Two GNSS-R specular reflection point search algorithms
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摘要: 全球卫星导航系统反射(GNSS-R)技术对海洋表面地形精确信息的提取和研究具有重要意义,针对镜点搜索的精度需求,本文提出2种镜面反射点搜索算法. 首先,在分析基本反射关系的基础上,提出一种基于斐波那契法的搜索算法,并从数论的角度证明其相对黄金分割法的优越性. 其次,提出一种基于极值求导的做法,[JP2]建立变量K的距离和函数,这种做法省略了传统做法中的不断迭代过程. 最后,通过导航模拟器生成全球卫星导航系统（GNSS）卫星和接收机坐标,并利用MATLAB进行仿真. 仿真结果表明,斐波那契法相较黄金分割有一定的提升,极值求导做法能够计算出镜面反射点的位置信息,并且摒弃了传统的不断迭代步骤.Abstract: Global navigation satellite reflection system (GNSS-R) is of great significance for the extraction and research of accurate information of ocean surface topography. In this paper, two specular reflection point search algorithms are proposed for the accuracy of specular point search. Firstly, based on the analysis of the basic reflection relation, a search algorithm based on Fibonacci method is proposed, and its superiority over the golden section method is proved from the perspective of number theory. Secondly, a method based on extreme derivative is proposed to establish the distance and function of the variable K, which omits the iterative process in the traditional method. Finally, GNSS satellite and receiver coordinates are generated by navigation simulator, and MATLAB is used for simulation. The simulation results show that the Fibonacci method is better than the Golden Section, and the extreme derivative method can calculate the position information of the specular reflection point, and the traditional iterative step is abandoned.
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