奇异谱分析滤波法在消除GPS多路径中的应用  

Singular Spectrum Analysis Filter Method for Mitigation of GPS Multipath Error

作　　者：卢辰龙[1,2] 匡翠林[1] 易重海[1] 章浙涛 

机构地区：[1]中南大学地球科学与信息物理学院,湖南长沙410083 [2]国土环境与灾害监测国家测绘地理信息局重点实验室,江苏徐州221006

出　　处：《武汉大学学报（信息科学版）》2015年第7期924-931,共8页Geomatics and Information Science of Wuhan University

基　　金：国土环境与灾害监测国家测绘地理信息局重点实验室开放基金资助项目(LEDM2013B02);国家测绘地理信息局测绘基础研究基金资助项目(12-01-06)~~

摘　　要：基于奇异谱分析(singular spectrum analysis,SSA)的基本思想,利用噪声与信号的赫斯特(Hurst)指数有显著差异这一特性,提出了一种新的SSA滤波法,同时给定了嵌入维数L与重构阶次P的确定标准,并将该方法应用于GPS多路径的研究中。通过模拟数据及实测GPS坐标序列的数据分析,结果表明SSA滤波法是一种有效的去噪方法,其去噪效果与小波滤波与经验模态分解(emprirical mode decomposition,EMD)滤波相当。针对多路径效应周日重复性的特点,利用该滤波方法建立改正模型,可有效地削弱多路径效应的影响,进而提高GPS动态变形监测的精度。A new filtering method for mitigation of GPS multipath error is proposed in this paper based on singular spectrum analysis,and the characteristics of the Hurst index for noise and signal.At the same time,a standard for embedding dimension L and reconstruction order P are given and then the method is applied to GPS multipath mitigation.After analyzing simulated data and a real series of GPS coordinates,results show that the singular spectrum analysis filtering method is an effective denoising method,as the denoising effect is the same as wavelet filter and EMD filter method.Considering the multipath repeatability effect,a correction model was established based on this filter method,which can effectively weaken the influence of the multipath effect,thus improving the accuracy of GPS dynamic deformation monitoring.

关 键 词：SSA滤波 赫斯特指数 小波滤波 经验模态分解滤波 GPS多路径效应 

分 类 号：P228[天文地球—大地测量学与测量工程]