Tracking of Midcourse Ballistic Target Group on Space-based Infrared Focal Plane using GM-CPHD Filter

Dong Li; Dong-Yun Yi

doi:10.14429/dsj.62.1199

Dong Li National University of Defense Technology, Changsha
Dong-Yun Yi National University of Defense Technology, Changsha

DOI: https://doi.org/10.14429/dsj.62.1199

Keywords: GM-CPHD filter, random finite set, track continuity, 0-1 integer programming, space-based infrared focal plane

Abstract

Tracking of midcourse ballistic target group on space-based infrared focal plane plays a key role in the space-based early warning system. This paper proposes the Gaussian-mixture cardinalized probability hypothesis density (GM-CPHD) filter to solve this problem. The multi-target states and measurements on infrared focal plane are modeled by random finite set (RFS). The intensity function of RFS of multi-target states and the probability distribution of target number are jointly propagated by cardinalized probability hypothesis density (CPHD) recursion. Under the assumptions of linear Gaussian multi-target models, the Gaussian-mixture implementations of CPHD are presented, and the target number and the multi-target states on infrared focal plane are estimated. In order to enable track continuity, we propose 0-1 integer programming to associate the estimated states between frames. The simulation results show that the GM-CPHD filter can dramatically improve the accuracy of estimated target number and estimated target states compared with the Gaussian-mixture probability hypothesis density filter, and that the track continuity can be successfully achieved.

Defence Science Journal, 2012, 62(6), pp.431-436, DOI:http://dx.doi.org/10.14429/dsj.62.1199

Author Biographies

Dong Li, National University of Defense Technology, Changsha

Mr Dong Li received his BS and MS from National University of Defense Technology in 2006 and 2008, respectively. His research interests are target tracking and signal processing.

Dong-Yun Yi, National University of Defense Technology, Changsha

Dr Dong-Yun Yi received his PhD from National University of Defense Technology in 2003. Presently working as a Professor at the Department of Mathematics and Systems Science, National University of Defense Technology. His main research interests are: Signal processing, data fusion, and dynamic system analysis.