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GPS广播星历参数拟合的雅可比矩阵数值导数计算方法
引用本文:邢志成,王解先. GPS广播星历参数拟合的雅可比矩阵数值导数计算方法[J]. 全球定位系统, 2012, 37(1): 28-31
作者姓名:邢志成  王解先
作者单位:同济大学土木工程学院测量与国土信息工程系,上海,200092
摘    要:利用国际地球动力学服务组织(IGS)精密星历的卫星坐标数据,根据最小二乘平差原理拟合出GPS广播星历的15个参数。在求解过程中采用数值导数方法计算参数的雅可比矩阵,通过计算验证了该算法在参数拟合中的正确性;对数值导数计算中增量的选取做了适当的分析,得出了一些有益的结论。

关 键 词:全球定位系统  广播星历  参数拟合  雅可比矩阵  数值导数

Method of Calculating Numerical Derivative of Jacobin Matrix for Fitting Algorithm of GPS Broadcast Ephemeris Parameters
XING Zhi-cheng,WANG Xie-xian. Method of Calculating Numerical Derivative of Jacobin Matrix for Fitting Algorithm of GPS Broadcast Ephemeris Parameters[J]. Gnss World of China, 2012, 37(1): 28-31
Authors:XING Zhi-cheng  WANG Xie-xian
Affiliation:( Tongji University School of Civil Engineering Department of Surveying and Land Information Engineering, Shanghai 200092, China)
Abstract:According to the least square algorithm, the 15 GPS broadcast ephemeris pa- rameters are fit out by related satellites' coordinate data from IGS Precise ephemeris in this paper. The method of calculating numerical derivative is used to calculate the Jacobin matrix of ephemeris parameters. Test results show that the formulas and algorithm are correct. Fi- nally, some conclusions are drawn by the analysis of increments.
Keywords:GPS  broadcast ephemeris  fitting  Jacobin matrix  numerical derivative
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