GPS高程拟合的方法比较

Comparison of methods in GPS elevation fitting

GPS高程拟合的方法有很多,各有其优点和适用范围。本文在最小二乘估计算法的基础上,讨论主成分估计法和半参数模型估计法及各自的优点,并利用六参数模型的最小二乘估计、主成分估计和半参数模型三种拟合方法对GPS高程进行拟合,通过实例计算结果比较分析,得出半参数估计方法优于其他方法,在一定条件下精度高的优点。最后得出半参数估计方法精度达毫米级,论证了其在实际应用中的优越性。

There are many fitting methods in GPS elevation fitting with their own advantages and application scope. This paper based on the algorithm of least-squares estimation discussed principal component estimation method, semi-parametric model estimation method and their respective advantages. Then GPS elevation fitting was made with three methods： least-square estimation method in six parameter model, principal component estimation and semi-parametric model estimation method. Comparing with and analyzing the cal- culation results, it was shown that the semi-parametric model estimation method would have a higher precision than others under certain conditions, and the semi-parametric model estimation method could reach the precision of millimeter level and demonstrate its superiori- ty in practical application.