考虑地球曲率情况下测向定位系统中的最优交会角

Optimum Cut Angle in Bearing-only Location System with Consideration of Earth Curvature

考虑地球曲率的情况下,研究了不同量测误差条件和最小圆概率误差(CEP)意义下被动测向交叉定位系统中的最优交会角。首先,得到了与圆概率误差对应的目标函数的稳定点。然后,基于二元函数的极值性检验得到了最优交会角。在最小圆概率误差意义下,最优交会角与2部被动传感器的测角误差方差倍数k有关且仅当该倍数≥0.5时,可行的最优交会角才存在。得出的结论对实现多个被动传感器的优化选择和合理布站,提高目标定位精度有一定的理论和实际意义。

With consideration of earth curvature,this paper studies the optimum cut angle in bearing-only location system with different measurement accuracies and minimum circular error probability(CEP).First,the stationary points of objective function which correspond to the CEP are obtained,and then the optimal cut angles are given based on second-order derivative test.In the sense of the minimum CEP,the optimum cut angle is relevant to k,the ratio of the smaller angle measurement variance to the larger angle measurement variance,and the feasible optimum cut angle can be obtained only when k is greater than or equal to0.5.The obtained results can be used for reference in optimal constellation of multiple passive sensors to obtain high location accuracy.