一种基于PEIV模型的GNSS高程拟合解法  

A GNSS elevation fitting solution based on PEIV model

作　　者：邱德超 QIU Dechao(Yunfu City Natural Resources Comprehensive Service Center,Yunfu,Guangdong 527300,China)

机构地区：[1]云浮市自然资源综合服务中心,广东云浮527300

出　　处：《北京测绘》2024年第10期1504-1507,共4页Beijing Surveying and Mapping

摘　　要：采用二次曲面函数拟合全球卫星导航系统(GNSS)高程时,系数矩阵中含有观测坐标,所以系数矩阵同样存在误差,故采用总体最小二乘拟合GNSS高程更加合理。但系数矩阵不同位置有相同的元素,为保证这些相同元素有相同的改正数,本文提出了基于部分变量含误差(PEIV)模型的GNSS高程拟合解法,该方法可以保证相同元素的改正数一致。最后通过模拟算例和实例算例分析发现,本文解法与加权总体最小二乘(WTLS)解算结果一致,验证了本文解法的可行性。When the quadratic surface function is used to fit the global navigation satellite system(GNSS)elevation,the coefficient matrix contains plane coordinates,so the coefficient matrix has errors.Therefore,it is more reasonable to use the overall least squares to fit the GNSS elevation.However,the coefficient matrix has the same elements at different positions.In order to ensure that these same elements have the same correction number,this paper proposed a GNSS elevation fitting solution based on the partial errors in variables(PEIV)model,which could well solve the above problems.Finally,through the analysis of simulation examples and practical examples,it is found that the solution in this paper is consistent with the weighted total least squares(WTLS)solution,which verifies the feasibility of the solution in this paper.

关 键 词：部分变量含误差(PEIV)模型 全球卫星导航系统(GNSS)高程 加权总体最小二乘 曲面拟合 

分 类 号：P228.4[天文地球—大地测量学与测量工程]