Huber M估计在CPIII高程网平差中的抗差性分析  

Robustness Analysis of Huber M Estimation in CPIII Elevation Network Adjustment

作　　者：林飞[1] 史国强 LIN Fei;SHI Guoqiang(Hangzhou Geotechnical Engineering&Surveying Research Institute Co.,Ltd.,Hangzhou 310012,China)

机构地区：[1]杭州市勘测设计研究院有限公司,浙江杭州310012

出　　处：《地理空间信息》2023年第2期158-160,共3页Geospatial Information

基　　金：杭州市钱江新城投资集团有限公司科创基金项目(QT202208A001)。

摘　　要：高铁CPIII高程网作为一种高精度水准网,其平差一般都是通过最小二乘法求取,然而因为最小二乘估计不具备抗粗差的能力,如果测量数据中存在粗差,则计算结果将会受到严重的影响。因此,引入基于Huber函数的M估计进行CPIII高程控制网的粗差探测,并通过给Huber法的调和系数赋予不同的值,来分析调和系数的改变对Huber法的影响。CPIII elevation network in high-speed railway is a precision leveling network. The result of leveling network can be obtained by the least squares method. However, if there are some gross errors in the measurement data, the results will be affected seriously because the least squares estimation does not have the ability to against gross errors. In this paper, we introduced Huber M estimation into the surveying adjustment of CPIII elevation network to achieve the target that detecting and eliminating gross errors, and analyzed the influence of harmonic coefficient’s change on Huber method by assigning different values to harmonic coefficient.

关 键 词：CPIII高程控制网 粗差 Huber法 调和系数 

分 类 号：P258[天文地球—测绘科学与技术]