Abstract
In this paper, performance of sparse-grid Gauss–Hermite filter (SGHF) in bearings-only tracking (BOT) problem has been studied and compared with the performance of unscented Kalman filter (UKF), cubature Kalman filter (CKF), and Gauss–Hermite filter (GHF). The performance has been compared in terms of estimation accuracy and percentage of track loss, subjected to high initial uncertainty. It has been found that track loss of SGHF is less than all other quadrature filters with comparable estimation accuracy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Karlsson, R., Gustafsson, F.: Recursive Bayesian estimation: bearings-only applications. In: IEE Proceedings-Radar, Sonar and Navigation, vol. 152, pp. 305–313. IET, Stevenage (2005)
Aidala, V.J.: Kalman filter behavior in bearings-only tracking applications. IEEE Trans. Aerosp. Electron. Syst. AES-15(1), 29–39 (1979)
Farina, A.: Target tracking with bearings-only measurements. Sig. Process. 78(1), 61–78 (1999)
Nardone, S.C., Aidala, V.J.: Observability criteria for bearings-only target motion analysis. IEEE Trans. Aerosp. Electron. Syst. AES-17(2), 162–166 (1981)
Ristic, B., Arulampalam, M.S.: Tracking a manoeuvring target using angle-only measurements: algorithms and performance. Sig. Process. 83(6), 1223–1238 (2003)
Arulampalam, M.S., Ristic, B., Gordon, N., Mansell, T.: Bearings-only tracking of manoeuvring targets using particle filters. EURASIP J. Appl. Sig. Process 2004, 2351–2365 (2004)
Julier, S.J., Uhlmann, J.K.: A new extension of the Kalman filter to nonlinear systems. In: Proceedings of SPIE: Signal Processing, Sensor Fusion, and Target Recognition VI, p. 182 (1997)
Julier, S.J., Uhlmann, J.K.: Unscented filtering and nonlinear estimation. Proc. IEEE 92(3), 401–422 (2004)
Arasaratnam, I., Haykin, S.: Cubature Kalman filters. IEEE Trans. Autom. Control 54(6), 1254–1269 (2009)
Bhaumik, S., Swati: Cubature quadrature Kalman filter. Sig. Process. IET 7(7), 533–541 (2013)
Arasaratnam, I., Haykin, S., Elliott, R.J.: Discrete-time nonlinear filtering algorithms using Gauss-Hermite quadrature. Proc. IEEE 95(5), 953–977 (2007)
Jia, B., Xin, M., Cheng, Y.: Sparse-grid quadrature nonlinear filtering. Automatica 48(2), 327–341 (2012)
Lin, X., Kirubarajan, T., Bar-Shalom, Y., Muskell, S.: Comparison of EKF pseudo measurement and particle filter for a bearing only target tracking problem. In: Proceedings of SPIE: Signal and Data Processing of Small Targets (2002)
Chalasani, G., Bhaumik, S.: Bearing only tracking using Gauss-Hermite filter. In: 7th IEEE Conference on Industrial Electronics and Applications (ICIEA), pp. 1549–1554. IEEE, New York (2012)
Bar-Shalom, Y., Li, X.R., Kirubarajan, T.: Estimation with applications to tracking and navigation: theory algorithms and software. Wiley, London (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer India
About this paper
Cite this paper
Radhakrishnan, R., Bhaumik, S., Tomar, N.K., Singh, A.K. (2015). Bearing-Only Tracking Using Sparse-Grid Gauss–Hermite Filter. In: Mandal, D., Kar, R., Das, S., Panigrahi, B. (eds) Intelligent Computing and Applications. Advances in Intelligent Systems and Computing, vol 343. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2268-2_37
Download citation
DOI: https://doi.org/10.1007/978-81-322-2268-2_37
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2267-5
Online ISBN: 978-81-322-2268-2
eBook Packages: EngineeringEngineering (R0)