摘要
A novel multi-observer passive localization algorithm based on the weighted restricted total least square (WRTLS) is proposed to solve the bearings-only localization problem in the presence of observer position errors. Firstly, the unknown matrix perturbation information is utilized to form the WRTLS problem. Then, the corresponding constrained optimization problem is transformed into an unconstrained one, which is a generalized Rayleigh quotient minimization problem. Thus, the solution can be got through the generalized eigenvalue decomposition and requires no initial state guess process. Simulation results indicate that the proposed algorithm can approach the Cramer-Rao lower bound (CRLB), and the localization solution is asymptotically unbiased.
A novel multi-observer passive localization algorithm based on the weighted restricted total least square (WRTLS) is proposed to solve the bearings-only localization problem in the presence of observer position errors. Firstly, the unknown matrix perturbation information is utilized to form the WRTLS problem. Then, the corresponding constrained optimization problem is transformed into an unconstrained one, which is a generalized Rayleigh quotient minimization problem. Thus, the solution can be got through the generalized eigenvalue decomposition and requires no initial state guess process. Simulation results indicate that the proposed algorithm can approach the Cramer-Rao lower bound (CRLB), and the localization solution is asymptotically unbiased.
基金
supported by the Aeronautical Science Foundation of China (20105584004)
the Science and Technology on Avionics Integration Laboratory
作者简介
Changwen Qu was born in 1963. He received his bachelor degree and master degree from Naval Aeronautical and Astronautical University in 1985 and 1995, respectively and his Ph.D. degree from Naval University of Engineering in 2004. Since 2005, he has been a professor with Naval Aeronau- tical and Astronautical University. He is a senior member of CIE. His research interests include passive localization and tracking techniques, SAR imaging and target detection. E-mail: qcwwby@sohu.comCorresponding author.Zheng Xu was born in 1985. He received his bachelor degree and master degree from Naval Aeronauti- cal and Astronautical University in 2008 and 2010, respectively. He is now a Ph.D. candidate for Naval Aeronautical and Astronautical University. His research interests are passive localization and tracking techniques. E-mail: xuzheng85@ 126.comChanghai Wang was born in 1986. He received his bachelor degree from Naval Aeronautical and Astronautical University in 2010 and now is a master candidate for Naval Aeronautical and Astronautical University. His research interests are passive localization and tracking techniques. E-mail: wchwchh@sina.com