短基线无源多站时差定位精度分析及快速计算方法

Short-baseline passive multi-station time difference location accuracy analysis and fast calculation method

基于无源多站时差定位数学模型,针对短基线远距离定位场景,给出时差(TDOA)测量误差、站址测量误差(考虑主站与辅站之间的相对位置误差)等参数对GDOP的定量分析及其快速计算方法,由此快速计算出参数变化后的GDOP。通过仿真,比较快速计算得到的GDOP与理论GDOP的误差,发现当TDOA测量误差初值较小时,快速计算的误差小于4%;当TDOA测量误差初值在20 ns以上时,快速计算的误差小于0.3%;当相对位置误差初值不小于1 m时,快速计算的误差小于0.2%。快速计算GDOP在实际工程应用中有重要的指导意义。

Based on the mathematical model of passive multi-station time difference location,this paper gives the quantitative analysis and fast calculation method of GDOP by TDOA measurement error and station location measurement error(considering the relative position error between the master station and the auxiliary station)for the short-baseline long-distance location scene,which can quickly calculate the GDOP after the parameter changes.Through simulation,compare the error between the fast calculated GDOP and the theoretical GDOP,it is found that when the initial value of TDOA measurement error is small,the error of fast calculation is less than 4%,when the initial value of TDOA measurement error is more than 20ns,the error of fast calculation is less than 0.3%;when the initial value of the relative position error is not less than 1m,the error of fast calculation is less than 0.2%.Fast calculation of GDOP has important guiding significance in practical engineering application.