Adaptive Measurement Noise Covariance Matrix R for JPDAF based Multitarget Tracking

Sidra Ghayour Bhatti, A. I. Bhatti
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Abstract

In multitarget tracking, several targets of interest are being tracked simultaneously with the help of any optimal estimator. Kalman Filter (KF) and Extended Kalman Filter (EKF) have proved to be very good estimators. Multitarget tracking finds its applications in diverse fields like pattern recognition, computer vision, radar tracking, robotics, etc. Several algorithms have been implemented for multitarget tracking including Probabilistic Data Association Filter (PDAF), Joint Probabilistic Data Association Filter (JPDAF), Nearest Neighbor Standard Filter (NNSF), Global Nearest Neighbor (GNN), Neural Networks (NNs), etc. Joint Probabilistic Data Association Filter (JPDAF) is the multitarget version of Probabilistic Data Association Filter (PDAF), in which joint association probabilities are computed and tracks are then updated based upon theses probabilities. Measurement noise covariance matrix R in Kalman filter needs to be transformed from polar to cartesian coordinate system. The optimal value of R should be calculated for the good performance of filter. In this paper, measurement noise covariance matrix R has been computed using transformation and more than 80% of the desired results have been achieved by performing tracking using JPDAF algorithm.
基于JPDAF的多目标跟踪自适应测量噪声协方差矩阵R
在多目标跟踪中,在任意最优估计器的帮助下,多个感兴趣的目标被同时跟踪。卡尔曼滤波器(KF)和扩展卡尔曼滤波器(EKF)已被证明是非常好的估计器。多目标跟踪在模式识别、计算机视觉、雷达跟踪、机器人等领域都有广泛的应用。目前已经实现了几种多目标跟踪算法,包括概率数据关联滤波器(PDAF)、联合概率数据关联滤波器(JPDAF)、最近邻标准滤波器(NNSF)、全局最近邻滤波器(GNN)、神经网络(NNs)等。联合概率数据关联过滤器(JPDAF)是概率数据关联过滤器(PDAF)的多目标版本,其中计算联合关联概率,然后根据这些概率更新轨迹。卡尔曼滤波中的测量噪声协方差矩阵R需要从极坐标系变换到笛卡儿坐标系。为了保证滤波器的良好性能,应计算出R的最优值。本文通过变换计算测量噪声协方差矩阵R,利用JPDAF算法进行跟踪,达到了80%以上的预期结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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