大地直角坐标系到GPS坐标系的直接转换法研究  

Study on Direct Transforming from Geodetic Rectangular Coordinate System to GPS Coordinate System

作　　者：周凯[1] 段芳芳[1] 任强[1] 

机构地区：[1]西安电子工程研究所,西安710100

出　　处：《火控雷达技术》2013年第1期38-41,共4页Fire Control Radar Technology

摘　　要：本文从大地坐标系和GPS坐标系的定义入手,通过严格的几何关系,推导出了从大地直角坐标系到GPS坐标系转换的直接算法,将问题归结为求解一个一元四次方程。接着给出了求解一元四次方程的费拉里算法,并通过MATLAB符号函数库对算法进行了仿真。仿真结果表明了该算法的可行性,并有效解决了迭代算法的不确定性和运算量大的问题。Starting from definitions of geodetic rectangular coordinate system and GPS coordinate system, a direct algorithm for transforming geodetic rectangular coordinate system to GPS coordinate system is deduced based on strict geometrical relation ; and coordinate transform problem is converted to a problem of solving a quartic equation ; Ferrari algorithm to solve the quartic equation is given. Algorithm simulation by way of MATLAB sign function is conducted; simulation resuhs indicate that this algorithm is feasible, disadvantages of uncertainty and high compu- tation load caused by iteration algorithm can be overcome effectively.

关 键 词：大地直角坐标系 GPS坐标系 一元四次方程 MATLAB符号函数 

分 类 号：TN74[电子电信—电路与系统]