加权总体最小二乘方法在ITRF转换中的应用  

APPLICATION OF WEIGHTED TOTAL LEAST SQUARES IN ITRF TRANSFORMATION

作　　者：陆珏[1] 陈义[1,2] 郑波 

机构地区：[1]同济大学测量与国土信息工程系,上海200092 [2]现代工程测量国家测绘局重点实验室,上海200092 [3]上海市地籍事务中心 [4]上海市土地登记事务中心,上海200003

出　　处：《大地测量与地球动力学》2011年第4期84-89,共6页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41074017)

摘　　要：针对ITRF转换中,两套坐标系下的点坐标值均存在误差,且各点之间精度不等、甚至相关的情况,提出利用加权总体最小二乘方法对转换参数进行解算。通过模拟数据和真实数据的解算证明了加权总体最小二乘方法在ITRF转换中的适用性,与其他方法相比,利用加权总体最小二乘方法能够得到准确的、更为合理的转换参数。According to the fact that the points in two transformational coordinate systems are all affected by random errors, which make the observation vector and coefficient matrix in error equations both include errors, and even, these observations and elements in coefficient matrix may be heteroscedastic and correlated. We employ the weighted total least squares solution to calculate the parameters of ITRF transformation. To demonstrate the perform- ance and efficiency of the application of WTLS solution in coordinate transformation, the simulation and real experi- ments are implemented. The results show that the WTLS solution is correct and more reasonable.

关 键 词：加权总体最小二乘(WTLS) 误差(EIV)模型 协因数阵 坐标转换 布尔莎模型 

分 类 号：P207[天文地球—测绘科学与技术]