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Characterisation Studies of Underwater Target Tracking
Abstract
Passive target tracking using bearings-only measurements is used to track underwater targets. Unscented Kalman Filter (UKF) is proved to be efficient non-linear estimator to estimate the target motion parameters. An effort is made to find out the Range Uncertainty Ellipse Zone (RUEZ) of the target using UKF covariance matrix in Monte-Carlo simulation. Underwater warfare today constitutes one of the greatest threats to the freedom of the seas. In under water, a single submarine processes noisy sonar bearings from a radiating target (ship/submarine/torpedo) in passive listening mode. The target is assumed to be at constant velocity. Bearing measurements by passive sensors are inaccurate. The observer processes these measurements and finds out Target Motion Parameters (TMP) - viz., range, course, bearing and speed of the target. This process is called Target Motion Analysis (TMA). Here the measurement is non-linear, making the whole process non-linear. Once the target’s RUEZ becomes less than that of homing zone of the weapon to be fired on to target, weapon can be released to destroy the target.
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References
S.C Nardone, A.G. Lindgren and K.F.Gong, “Fundamental properties and performance of conventional bearings only target motion analysis”, IEEE Trans. Automatic Control Vol. Ac -29, No.9, September 1984, pp 775-787.
S.Koteswara Rao, “Maximum Likelihood Estimator for Bearings-only Passive Target Tracking in Electronic Surveillance Measure and Electronic Warfare Systems”, Defence Science journal, Vol. 60, No.2, pp. 197-203, DESIDOC, Delhi, Mar. 2010
S. Koteswara Rao, “Pseudo linear estimator for Bearings only Passive Target Tracking”, IEE Proc., Radar, Sonar, Navigation. Vol.148, No.1, Feb’01, pp 16-22.
A.G. Lindgren, K.F. Gong, “Position and velocity estimation via bearing observations”, IEEE Trans. Aerospace. Electron. Syst., Vol. 14, 1978, pp 564-577.
V.J. Aidala, “Kalman filter behaviour in bearings only tracking applications”, IEEE Trans. Aerospace. Electro. System, Vol. 15, No.1, January 1979.
T.L. Song & J.L. Speyer, “A stochastic Analysis of a modified gain extended Kalman filter with applications to estimation with bearing only measurements”, IEEE Trans.Automatic Control, Vol. 30, No.10, October 1985, pp 940-949.
W. Grossman, “Bearings only tracking A hybrid coordinate system Approach”, Journal of Guidance, Vol. 17, No.3, May - June, 1994, pp 451-457.
P.J. Galkowski and M.A. Islam, “An alternative derivation of the modified gain function of Song and Speyer”, IEEE Trans. Automatic Control, Vol. 36, No.11, November 1991, pp 1323-1326.
S. Koteswara Rao, “Modified gain extended Kalman filter with application to bearings-only passive maneuvering target tracking”, IEE Proceedings on Radar, Sonar & Navigation, Vol. 152, No.4, August 2005, pp 239-244.
E.A. Wan and R. van der Merwe, “The unscented Kalman filter for nonlinear estimation”, In Proceeding of IEEE Symposium 2000 on Adaptive Systems for Signal Processing, Communication and Control, Lake Louse, Alberta, Canada, October 2000.
S. Koteswara Rao, K. Raja Rajeswari and K. S. Lingamurty , “Unscented Kalman Filter with Application to Bearings-only Target Tracking”. IETE Journal of Research, Vol. 55, No. 2, pp. 63-67, Mar-Apr. 2009.
Dan Simon, “Optimal State Estimation: Kalman, H and nonlinear Approximations”,Wiley, 2006.
B. Ristick, S. Arulampalam and N. Gordon, “Beyond Kalman Filters–Particle filters for tracking applications”, Artech House, DSTO, 2004.
S. Koteswara Rao, K. Raja Rajeswari and K. S. Lingamurty, “Doppler-Bearing Passive target tracking using Parameterized Unscented Kalman Filter”. IETE Journal of Research, Vol. 56, Issue 1, pp. 64-70, Jan-Feb. 2010.
S.Koteswara Rao “Simplified Intercept Guidance for non-wire Guided Weapons”, UDT Europe, June 1998, Wembley Conference Centre,London,UK,pp.23-25
S.Koteswara Rao, A.Jawahar, Sk.B.Karishma “Validation of Bearings-only Underwater Passive Target tracking solution”, submitted to IET Radar Sonar Navigation.
Pei H. Leong, Sanjeev Arulapalam, Tharaka A. Lamahewa, Thushara D. Abhayapala,” A Gaussian-Sum Based Cubature Kalman Filter for Bearings-Only Tracking”, IEEE Trans. on Aerospace and Electronic Systems, Vol.49.No.2,April.2013.
Yu Liu and X. Rong Li,” Measure of Nonlinearity for Estimation”, IEEE Transactions on Signal Processing, Vol.63, No.9, May 1.2015.
Stansfield R.G,” statistical theory of D. F. Fixing”, journal of the IEE (London), Pt. IIIA, 94, 15(1947), 762-770.
Lesaw R.Paradowski, “Uncertainty Ellipses and Their Application to Interval Estimation of Emitter Position”, IEEE Trans. on Aerospace and Electronic Systems, Vol.33.No.1, January. 1997.
Chun Yang, Erik Blasch, Ivan Kadar, “Geometric Factors in Target Positioning and Tracking”, 12th International Conference on Information Fusion Seattle, WA, USA, July 6-9, 2009.
G.H.Wang, J.Baj, Y.He, J.J.Xiu, “Optimal deployment of multiple passive sensors in the sense of minimum concentration ellipse”, IET Radar, Sonar and Navigation, Vol.3, No.1, pp.8-17, 2009.
Don J Torrieri, “Statistical Theory of passive location systems”, IEEE trans. On Aerospace and Electronic Systems, Vol.20, No. 2, 1984.
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