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## A Two-step Method to Determine Relative Weight Ratio Factors in Joint Inversion

WANG Leyang1,XU Caijun2,ZHANG Chaoyu2 1.Faculty of Geomatics,East China Institute of Technology,Nanchang 330013,China;2.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China
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.
【Fund】： 国家自然科学基金(40874003;40974017;41074007;41021061);; 国家863计划(2009AA12Z317);; 国家公益地震行业科研专项(200808080);; 教育部博士点基金(20090141110055);; 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
【CateGory Index】： P207
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