| 一种确定联合反演中相对权比的两步法 |
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| 引用本文： | 王乐洋,许才军,张朝玉.一种确定联合反演中相对权比的两步法[J].测绘学报,2012,41(1):19-0. |
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| 作者姓名： | 王乐洋 许才军 张朝玉 |
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| 作者单位： | 1. 东华理工大学测绘工程学院;2. 武汉大学测绘学院;3. 武汉大学 测绘学院; |
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| 基金项目： | 国家自然科学基金，国家863计划，国家公益地震行业科研专项，教育部博士点基金，东华理工大学地理空间信息采集处理及应用科技创新团队项目 |
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| 摘 要： | 提出确定联合反演中相对权比的两步法。第1步是不考虑相对权比,建立两类或多类数据的联合反演模型,通过赫尔墨特方差分量估计使得两类或多类观测数据的单位权方差相等（或单位权方差的比值接近1）,从而理论上确定观测数据合理的权阵,同时对不同种类数据进行归一化;第2步是在获得合理的观测数据权阵之后,建立顾及相对权比的联合反演模型,...
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| 关 键 词： | 联合反演 相对权比 两步法 赫尔墨特方差分量估计 单位权方差 |
| 收稿时间： | 2011-01-10 |
| 修稿时间： | 2011-07-28 |
A Two-step Method to Determine Relative Weight Ratio Factors in Joint Inversion |
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| WANG Leyang,XU Caijun,ZHANG Chaoyu.A Two-step Method to Determine Relative Weight Ratio Factors in Joint Inversion[J].Acta Geodaetica et Cartographica Sinica,2012,41(1):19-0. |
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| Authors: | WANG Leyang XU Caijun ZHANG Chaoyu |
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| Institution: | 1.Faculty of Geomatics,East China Institute of Technology,Nanchang 330013,China;2.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China |
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| Abstract: | The two-step method to determine relative weight ratio factors in joint inversion is derived.In the first step,without considering relative weight ratio factors,the joint inversion model of two or more kinds of observation data is established.Through Helmert method of variance components estimation,unit weight variances of observation data are equal(or the ratio of unit weight variances is approximate to 1),and the reasonable and theoretical weight matrix is determined.At the sametime,different kinds of observation data are normalized.In the second step,on the base of reasonable weight matrix,the joint inversion model considering relative weight ratio factors is established.The relative weight ratio factors are determined when objective function is minimum.Through simulated data and several solutions,the effectiveness and feasibility of two-step method are proved. |
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| Keywords: | joint inversion relative weight ratio factors two-step method Helmert method of variance components estimation unit weight variance |
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