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双步抗差估计及其应用
引用本文:刘兴春,仲健民,孙立军.双步抗差估计及其应用[J].全球定位系统,2010,35(2):33-35.
作者姓名:刘兴春  仲健民  孙立军
作者单位:65015部队,辽宁,大连,116031
摘    要:抗差估计是一种可以有效抵制粗差影响的平差方法。但权因子函数的临界值定值问题较为困难,若选取不当,会造成法方程系数阵秩亏或粗差观测值的影响未能完全消除,从而导致平差无法进行或抗差不彻底。针对上述问题提出了一种改进型抗差估计法一双步抗差估计法,并通过对一边角网和一实测GPS向量网进行的试算,验证了双步抗差估计的优越性。

关 键 词:LS估计  双步抗差估计  等价权  残差标准化

Two-step Robust Estimation and Application
LIU Xing-chun,ZHONG Jian-min,SUN Li-jun.Two-step Robust Estimation and Application[J].Gnss World of China,2010,35(2):33-35.
Authors:LIU Xing-chun  ZHONG Jian-min  SUN Li-jun
Institution:(65015 Troops, Dalian Liaoing 116031,China)
Abstract:Robust estimation is an effective adjusting method of resisting gross error. But it is difficult to determine the critical value of weighting factor function. It could make the rank defect of normal equation coefficient matrix and incomplete removal of gross error influence for inappropriate choice of the critical value of weighting factor function, which result unable adjusting or halfway robust estimation. For these problems, in this paper, two-step robust estimation which is a improved robust estimation is proposed and the advantage is verified through the trial of a triangulation network and actual GPS vector network.
Keywords:LS estimation  two-step robust estimation  equivalence weight residual standardization
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