摘要
GNSS高程拟合多建立在经典Gauss-Markov模型的基础上,没有考虑各观测值的影响因子,最小二乘解不是最优。为得到最优的最小二乘解,在二次曲面拟合模型的基础上提出了直接定权的方法,探讨了各类加权最小二乘模型的差异性,通过实验,将直接定权法与选权迭代法及加权递推最小二乘法进行了对比分析。结果表明,各种模型精度差异较小,直接定权简单实用,可在实际工程中推广应用。
Generally,the GNSS height fitting is based on the classic Gauss- Markov model,in which the least square solution is not optimal because the influential factors of each observed value are ignored. The paper puts forward a direct weighing determining method on the basis of quadric surface fitting model by discussing the differences among several types of weighted least squares models,so as to obtain the optimal solution. The direct weighing method is compared with iteration method with variable weights and the recursive weighted least squares method by experiments,and the results show that there is little difference in the accuracy of above three methods,the direct weighing determining method is simple and practical for practical applications.
出处
《人民长江》
北大核心
2015年第3期34-37,共4页
Yangtze River
基金
国家自然科学基金项目(41171342)
国家测绘地理信息局重点实验室基金资助项目(KLM201306)
河南省科技计划重点攻关项目(112102310358)
关键词
GNSS高程拟合
加权最小二乘
权
粗差
GNSS height fitting
weighted least squares
weight
gross error
