Abstract
This paper presents the effective method for submarine tracking using EKF. EKF is a Bayesian recursive filter based on the linearization of nonlinearities in the state and the measurement system. Here the sonar system is used to determine the position and velocity of the target submarine which is moving with respect to non moving submarine, and sonar is the most effective methods in finding the completely immersed submarine in deep waters. When the target submarines position and velocity is located from the reflected sonar, an extended Kalman filter is used as smoothening filters that describes the position and velocity of the ship with the noisy measurements given by sonar that is reflected back. By using the algorithm of extended Kalman filter we derived to estimate the position and velocity. Here the target motion is defined in Cartesian coordinates, while the measurements are specified in spherical coordinates with respect to sonar location. When the target submarine is located, the alert signal is sent to the own ship. This can be excessively used in military applications for tracking the state of the target submarine. Prediction of the state of the submarine is possible, with Gaussian noise to the input data. The simulation results show that proposed method is able to track the state estimate of the target, this was validated by plotting SNR vs MSE of state estimates. Here in this algorithm regressive iteration method is used to converge to the actual values from the data received.
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References
Keller, A.C.: Submarine detection by sonar. AIEE 66, 1217–1230 (1947)
Zhou, S., Willett, P.: Submarine localization estimation via network of detection only sensors. IEEE Trans. Sig. Process. 55(6), 3104–3115 (2007)
Wang, X., Musicki, D., Ellem, R., Fletcher, F.: Efficient and enhanced multi-target tracking with doppler measurements. IEEE Trans. Aerosp. Electron. Syst. 45(4), 1400–1417 (2009)
Lerro, D., Bar-Shalom, Y.: Interacting multiple model tracking with amplitude feature. IEEE Trans. Aerosp. Electron. Syst. 29(2), 494–509 (1993)
Julier, S., Uhlmann, J., Durrant-Whyte, H.F.: A new method for the nonlinear transformation of means and covariance’s in filters and estimators. IEEE Trans. Autom. Control 45(3), 477–482 (2000)
Kulikov, G.Y., Kulikov, M.V.: The accurate continuous-discrete extended Kalman filter. IEEE Trans. Sig. Process. 64(4), 948–958 (2016)
Farina, A.: Target tracking with bearings-only measurements. Elsevier Sig. Process. 78(1), 61–78 (1999)
Sadhu, S., Srinivasan, M., Mondal, S., Ghoshal, T.K.: Bearing only tracking using square root sigma point Kalman filter. IEEE India Annual Conference 2004, pp. 66–69. INDICON (2004)
Kirubarajan, T., Lerro, D., Bar-Shalom, Y.: Bearings-only tracking of maneuvering targets using a batch-recursive estimator. IEEE Trans. Aerosp. Electron. Syst. 37(3), 770–780 (2001)
Pachter, M., Chandler, P.R.: Universal linearization concept for extended Kalman filter. IEEE Trans. Aerosp. Electron. Syst. 29(3), 946–962 (1993)
Lerro, D., Bar-Shalom, Y.: Tracking with debiased consistent converted measurements versus EKF. IEEE Trans. Aerosp. Electron. Syst. 29(3), 1015–1022 (1993)
Athans, M., Wishner, R.P., Bertolini, A.: Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements. IEEE Trans. Autom. Control 13(3), 504–514 (1968)
Salmond, D.J., Parr, M.C.: Track maintenance using measurements of target extent. IEEE Proc.-Radar Sonar Navig. 150(6), 389–395 (2003)
Nordsjo, A.E., Dynamics, S.B.: Target tracking based on Kaman-type filters combined with recursive estimation of model disturbances. IEEE International Radar Conference, pp. 115–120 (2005)
Gustafssan, F., Hendeby, G.: Some relations between extended and unscented Kalman filters. IEEE Trans. Sig. Process. 60(2), 545–555 (2012)
Nair, N., Sudheesh, P., Jayakumar, M.: 2-D tracking of objects using Kalman filter. In: International Conference on Circuit, Power and Computing Technologies (ICCPCT 2016) (2016)
Seshadri, V., Sudheesh, P., Jayakumar, M.: Tracking the variation of tidal Stature using Kalman filter. In: International Conference on Circuit, Power and Computing Technologies (ICCPCT 2016) (2016)
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Vikranth, S., Sudheesh, P., Jayakumar, M. (2016). Nonlinear Tracking of Target Submarine Using Extended Kalman Filter (EKF). In: Mueller, P., Thampi, S., Alam Bhuiyan, M., Ko, R., Doss, R., Alcaraz Calero, J. (eds) Security in Computing and Communications. SSCC 2016. Communications in Computer and Information Science, vol 625. Springer, Singapore. https://doi.org/10.1007/978-981-10-2738-3_22
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DOI: https://doi.org/10.1007/978-981-10-2738-3_22
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