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基于QR分解的观测结构分析

Analysis to Observation Construction Based on QR Decomposition

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【作者】 刘纪敏卢秀山冯遵德王晓宁

【Author】 LIU Ji-min1,LU Xiu-shan1,FENG Zun-de2,WANG Xiao-ning3(1.Geomatics College,Shandong University of Science and Technology,Qingdao 266510,China;2.School of Geodesy and Geomatics,Xuzhou Normal University,Xuzhou 221116,China;3.College of Information and Electrical Engineering, Shandong University of Science and Technology,Qingdao 266510,China)

【机构】 山东科技大学测绘科学与工程学院徐州师范大学测绘学院山东科技大学信电学院

【摘要】 通过对观测结构的研究探讨了观测的基本机理;提出了观测结构的6种形态,从根本上分析了病态性存在的原因。利用观测矩阵的QR分解结果,将对观测结构的分析过渡到对上三角矩阵的分析与计算。由此对观测结构进行了深入分析与度量,能够对观测结构的各种形态进行推断,进而对系统的Ⅰ类及Ⅱ类病态性作出推断与估计。

【Abstract】 According to the research of observation structure,the basic mechanism of observation has been discussed,six shapes of observation structure been brought forward,and the reason why the ill-conditioning exists been analysised from foundation.Making use of the result of QR decomposition,it can transit the diagnosis of observation structure into the analysis and calculation of upper triangular matrix,so that the observation structure can be analysised and measured deeply.The deduction on the various shapes from observation structure can also be carried out,then deduction and estimation can be made to systemⅠill-conditioning and Ⅱ ill-conditioning.

【基金】 国家自然科学基金资助项目(40474005)
  • 【文献出处】 测绘科学技术学报 ,Journal of Geomatics Science and Technology , 编辑部邮箱 ,2009年06期
  • 【分类号】P207
  • 【下载频次】137
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