小样本球面地面条件下的三维无源定位算法

A Three-dimensional Passive Location Algorithm Based on Small Samples on Spherical Surface

主要考虑移动目标的小样本定位概率方法。给定侦查机的经纬度和飞行高度随时间的变化序列、到达角信息(到达方向角/到达俯仰角)的条件下,利用雷达通信过程空间球面地面几何关系和等概率曲线理论,研究无源定位侦查目标的经纬度和高度随时间变化的关系,同时给出了算法定位误差的计算方法。由于传统平坦地面无源定位算法没有考虑地球表面的曲率,本文给出的无源定位算法充分考虑了地面曲率对定位精度的影响。理论证明,传统的无源定位算法是本文算法的一阶近似。仿真实验验证了所提算法的正确性和有效性,同时表明本文算法比传统定位算法精度高。

In this paper,we focus on studying the small sample passive location probability method of a moving target.Based on the known conditions about the sequence of latitude and longitude change with time,the sequence of flight altitude change with time,the information of the angle of arrival(azimuth angle/angle of pitch),we propose a novel passive location algorithm by virtue of the equiprobability curve theory.And we present an algorithm of error estimation.However,the traditional flat ground passive location algorithms do not consider the effect of the curvature of the earth′s surface.In this paper,we consider the effect of the curvature of the earth′s surface on the accuracy of passive location.Moreover,theoretical analysis shows that the traditional location method is the first order approximation of our algorithm.Numerical experiments confirm that our algorithm has higher accuracy than the traditional location method.