基于丹麦法计算权因子的GPS高程拟合方法研究

Research on GPS Height Fitting Method Based on Danish Method

针对GPS高程拟合这一问题,介绍了等值线法、解析拟合法等传统GPS高程拟合方法,并选用丹麦法计算权因子,构造等价权矩阵,结合总体最小二乘法抵抗粗差点对GPS高程拟合结果的影响。结果表明:等值线法与其它两种方法对不含粗差的等精度观测数据拟合的效果相当;基于丹麦法计算权因子的抗差总体最小二乘法对不等精度观测数据的偶然误差处理效果更佳,且通过权因子可以有效处理粗差点对高程拟合的影响,拟合效果更佳。

In this paper,the traditional GPS height fitting methods,such as contour method and analytic fitting method,are introduced for GPS elevation fitting.The Danish method is used to calculate the weight factor for the first time to construct the equivalent weight matrix,and combined with the overall least squares method to resist the influence of the rough point on the GPS elevation fitting results.The results show that the effect of the contour method is equivalent to the other two methods for fitting the equal precision observation data without gross error.Based on the weight factor calculated by Danish method,The deal result of the robust overall least squares method is better in dealing with the accidental error of the unequal accuracy observation data,and the effect of the rough points on the elevation fitting can be effectively dealt by using the weighting factor,and the fitting effect is better.