最小二乘谐波估计对GNSS坐标时间序列多路径效应提取能力的研究

在对比分析单元谐波估计与多元谐波估计这2种最小二乘谐波估计方法的数学原理及实现方法基础上，基于实际监测点的GNSS坐标时间序列，通过实验对比2种方法在提取多路径效应方面的效果。结果表明，单元谐波估计和多元谐波估计均能较好地提取多路径效应；在未发生数据中断的情况下，相比于单元谐波估计，多元谐波估计的去噪效果更明显，E、N、U 三方向的剔除率分别有2.67%、2.50%、4.48%的改善；但在数据中断严重的情况下，单元谐波估计的去噪效果更好，相比于多元谐波估计，单元谐波估计在E、N、U 三方向的剔除率分别有2.42%、4.65%、0.05%的提高。

Research on Least Squares Harmonic Estimation in Extracting the Multipath Effect of GNSS Coordinate Time Series

This paper firstly compares and analyzes the difference between the unit harmonic estimation and the multi-harmonic estimation in extracting multipath effects, introduce the mathematical principles and implementation methods of the two methods, then compare the effects of the two methods through a field experiment. The experimental results show that both unit-harmonic estimation and multi-harmonic estimation can significantly extract the multipath effect. In the case of no data interruption, the denoising effect of multi-harmonic estimation is more obvious. The rejection rate of E/N/U directions is improved by 2.67%/2.50%/4.48% respectively, but in the case of severe data interruption, the denoising effect of the unit harmonic estimation is better. The rejection rate of the unit harmonic estimation in theE/N/U direction is improved by 2.42%/4.65%/0.05% respectively.