基于加权总体最小二乘法的GPS高程拟合

GPS HEIGHT FITTING OF WEIGHTED TOTAL LEAST-SQUARES ADJUSTMENT

在GPS高程拟合中,针对传统最小二乘方法不能解决系数矩阵存在误差的问题,提出了一种基于加权总体最小二乘的拟合方法。对平面和二次曲面多项式建立更加合理的拟合模型,并给出了相应的迭代算法。实例计算表明,加权最小二乘方法能够得到更好的估计参数,高程异常值拟合精度也相应提高。

In GPS height fitting,a new method of Weighted Total Least-Squares adjustment（WTLS） is presented for solving the error of coefficient matrix.A more reasonable fitting model of plane and quadric polynomial is established,and the corresponding iterative algorithm is given.The examples of calculations show that the polynomial parameter is more reasonable and the solved height anomaly is more accurate.