研究了存在系统误差时修正极坐标系(MPC)下的雷达与电子支援措施(ESM)航迹关联问题。系统误差导致MPC下雷达和ESM的角度估计产生偏移,而对角度变化率、距变率与距离的比值(ITG)的估计影响不大;结合非中心卡方分布的知识,分析了雷达与ESM的测量误差对非中心参数和正确关联概率的影响;提出了一种基于积分重合度的雷达与ESM航迹对准关联算法。首先将雷达与ESM的目标映射到角度-角度变化率空间,分别得到了雷达与ESM的目标曲线,然后对两目标曲线求积分重合度,估计出雷达与ESM测角系统误差的偏移量,对偏移量补偿后进行雷达与ESM的航迹关联。仿真结果表明,本文所提算法能有效地提高存在系统误差时雷达与ESM正确航迹关联概率。
This paper conducts research on the problem of track association of radar and electronic support measurements (ESM) with systematic errors existing in modified polar coordinates (MPC). Systematic errors can cause a mass motion of bearing estimates of radar and ESM in MPC, but only slight influence on the estimate of bearing rate and inverse-time-to-go (ITG). By referring to knowledge of non-central chi-squared distribution, the effect of measurement errors of radar and ESM on non-central parameters and probability of correct association are analyzed. A track alignment-association algorithm for ra- dar and ESM based on overlap ratio of integral is proposed. The tracks of radar and ESM are mapped into the bearing-bear- ing rate space to gain the curves of radar and ESM. Then, the overlap ratio of integral of the target curves is calculated, and the mass of bearing systematic errors of radar and ESM is estimated. The track association is achieved after the mass is compensated. Simulation results show that probability of correct association can be improved effectively by the proposed al- gorithm in the presence of systematic errors.