基于MSSA的区域GPS站点季节性信号提取
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摘要
基于MSSA同时提取多个GPS站点高程时间序列中的季节性信号,主要包括1 a项与0.5 a项。MSSA利用重建成分进行信号重构时,可从原始时间序列中提取有用信号,并剔除干扰噪声。将MSSA与SSA各自获取的前10个奇异谱方差所占百分比和重构信号进行对比,MSSA重构曲线中只包含多个站点的时变与具有共性的季节性信号,有效消除了单个站点特有的噪声与局部现象的影响。
In this paper, MSSA is used to simultaneously extract seasonal signals from multiple GPS stations' elevation time series, mainly including annual and semi-annual items. The experiment verifies that MSSA can identify and extract seasonal signals in time series of GPS stations. At the same time, MSSA can use the reconstruction components(RC) to reconstruct the signals which can extract the useful signals from the original time series and remove interference noise. By comparing the percentages of the top 10 singular spectral variance and the reconstructed signals obtained from MSSA and SSA, it is shown that the MSSA reconstruction curve only contains the time-varying and common seasonal signals of multiple stations, effectively eliminating the influence of single site-specific noise and local phenomenon.
In this paper, MSSA is used to simultaneously extract seasonal signals from multiple GPS stations' elevation time series, mainly including annual and semi-annual items. The experiment verifies that MSSA can identify and extract seasonal signals in time series of GPS stations. At the same time, MSSA can use the reconstruction components(RC) to reconstruct the signals which can extract the useful signals from the original time series and remove interference noise. By comparing the percentages of the top 10 singular spectral variance and the reconstructed signals obtained from MSSA and SSA, it is shown that the MSSA reconstruction curve only contains the time-varying and common seasonal signals of multiple stations, effectively eliminating the influence of single site-specific noise and local phenomenon.
引文
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[11] 叶沛,许可,徐曦煜.基于奇异谱分析的DGPS浮标海面高程测量误差研究[J].遥感技术与应用,2015,30(4):661-666(Ye Pei,Xu Ke,Xu Xiyu.Study on Denoising the Instrumental Errors of the Sea Surface Height Series Derived from Buoys[J].Remote Sensing Technology and Application,2015,30(4):661-666)
[12] 曹奇,岳东杰,王海,等.基于奇异谱分析的大桥索塔变形信号提取与分析[J].大地测量学与地球动力学,2014,34(5):144-150(Cao Qi,Yue Dongjie,Wang Hai,et al.Extraction and Analysis of Deformation Signals of Bridge Pylons Based on Singular Spectrum Analysis[J].Jouranl of Geodesy and Geodynamics,2014,34(5):144-150)
[13] Gruszczynska M,Klos A,Rosat S,et al.Deriving Common Seasonal Signals in GPS Position Time Series by Using Multichannel Singular Spectrum Analysis[J].Acta Geodynamica et Geomaterialia,2017,14(3):273-281
[2] 明峰,杨元喜,曾安敏,等.中国区域IGS站高程时间序列季节性信号及长期趋势分析[J].中国科学:地球科学,2016,46:834-844(Ming Feng,Yang Yuanxi,Zeng Anmin,et al.Analysis of Seasonal Signals and Long-Term Trends in the Height Time Series of IGS Sites in China[J].Science China Earth Sciences,2016,46:834-844)
[3] 卢辰龙,匡翠林,戴吾蛟,等.采用变系数回归模型提取GPS坐标序列季节性信号[J].大地测量与地球动力学,2014,34(5):94-100(Lu Chenlong,Kuang Cuilin,Dai Wujiao,et al.Extracting Seasonal Signals from Continuous GPS Time Series Based on Varying-coefficient Regression Models[J].Jouranl of Geodesy and Geodynamics,2014,34(5):94-100)
[4] Chen Q,Dam T,Sneeuw N,et al.Singular Spectrum Analysis for Modeling Seasonal Signals from GPS Time Series[J].Journal of Geodynamics,2013(72):25-35
[5] 王解先,连丽珍,沈云中.奇异谱分析在GPS站坐标监测时间序列分析中的应用[J].同济大学学报:自然科学版,2013,41(2):282-283(Wang Jiexian,Lian Lizhen,Shen Yunzhong.Application of Singular Spectrum Analysis to GPS Station Coordinate Monitoring Series[J].Journal of Tongji University:Natural Science,2013,(2):282-288)
[6] 罗勇,匡翠林,卢辰龙,等.基于SSA的GPS坐标序列去噪及季节性信号提取[J].大地测量与地球动力学,2015,35(3):391-395(Luo Yong,Kuang Cuilin,Lu Chenlong,et al.GPS Coordinate Series Denoising and Seasonal Signal Extraction Based on SSA[J].Journal of Geodesy and Geodynamics,2015,35(3):391-395)
[7] 卢辰龙,匡翠林,易重海,等.奇异谱分析滤波法在消除GPS多路径中的应用[J].武汉大学学报:信息科学版,2015,40(7):924-931(Lu Chenlong,Kuang Cuilin,Yi Zhonghai,et al.Singular Spectrum Analysis Filter Method for Mitigation of GPS Multipath Errors[J].Geomatics and Information Science of Wuhan University,2015,40(7):924-931)
[8] Oropeza V,Sacchi M.Simultaneous Seismic Data Denoising and Reconstruction via Multichannel Singular Spectrum Analysis[J].Geophysics,2011,76(3):25-32
[9] Zotov L,Sidorenkov N S,Bizouard C,et al.Multichannel Singular Spectrum Analysis of the Axial Atmospheric Angular Momentum[J].Geodesy and Geodynamics,2017(8):433-442
[10] 魏小强,雷秀丽,马庆珍.基于多道奇异谱分析的三维地震数据规则化方法[J].石油地球物理勘探,2014,49(5):846-851(Wei Xiaoqiang,Lei Xiuli,Ma Qingzhen,et al.3D Seismic Data Regularization Based on Multi-Channel Singular Spectrum Analysis[J].Oil Geophysical Prospecting,2014,49(5):846-851)
[11] 叶沛,许可,徐曦煜.基于奇异谱分析的DGPS浮标海面高程测量误差研究[J].遥感技术与应用,2015,30(4):661-666(Ye Pei,Xu Ke,Xu Xiyu.Study on Denoising the Instrumental Errors of the Sea Surface Height Series Derived from Buoys[J].Remote Sensing Technology and Application,2015,30(4):661-666)
[12] 曹奇,岳东杰,王海,等.基于奇异谱分析的大桥索塔变形信号提取与分析[J].大地测量学与地球动力学,2014,34(5):144-150(Cao Qi,Yue Dongjie,Wang Hai,et al.Extraction and Analysis of Deformation Signals of Bridge Pylons Based on Singular Spectrum Analysis[J].Jouranl of Geodesy and Geodynamics,2014,34(5):144-150)
[13] Gruszczynska M,Klos A,Rosat S,et al.Deriving Common Seasonal Signals in GPS Position Time Series by Using Multichannel Singular Spectrum Analysis[J].Acta Geodynamica et Geomaterialia,2017,14(3):273-281