矿区高精度GPS网平差的质量控制方法研究
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摘要
GPS定位技术现已成为建立矿区地表首级控制网的主要手段,而GPS网平差阶段的质量控制方法是影响整个矿区测量基准精度的重要因素,因而重点对受到粗差污染的矿区GPS网平差质量控制方法进行研究。针对传统抗差模型的缺点,在标准化残差构造的抗差模型基础上,对IGGⅢ权因子函数进行改进,并提出将迭代过程中的单位权中误差改为由中位函数计算,导出了相应的抗差迭代解式,给出了GPS网平差成果的检验方法。算例结果表明:该抗差模型能够有效抵御不同形式的粗差对平差结果的影响,为高精度矿区测量基准的建立提供了更为可靠的数据源。
GPS location technology has been main method for setting up surface 1st rank control mesh of mining area and quality control method of GPS mesh adjustment is a main factor influencing surveying precision of whole mining area.In order to overcome shortcoming of traditional robust model,this paper improved IGGⅢ weight factor function on the basis of robust model of standardization residual error construction,and put forward that changing unit weight error into median function in iteration.Corresponding robust iteration equation was derived and examination method of GPS mesh adjustment was present.Calculation result of examples showed that this robust model could effectively resist the influence of different forms of gross error on adjustment result and this provided reliable data resource for setting up high-precision surveying criterion of mining area.
GPS location technology has been main method for setting up surface 1st rank control mesh of mining area and quality control method of GPS mesh adjustment is a main factor influencing surveying precision of whole mining area.In order to overcome shortcoming of traditional robust model,this paper improved IGGⅢ weight factor function on the basis of robust model of standardization residual error construction,and put forward that changing unit weight error into median function in iteration.Corresponding robust iteration equation was derived and examination method of GPS mesh adjustment was present.Calculation result of examples showed that this robust model could effectively resist the influence of different forms of gross error on adjustment result and this provided reliable data resource for setting up high-precision surveying criterion of mining area.
引文
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[2]杨元喜,等.大地测量相关抗差估计理论[J].测绘学报,2002,31(2):95-99.
[3]Y.Yang,L.Song and T.Xu.Robust estimation for correlated obser-vations based on bifactor equivalent weights[J].J.Gedesy,2002,76:353-358.
[4]STIGER SM.Do Robust Estimators Work with Real Data[J].An-nals of statistics,1977,5(6):1055-1098.
[5]ROUSSEEUW P.Least Median of Squares Regression[J].J.A-merican Statistical Association.1984,79(14):871-878.
[6]张华海,高井祥,等.矿区GPS网坐标转换的高崩溃污染率抗差估计[J].地壳形变与地震,1998,18(4):22-29.
[7]陶本藻,姚宜斌,施闯.基于相关分析的粗差可区分性[J].武汉大学学报(信息科学版),2004,29(10).
[8]余学祥,吕伟才.基于标准化残差的相关观测抗差估计模型[J].武汉测绘科技大学学报,1999,24(1):75-78.
[9]黄观文.GPS精密单点定位和高精度GPS基线网平差研究与软件实现[D].长安:长安大学,2009.
[10]李征航,黄劲松.GPS测量与数据处理[M].武汉:武汉大学出版社,2005.
[11]崔希璋,於宗俦,陶本藻,等.广义测量平差(第二版)[M].武汉:武汉大学出版社,2009.
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