Range-only Target Localisation using Geometrically Constrained Optimisation

En Fan; Weixin Xie; Zongxiang Liu; Peng-fei Li

doi:10.14429/dsj.65.5474

En Fan Xidian University, Xi’an
Weixin Xie Shenzhen University, Shenzhen
Zongxiang Liu Shenzhen University, Shenzhen
Peng-fei Li Air Defense Forces Academy, Zhengzhou

DOI: https://doi.org/10.14429/dsj.65.5474

Keywords: Range-only target localisation, target localisation, nonlinear optimisation, Cramer-Rao lower bound, Levenberg-Marquardt algorithm, radar networking, two-dimensional search radar

Abstract

The problem of optimal range-only localisation of a single target is of considerable interest in two-dimensional search radar networking. For coping with this problem, a range-only target localisation method using synchronous measurements from radars is presented in the real ellipsoidal earth model. In the relevant radar localisation scenario, geometric relationships between the target and three radars were formed. A set of localisation equations was derived on range error in such a scenario. Using these equations, the localisation task has been formulated as a nonlinear weighted least squares problem that can be performed using the Levenberg- Marquardt (LM) algorithm to provide the optimal estimate of the target’s position. To avoid the double value solutions and to accelerate the convergence speed for the LM algorithm, the initial value was approximately given according to observations from two radars. In addition, the relative validity has been defined to evaluate the performance of the proposed method. The performance of the proposed approach is evaluated using two simulation experiments and a real-test experiment, and it has been found to possess higher localisation accuracy than the other conventional method.

Defence Science Journal, Vol. 65, No. 1, January 2015, pp.70-76, DOI:http://dx.doi.org/10.14429/dsj.65.5474

Author Biographies

En Fan, Xidian University, Xi’an

Mr E. Fan received Bachelor Degree in Electronic Information Science and Technology from Hubei Engineering University, Xiaogan, in 2002 and Master Degree in Signal and Information Processing from Nanchang Hangkong University, Nanchang, in 2006. Currently pursuing his PhD in Signal and Information Processing at Xidian University, Xi’an, China. His research interest include: Intelligent information processing and multisensor data fusion.

Weixin Xie, Shenzhen University, Shenzhen

Prof. W.X. Xie graduated from Xidian University, Xi’an. Currently working as a Professor at College of Information Engineering, Shenzhen University, Shenzhen, China. His fields of interests include: intelligent information processing, fuzzy information processing, image processing, pattern recognition, etc.

Zongxiang Liu, Shenzhen University, Shenzhen

Prof. Z.X. Liu received the Bachelor Degree and Master Degree from Tianjin University, Tianjin, in 1985 and 1990, respectively, and PhD from Xidian University, Xi’an, in 2005. Currently working at the College of Information Engineering, Shenzhen University, Shenzhen, China. His fields of interest include: Intelligent information processing, fuzzy information processing, and multisensor data fusion.

Peng-fei Li, Air Defense Forces Academy, Zhengzhou

Dr P.F. Li received his BS and MS from Air Defense Forces Command Academy, Zhengzhou, China, in 2004 and 2007, and PhD from Shenzhen University, Shenzhen, China, in 2010. He currently is a Lecturer at the Air Defense Forces Academy, Zhengzhou, China. His main research interests include: Data fusion, target tracking, and nonlinear estimation.