LIU Qing-kun，SUN Guang-hui，CUI Xun-xue.Research on Direction Finding Algorithm of Curve Intersection Based on Time Difference of Arrival[J].Journal of Chongqing Technology and Business University(Natural Science Edition）,2021,38(4):10-14

Research on Direction Finding Algorithm of Curve Intersection Based on Time Difference of Arrival

DOI：

 作者 单位 刘青琨， 孙广慧， 崔逊学 安徽理工大学 电气与信息工程学院，安徽 淮南 232001

针对传统的基于到达时间差的曲线交叉点测向精度不高、权值确定困难的问题，提出一种采用旋转坐标系求出交叉点，根据几何精度因子GDOP来加权不同交叉点参量的方法；通过坐标系旋转，获得两个非线性方程关于两个未知变量的解析解，即方位角和俯仰角，改善了曲线交叉点测向精度不高的问题；与传统的加权方法相比，采用GDOP指标综合加权估计的WI法对目标位置的估计更加准确；仿真验证了采用3种不同加权方式下算法的性能，根据实验结果得出：采用综合加权估计的WI法更能接近克拉美罗下界，提高了对交叉点估计的精度，具有较高的定位性能。

In order to solve the problems of low precision and difficult weight determination of the traditional direction finding method based on time difference of arrival， a method is proposed to calculate the intersection point by rotating coordinate system and weighting different intersection parameters according to GDOP. Through the rotation of coordinate system， the analytic solutions of two nonlinear equations about two unknown variables， namely azimuth angle and elevation angle， are obtained， which improves the problem of low accuracy of direction finding at curve intersection； compared with the traditional weighted method， the WI method with GDOP index comprehensive weighted estimation is more accurate for target position estimation. Simulation results show that the performance of the algorithm with three different weighting methods is verified. According to the experimental results， the WI method with comprehensive weighted estimation is closer to the Cramer-Rao Lower Bound， which improves the accuracy of intersection estimation and which has higher positioning performance.