系统工程与电子技术

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基于势概率假设密度滤波器的不可分辨目标跟踪算法

连峰, 元向辉, 陈辉   

  1. 西安交通大学电子与信息工程学院综合自动化研究所, 陕西 西安 710049
  • 出版日期:2013-12-24 发布日期:2010-01-03

Tracking unresolved targets using cardinalized probability hypothesis density filter

LIAN Feng, YUAN Xianghui, CHEN Hui   

  1. Institute of Integrated Automation, School of Electronics and Information Engineering, Xi’an Jiaotong University, Xi’an 710049, China
  • Online:2013-12-24 Published:2010-01-03

摘要:

根据有限集统计方法,推导得到了可适用于不可分辨目标跟踪问题的势概率假设密度(cardinalized probability hypothesis density, CPHD)滤波器。类似传统的点目标CPHD滤波器,该不可分辨目标CPHD滤波器不仅可以递推地传递多目标状态集合的一阶统计矩,还可以传递多目标个数(即势)的概率分布。蒙特卡罗仿真实验表明,相比Mahler提出的不可分辨目标PHD滤波器,所提出的不可分辨目标CPHD滤波器具有更加精确和稳定的多目标个数和状态估计,但它的计算量要大于不可分辨目标PHD滤波器。

Abstract:

According to the theory of finite set statistics, a cardinalized probability hypothesis density (CPHD) filter is proposed for tracking unresolved targets. Similar to the original point-target CPHD filter, the proposed unresolved-target CPHD filter propagates not only the first-order statistical moment but also the entire probability distribution on the unresolved-target number. Monte Carlo imulation results show that the target number and state estimation from the proposed unresolved-target CPHD filter are more accurate and reliable than those of Mahler’s unresolved-target PHD filter although the computational load of the proposed CPHD filter is more expensive than that of the unresolved-target PHD filter.