基于黄金分割法的卫星导航信号镜面反射点预测研究

Prediction of specular reflection point of satellite navigation signal based on golden selection search

针对利用全球导航卫星系统(GNSS)反射信号进行遥感时镜面反射点位置获取精度低、迭代次数多、计算速度慢的问题,提出了基于黄金分割法预测镜面反射点的预测方法。研究了镜面反射点的特性及其几何关系,通过计算仿真,发现镜面反射点预测是一维单谷凸函数极值搜索问题。将卫星发射机和接收机的位置作为搜索区间,根据黄金分割法的搜索原则插入新的搜索点,依照路径最短原则逐步缩小搜索区间来获取镜面反射点的位置。实验仿真结果表明,所提出的算法具有精度高、反射路径最短、迭代次数少、收敛效率高以及运算速度快的特点。

Aiming at the problems of use of Global Navigation Satellite System （GNSS） reflection signals for remote sensing such as low precision in specular reflection point predicting, more iterations, and slow in calculation, a new algorithm for specular reflection point prediction based on golden section search was proposed. The characteristics of the specular reflection point and their basic geometric relationship were studied. The calculating simulation results show that the specular reflection point prediction is a single dimensional anti-unimodal convex function search prob- lem. The proposed algorithm takes the positions of satellite transmitter and a receiver as a search range, while inser- ting new search points based on the golden section search method. The position of the specular reflection point is calculated by gradually narrowing the search domain in accordance with the principle of the shortest path. The simulation results show that the proposed algorithm has characteristics of high precision, shortest path reflection, fewer iterations, higher efficiency convergence and fast speed.