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利用多元回归方法改正对流层延迟插值误差
引用本文:孙晓,张立辉,王勇,杨晶. 利用多元回归方法改正对流层延迟插值误差[J]. 大地测量与地球动力学, 2012, 32(Z1): 98-102
作者姓名:孙晓  张立辉  王勇  杨晶
作者单位:1. 中南大学土木工程学院,长沙,410083
2. 河北联合大学矿业工程学院,唐山,063009
3. 河北省地震工程研究中心,唐山,063009
4. 河北工程技术高等专科学校水利工程系,沧州,061001
基金项目:河北省自然科学基金(D2010000921)
摘    要:直接利用克里金插值得到的对流层延迟在地形变化起伏大的地区效果不好,提出利用多元回归方法改正克里金直接插值所带来的插值误差.以美国南加州GPS网为例,对海拔差异不同的测区分别进行实验.在具有不同改正因子的方程中,同时具有经、纬度、海拔因子的方程具有较其他方程更好的改正效果,在测站海拔分布差异较小的测区(小于500 m),该方法对插值误差有较好的改正效果,精度达到厘米级,甚至毫米级.

关 键 词:对流层延迟  插值  克里金方法  多元回归  改正因子

CORRECTION OF INTERPOLATION FROM CALCULATION OF TROPOSPHERIC DELAY WITH MULTIPLE REGRESSIONS METHOD
Sun Xiao , Zhang Lihui , Wang Yong , Yang Jing. CORRECTION OF INTERPOLATION FROM CALCULATION OF TROPOSPHERIC DELAY WITH MULTIPLE REGRESSIONS METHOD[J]. Journal of Geodesy and Geodynamics, 2012, 32(Z1): 98-102
Authors:Sun Xiao    Zhang Lihui    Wang Yong    Yang Jing
Affiliation:1)School of Civil Engineering,Central South University,Changsha 4100832)College of Mining Engineering,Hebei United University,Tangshan 0630093)Earthquake Engineering Research Center of Hebei Province,Tangshan 0630094)Department of Water Project,hebei engineering and Technical College,Cangzhou 061001
Abstract:Seeing that the effect of the interpolation of tropospheric delay with available Kriging method is not good in undulating terrain areas,so the method of multiple regression to correct the errors of Kriging interpolation was proposed.The experiments,as example,taking the data of Southern California GPS network were carried out in different elevation areas.Among the equations of different correction factors,the equation including the factors of longitude,latitude and altitude has better effect than other equations.In the areas of elevation difference of no more than 500 meters,the accurcy with this method can reach to centimeters level,even milimeters level.
Keywords:tropospheric delay  interpolation  Kriging method  multiple regressions  correction factor
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