Professor, Head of Department, PJSC «Radiofizika» (Moscow); Professor, Moscow Institute of Physics and Technology (State University)

Keywords: linear frequency modulated signal range-Doppler coupling stability boundaries α-β filter lag errors optimal filter parameters maneuvering objects

Abstract

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.

How to cite

Мурзова М.А., Фарбер В.Е. Выбор коэффициентов сглаживания α-β фильтра по критерию минимума дисперсии суммарной ошибки для РЛС с ЛЧМ-сигналом // Радиотехника. 2018. № 4. С. 5–16.

References

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Murzova M.A., Farber V.E. Analiz atmosfernogo fil’tra, adaptirovannogo k nalichiyu skorostnoj oshibki po dal’nosti // Radiotexnika. 2017. № 4. S. 5−14.
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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.

[1] Shirman Ya.D., Manzhos V.N. Teoriya i texnika obrabotki radiolokaczionnoj informaczii na fone pomex. M.: Radio i svyaz’. 1981.

[2] 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.

[3] 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.

[4] 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.

[5] 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.

[6] 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.

[7] 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.

[8] 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.

[9] Farber V.E. Analiz xarakteristik algoritmov oczenki e’ffektivnosti ae’rodinamicheskogo tormozheniya vxodyashhix v atmosferu kosmicheskix ob’‘ektov // Radiotexnika. 2007. № 10. S. 81−87.

[10] 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.

[11] 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.

[12] 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.

[13] 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.

[14] Murzova M.A., Farber V.E. Analiz atmosfernogo fil’tra, adaptirovannogo k nalichiyu skorostnoj oshibki po dal’nosti // Radiotexnika. 2017. № 4. S. 5−14.

[15] Trofimenko M.A., Farber V.E. Oczenka vliyaniya skorostnoj oshibki na ustojchivost’ fil’trov vtorogo poryadka// Radiotexnika. 2016. № 4. S. 5−17.

[16] 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.

[17] 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.

[18] Tuzlukov V. Signal processing in radar systems. Tailor & Francis Group. 2013.

[19] Farber V.E. Osnovy’ traektornoj obrabotki radiolokaczionnoj informaczii v mnogokanal’ny’x RLS: Ucheb. posobie. M.: MFTI. 2005.

[20] Blair W.D., Fixed-gain, two-stage estimators for tracking maneuvering targets // Naval Surface Warfare Center, Dahlgren Divison, Dahlgren, VA 22448-5000. 1992.

[21] 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.

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