四基站时差和牛顿迭代法的三维定位算法
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摘要
结合时差定位、球坐标系转换法和牛顿迭代法,针对四基站时差定位提出一种联合定位算法。利用时差定位和球坐标系与直角坐标系的转换关系对海面空中目标进行定位,分析不同布站方式对定位精度的影响,并以联合算法的结果作为牛顿迭代法的初值进行迭代。通过对目标在5km高空匀速直线行驶40km进行仿真,得到均方根误差小于45m的定位精度。此方法不存在定位模糊或无解问题,且当目标与基站距离越大,其定位精度越优于最小二乘算法。
In order to solve the problem of ambiguity or no solution problem caused by the 4-station 3Dlocalization algorithm and low accuracy of spherical coordinate transformation,a method combined with Time Difference of Arrival location,spherical coordinate conversion and the Newton iteration method is proposed.By using Time Difference method and spherical coordinate conversion time to locate the aerial targets on the sea,analyzing the positioning accuracy effect of different angle on auxiliary stations,and taking the joint algorithm results as the initial value of the Newton iterative method,the positioning accuracy of the system can be further improved.A Matlab simulation on the target at an altitude of 5km of uniform motion in a straight line running40 km is carried out and the positioning accuracy is achieved within 45 m.This method does not have ambiguity or no solution problem,and can effectively improve the positioning accuracy of the system.The greater the length between the target and the station,the better positioning accuracy can be achieved by this method compared to the least square algorithm.
引文
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