概率误差椭圆计算的推导与仿真

Derivation and Simulation of Elliptical Error Probable Calculation

针对概率误差椭圆计算问题,从定位误差协方差矩阵为对角阵的特殊情形出发,基于定位误差概率密度分布函数坐标系转换的思路,推导一般对称正定协方差矩阵的概率误差椭圆计算公式。同时选择平面三站时差定位作为测试场景,通过蒙特卡洛仿真,验证概率误差椭圆计算公式的准确性,可用于各种体制的目标定位系统的精度分析和数据处理等使用场景。

For elliptical error probable calculation problem,some researches are done from the special case of diagonal location error covariance matrix.Based on the framework of probability density function coordinate transform,elliptical error probable calculation is deduced for the universal symmetric positive definite location error covariance matrix.Time difference of arrival location is used to test elliptical error probable calculation formula.Mente-Carlo simulation shows that the proposed elliptical error probable calculation formula is reliable,which can be applied to many kinds of target location systems design,such as precision analysis,data processing and so on.