基于距离和—测向交汇定位的三坐标外辐射源定位精度分析

    Precision Analysis of Three-coordinate Passive Coherent Location Based on Range-sum and Direction Intersection Positioning

    • 摘要: 针对采用目标距离和―测向交汇定位原理的外辐射源雷达,根据目标距离和及目标方位测量方程,通过一种基于误差协方差的分析框架,推导了两坐标情况下目标定位精度的解析形式,将其直接表达为目标位置、距离和测量精度、方位测量精度及收发站址测量精度的函数。采用相同的方法,增加了目标俯仰测量方程,推导得到了三坐标情况下目标定位精度的解析形式,并在此基础上,从理论上分析了两坐标、三坐标情况下目标定位精度空间分布的典型特征。在三坐标外辐射源雷达“空发地收”“天发地收”等应用场景下,设置典型仿真参数,并进行了仿真实验。在典型场景下定位精度几何分布的仿真结果与理论分析相吻合,验证了所提分析方法及目标定位精度解析结果的有效性。

       

      Abstract: For passive coherent location radar based on range-sum and direction intersection positioning, according to the measurement equations of range-sum and direction of the target, an analytical form of the two-coordinate location accuracy is derived as a function of the target location, the range-sum measurement precision, the direction measurement precision, and the site location measurement precisions of the transmitter/receiver station, via an analysis framework based on the error covariance. Using the same method, the analytical form of the three-coordinate location accuracy is thereafter also deduced by adding the measurement equation of target elevation. Based on the analytical forms of the location accuracy, the typical spatial distributions of the location accuracy are analyzed theoretically for both the two-coordinate and three-coordinate cases. In the typical application scenarios of three-coordinate passive coherent location radar, such as "air-to-ground" and "space-to-ground" configurations, the simulations are carried out with reasonable parameters. The simulation results of geometric dilution of precision coincide with the theoretical analysis, which validates the effectiveness of the proposed analysis method and the derived analytical form for target location accuracy.

       

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