基于多帧R-D谱回波幅度分布的紧凑型地波雷达点迹-航迹关联方法

A Plot-to-Track Association Method Based on the Echo Amplitude Distribution of Multi-Frame R-D Spectrums for Compact High Frequency Surface Wave Radar

  • 摘要: 紧凑型地波雷达对目标参数测量精度低,传统点迹-航迹关联方法仅依赖单时刻不准确的运动学参数,在跟踪邻近目标跟踪时易发生关联错误。为此,本文利用目标回波在多帧距离-多普勒(Range-Doppler, R-D)谱中幅度分布稳定的特点,提出了一种基于多帧R-D谱回波幅度分布的点迹-航迹关联方法,采用运动学参数与回波幅度分布联合匹配提高关联准确率。首先,对于每条已起始的航迹,采用Sobel算子计算各帧R-D谱中目标回波的梯度幅值并构建序列,经平滑后,利用核密度估计构建航迹梯度幅值序列的连续概率密度函数(Probability Density Function, PDF)。然后,以目标的预测状态为中心建立关联波门,并计算关联波门内候选点迹的梯度幅值及瞬时概率密度函数。最后,利用库尔贝克-莱布勒(Kullback-Leibler, KL)散度衡量候选点迹的瞬时PDF与当前航迹的连续PDF之间的相似度,选取KL散度最小的候选点迹进行航迹更新。利用紧凑型地波雷达实测海上目标数据开展了点迹-航迹关联实验,结果表明,与最近邻数据关联方法相比,该方法得到的目标航迹时长增加了28.2%,平均延长了14.3 min,提高了目标跟踪的连续性。

     

    Abstract: Compact high-frequency surface wave radar (HFSWR) exhibits low measurement accuracy for target parameters. Traditional plot-to-track association methods solely rely on inaccurate instantaneous kinematic parameters, which are prone to erroneous associations when tracking closely spaced targets. To address this issue, this paper proposes a plot-to-track association method based on multi-frame Range-Doppler (R-D) spectrum echo amplitude distribution, which employs the joint matching of kinematic parameters and echo amplitude distribution to improve association accuracy. First, for each established track, the Sobel operator is used to calculate the gradient amplitudes of target echoes in each frame of the R-D spectrum, constructing a gradient amplitude sequence. After smoothing processing, kernel density estimation (KDE) is applied to establish the continuous probability density function (PDF) of the track’s gradient amplitude sequence. Next, an association gate is established centered on the predicted state of the target. The gradient amplitudes of candidate plots within the association gate at the current time step are computed, and the instantaneous PDF for each candidate plot is derived using the kernel density estimation method. Finally, the Kullback-Leibler (KL) divergence is utilized to measure the similarity between the instantaneous PDF of candidate plots and the continuous PDF of the current track. The candidate plot with the minimum KL divergence is selected for track update. Experimental verification of plot-to-track association was carried out by utilizing the measured maritime target data obtained from Compact HFSWR. The results indicate that, in comparison with the nearest neighbor data association method, the target tracking time achieved by this method has increased by 28.2%, with an average extension of 14.3 minutes, which improves the continuity of target tracking.

     

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