基于两种有偏估计的GPS高程拟合精度优化方法  

Comparison of GPS Height Fitting Accuracy Optimization Methods

作　　者：富翔宇 刘亚静 FU Xiangyu;LIU Yajing(North China University of Science and Technology,Tangshan 063210,China)

机构地区：[1]华北理工大学,河北唐山063210

出　　处：《城市勘测》2023年第2期99-102,106,共5页Urban Geotechnical Investigation & Surveying

基　　金：河北省自然科学基金项目(D2019209598)。

摘　　要：为了解决法方程病态从而导致二次曲面高程拟合精度降低的问题,本文采用了岭估计和广义岭估计与二次曲面法结合,并且优化了岭估计的岭参数选取方法,最后与传统的最小二乘法估值进行对比分析。实验对华北理工大学GPS高程数据进行拟合,结果表明:岭参数的选取存在更严谨的取值方法;岭估计高程拟合结果优于最小二乘估计;广义岭估计均优于岭估计和最小二乘估计。实验结果为GPS高程拟合精度的提升提供了依据。In order to solve the problem that the normal equation is ill-conditioned,which leads to the reduction of the accuracy of the quadratic surface elevation fitting,this paper adopts the ridge estimation and the generalized ridge estimation and uses the quadratic surface method,and optimizes the ridge parameter selection method for the ridge estimation.The least-squares estimates were compared and analyzed.The experiment is carried out on the GPS elevation data of North China University of Technology,and the results show that there is a more rigorous method for the selection of ridge parameters;the height fitting results of ridge estimation are better than the least square estimation;the generalized ridge estimation is better than the ridge estimation and the minimum quadratic estimate.The experimental results provide a basis for improving the accuracy of GPS elevation fitting.

关 键 词：高程拟合 二次曲面法 岭估计 广义岭估计 

分 类 号：P207.2[天文地球—测绘科学与技术]