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
Key words
partial errors in variables(PEIV)model/global navigation satellite system(GNSS)elevation/weighted total least squares(WTLS)/surface fitting