基于变分贝叶斯泊松多伯努利混合滤波器的扩展目标跟踪算法

    Variational Bayesian Poisson Multi-Bernoulli Mixture Filter for Extended Target Tracking

    • 摘要: 针对传统泊松多伯努利(PMBM)滤波器在量测噪声协方差未知场景下跟踪性能显著下降的问题,本文提出一种改进的扩展目标跟踪算法并给出了其实现方法。该算法基于变分贝叶斯(VB)框架构建泊松多伯努利混合滤波器模型,认为扩展目标的量测由目标表面的量测产生点所产生,联合估计量测产生点和量测噪声协方差的后验概率密度,使用变分贝叶斯技术将联合后验概率密度近似为高斯逆伽马分布,滤波迭代过程中通过实时量测动态更新高斯逆伽马分布参数,实现量测产生点状态与噪声协方差的同步估算,基于聚类分析的量测产生点分组策略,实现扩展目标状态的有效提取。实验结果显示,本文所提VB-PMBM算法可有效地估计多扩展目标的状态,跟踪性能优于传统的PMBM算法。

       

      Abstract: In order to address the issue that the performance of tracking using the traditional Poisson Multi - Bernoulli Mixture(PMBM) filter rapidly deteriorates when the measurement noise covariance is unknown, an improved extended target tracking algorithm and its implementation method was proposed. The algorithm constructs a Poisson multi-Bernoulli mixture filter model based on the variational Bayesian(VB) framework,which assumes the measurements of an extended target are generated by the measurement generation points on the surface of the target. It jointly estimates the posterior probability density of the measurement generation points and the measurement noise covariance. The variational Bayesian approach is implemented to approximate the joint posterior probability density as a Gaussian inverse gamma distribution. During the filtering process, the parameters of the Gaussian inverse gamma distribution are iteratively updated to achieve the goal of jointly estimating the states of the measurement generation points and the measurement noise covariance. Finally, the state of the extended target is obtained by clustering the measurement generation points. Simulation experiments show the proposed VB-PMBM algorithm in this paper can effectively estimate the states of multiple extended targets, and its tracking performance is superior to that of the traditional PMBM algorithm.

       

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