基于局部加权回归及经验模态分解的地心运动降噪方法  

A Noise Reduction Method for Geocentric Motion Based on Locally Weighted Regression and Empirical Modal Decomposition

作　　者：柯能 朱新慧[1] 王刃 肖凯[1] 贾彦锋 黄俊迦 KE Neng;ZHU Xinhui;WANG Ren;XIAO Kai;JIA Yanfeng;HUANG Junjia(School of Surveying and Mapping,Information Engineering University,62 Kexue Road,Zhengzhou 450001,China;Shandong Wuzheng Group Co Ltd,9 Lianhai Road,Rizhao 262300,China;Key Laboratory for Fault Diagnosis and Maintenance of Spacecraft in Orbit,462 East-Xianning Road,Xi’an 710043,China)

机构地区：[1]信息工程大学地理空间信息学院,郑州市450001 [2]山东五征集团有限公司,山东省日照市262300 [3]航天器在轨故障诊断与维修重点实验室,西安市710043

出　　处：《大地测量与地球动力学》2023年第9期904-908,共5页Journal of Geodesy and Geodynamics

基　　金：国家自然科学基金(41804018,42104034)。

摘　　要：针对目前地心运动序列包含复杂噪声、真实信号难以有效提取等问题,提出一种结合局部加权回归(locally weighted regression, LOESS)和经验模态分解(empirical mode decomposition, EMD)的降噪方法LOESS-EMD。该方法首先对地心运动序列进行局部加权回归拟合,得到拟合后的时间序列和残差序列;然后对残差序列进行经验模态分解,从中提取出低频信号;最后将拟合的时间序列和残差中的低频信号进行重构,得到降噪后的时间序列。在仿真实验中,相比于LOESS方法,LOESS-EMD方法降噪结果的均方根误差减小31%,信噪比和剩余能量百分比分别提高16%和0.16百分点。利用该方法对国际GNSS服务IGS第三次重处理(3rd reprocessing campaign, Repro3)提供的地心运动序列进行降噪分析,结果表明,LOESS-EMD方法能够有效减少地心运动序列的噪声。Geocentric motion sequence contains complex noise and the real signal is difficult to extract effectively,so we propose a noise reduction method LOESS-EMD combining the locally weighted regression(LOESS)and the empirical mode decomposition(EMD)methods.Firstly,we fit the geocentric motion sequence with the LOESS method to obtain the fitted time series and the residual sequence.Then,we perform the EMD method on the residual series and extract the low frequency signal from it.Finally,we reconstruct the fitted time series and the low frequency signal in the residuals to obtain the denoised time series.In the simulation data experiment,compared with the LOESS method,the LOESS-EMD method reduces the root mean square error by 31%and improves the signal-to-noise ratio and percentage of remaining energy by 16%and 0.16 percent point.This method is used to denoise the geocentric motion sequence provided by the International GNSS Service(IGS)3rd reprocessing campaign(Repro3),and the experimental results show that the LOESS-EMD method can effectively reduce the noise of the geocentric motion sequence and thus improve its accuracy.

关 键 词：地心运动 局部加权回归 经验模态分解 降噪 信噪比 

分 类 号：P228[天文地球—大地测量学与测量工程] P226[天文地球—测绘科学与技术]