航空学报 > 2008, Vol. 29 Issue (2): 450-455

混合线性/非线性模型的准高斯Rao-Blackwellized粒子滤波法

庄泽森,张建秋,尹建君   

  1. 复旦大学 信息科学与工程学院
  • 收稿日期:2007-04-27 修回日期:2007-08-01 出版日期:2008-03-15 发布日期:2008-03-15
  • 通讯作者: 张建秋

Quasi-Gaussian Rao-Blackwellized Particle Filter for Mixed Linear/NonlinearState Space Models

Zhuang Zesen,Zhang Jianqiu,Yin Jianjun   

  1. School of Information Science and Engineering, Fudan University
  • Received:2007-04-27 Revised:2007-08-01 Online:2008-03-15 Published:2008-03-15
  • Contact: Zhang Jianqiu

摘要:

针对混合线性/非线性模型,提出一种新的递推估计滤波算法,称为准高斯Rao-Blackwellized粒子滤波器(Q-GRBPF)。算法采用Rao-Blackwellized思想,将线性状态与非线性状态进行分离,对非线性状态运用准高斯粒子滤波(Q-GPF)算法进行估计,并将其后验分布近似为单个高斯分布,再利用非线性状态的估计值对线性状态进行卡尔曼滤波(KF)估计。将Q-GRBPF应用于目标跟踪的仿真结果表明,与Rao-Blackwellized粒子滤波器(RBPF)相比,Q-GRBPF在保证估计精度的前提下有效降低了计算复杂度,计算时间约为RBPF的58%;与Q-GPF相比,x坐标与y坐标的估计精度分别提升了45%和30%,而计算时间也节省了约30%。

关键词: 信号处理, 准高斯Rao-Blackwellized粒子滤波器, 仿真, 混合线性/非线性, 目标跟踪

Abstract:

A new recursive estimation algorithm, called the quasi-Gaussian Rao-Blackwellized particle filter (Q-GRBPF), is proposed for filtering mixed linear/nonlinear state space models. The algorithm utilizes the idea of RaoBlackwellized to separate the linear and nonlinear states. For the nonlinear states, the posterior distributions of the estimates, which are achieved by the quasi-Gaussian particle filter (Q-GPF), are approximated as Gaussian distributions. Also, the linear states are estimated by the Kalman filter(KF) with the estimated nonlinear states.

Key words: signal , processing,  , quasi-Gaussian , Rao-Blackwellized , particle , filter,  , simulation,  , mixed , linear/nonlinear,  , target , tracking

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