系统工程与电子技术 ›› 2018, Vol. 40 ›› Issue (9): 1897-1904.doi: 10.3969/j.issn.1001-506X.2018.09.01

• 电子技术 • 上一篇    下一篇

基于贝塔高斯概率假设密度的扩展目标跟踪

李文娟, 吕婧, 顾红, 苏卫民   

  1. 南京理工大学电子工程与光电技术学院, 江苏 南京 210094
  • 出版日期:2018-08-30 发布日期:2018-09-06

Extended target tracking based on beta Gaussian probability hypothesis density

LI Wenjuan, LV Jing, GU Hong, SU Weimin   

  1. School of Electronic Engineering and Optoelectronic Technology, Nanjing University of Science and Technology, Nanjing 210094, China
  • Online:2018-08-30 Published:2018-09-06

摘要:

基于二项分布的扩展目标概率假设密度(extended target probability hypothesis density based on binominal distribution, BET-PHD)算法能够获得比泊松ET-PHD更好的跟踪性能。然而,BET-PHD中作为先验信息的检测概率和量测数目最大值在实际应用中是未知的。参数严重不匹配会导致算法性能急剧下降。鉴于已有文献给出量测数目最大值的估计方法,提出一种能够在线估计检测概率的贝塔高斯ET-PHD (beta Gaussian -ET-PHD, BG-ET-PHD)滤波器。首先采用二项分布的共轭先验贝塔分布估计检测概率,并与BET-PHD相结合得到 BG-ET-PHD。仿真结果表明,BG-ET-PHD滤波器能够准确估计检测概率,能够获得比基于泊松模型的伽马高斯ET-PHD (gamma Gaussian ET-PHD, GG-ET-PHD)更好的跟踪性能。

Abstract:

The extended target probability hypothesis density (BET-PHD) method based on binominal distribution has shown better tracking performance than the Poisson ET-PHD method. However, the detection probability and measurement number maximum as prior information in BET-PHD are unknown in practical applications. Significant mismatches in these parameters make the method’s performance decline sharply. In view of the method to estimate the measurement number maximum already being presented by some literature, this paper proposes a beta Gaussian ET-PHD (BG-ET-PHD) filter for online estimating the detection probability. Firstly, use the conjugate prior, beta distribution of binominal distribution to estimate the detection probability, and then the BG-ET-PHD is obtained by combing beta distribution with BET-PHD. Finally, simulated results show that the BG-ET-PHD filter has good estimates for the detection probability and can obtain better tracking performance compared with gamma Gaussian ET-PHD (GG-ET-PHD) based on a Poisson model.