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平差系统模型误差补偿的配置法
引用本文:李明峰,陶本藻. 平差系统模型误差补偿的配置法[J]. 大地测量与地球动力学, 2004, 24(3): 11-14
作者姓名:李明峰  陶本藻
作者单位:[1]南京工业大学测绘工程与国土规划研究所,南京210009 [2]武汉大学测绘学院地球空间环境与大地测量教育部重点实验室,武汉430079
基金项目:武汉大学地球空间环境与大地测量教育部重点实验室测绘基础研究基金项目 (0 2 -0 9-0 1)
摘    要:利用大地测量数据分析地壳形变所建立的平差系统,不可避免地存在模型误差。给出了估计模型偏差的带权均方误差公式,提出了模型误差的识别、先验协方差的确定以及用最小二乘配置法对平差系统模型误差的补偿方法。

关 键 词:平差系统  模型误差  误差补偿  最小二乘配置

Collocation of model error compensation of an adjustment system
Li Mingfeng) and Tao Benzao+ ) Institute of Surveying Engineering and Land Planning,Nanjing University of Technology,Nanjing ) The Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,School of Geodesy and Geomatics,Wuhan University,Wuhan. Collocation of model error compensation of an adjustment system[J]. Journal of Geodesy and Geodynamics, 2004, 24(3): 11-14
Authors:Li Mingfeng)  Tao Benzao+ ) Institute of Surveying Engineering  Land Planning  Nanjing University of Technology  Nanjing ) The Key Laboratory of Geospace Environment  Geodesy  Ministry of Education  School of Geodesy  Geomatics  Wuhan University  Wuhan
Affiliation:Li Mingfeng1) and Tao Benzao+2 1) Institute of Surveying Engineering and Land Planning,Nanjing University of Technology,Nanjing 210009 2) The Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,School of Geodesy and Geomatics,Wuhan University,Wuhan 430079
Abstract:It is unavoidable that the model errors exist in the adjustment system which is established with geodetic data to analyze crustal deformation because the mathematical and physical relationship between observations and the undetermined parameters is incompletely expressed in the established functional model.In this model,the formula of mean square error with weight to estimate model deviation is derived in detail.Both the method of distinguishing model error and that of determining the magnitude of priori co variance are put forward and then method of model error compensation of the adjustment system with the least squares collocation is suggested. Finally,the steps to process the model errors existing in two kinds of adjustment systems are suggested.
Keywords:adjustment system   model error   error compensation   least squares collocation  estimate model deviation
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