基于总体最小二乘法的多普勒观测值测速算法  

The algorithm of the velocity determination by using the Doppler shift measurements based on the total least-squares

作　　者：李克昭[1] 王云凯[1] 丁安民[1] 李志伟[1] 

机构地区：[1]河南理工大学测绘与国土信息工程学院,河南焦作454000

出　　处：《河南理工大学学报（自然科学版）》2016年第6期810-814,共5页Journal of Henan Polytechnic University（Natural Science）

基　　金：国家自然科学基金资助项目(41202245;41272373);河南理工大学骨干教师科研项目(72105/090)

摘　　要：为解决最小二乘法在数据处理时只考虑观测矩阵的误差,没有考虑系数阵的误差较大时其计算结果不理想等问题,把总体最小二乘法引入到多普勒测速计算,推导并给出了基于总体最小二乘法的求解模型,并利用采集的实验数据进行了验证计算。运用总体最小二乘法进行数据处理,能够同时考虑模型中自变量和因变量的误差,这就很好地解决了基于最小二乘法不能顾及系数矩阵误差的问题。实验结果表明,基于总体最小二乘法的计算结果要优于基于最小二乘法的结果,其解算得到的速度误差大部分小于0.15 m/s。In order to solve the problem that the calculation result of the least square method is not ideal in dataprocessing when the error of observation matrix is only considered and the large error of coefficient matrix isnot considered, the total least-squares algorithm is adopted to calculate Doppler shift measurements, and thecalculation model was derived and given, and the experiments of the calculation model were tested. Becausethe total least-squares algorithm can consider both the errors of the independent variable and the errors of thedependent variable, the defect of the least-squares algorithm is conquered. The results show that the calculationresult of the total least-squares algorithm is prior to that of the least-squares algorithm, and most of the errorsof the velocity are less than 0. 15 m/ s.

关 键 词：总体最小二乘 多普勒观测值 测速 最小二乘 

分 类 号：P228[天文地球—大地测量学与测量工程]