基于PCA方法的GPS台站时间序列分析
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摘要
基于10 a以上的全球GPS台站数据,利用主成分分析法及其他数据处理方法,对台站时间序列进行预处理和结果分析,研究其中的非线性周期规律,探讨时间序列的主要影响机制。结果表明,主成分分析法可以将台站残差时空矩阵分解成若干正交成分,GPS台站时间序列的东西方向具有线性漂移趋势,全球大部分GPS台站都存在非线性周期规律,周年项和半周年周期占据主导地位。
Based on more than ten years of global GPS station data, we carry out preprocessing of the detection and reparation of jumps through the wavelet transform, and introduce the PCA method to measure the station time. The feasibility and results of sequence changes are analyzed and evaluated. The most important nonlinear periodic item is extracted from the series. It shows that the principal component analysis method uses the method of orthogonal decomposition and coordinate residual space-time matrix decomposition into a number of orthogonal components. The results reveal that the residual time series shows obvious cyclical terms, and the east direction has a linear drift trend. Through the Fourier transform, the periodic term in the coordinate time series is extracted, showing that most of the global GPS stations have nonlinear periodic laws, in which annual and semi-annual cycles dominate, and the information related to geophysical phenomena is extracted for feature recognition.
Based on more than ten years of global GPS station data, we carry out preprocessing of the detection and reparation of jumps through the wavelet transform, and introduce the PCA method to measure the station time. The feasibility and results of sequence changes are analyzed and evaluated. The most important nonlinear periodic item is extracted from the series. It shows that the principal component analysis method uses the method of orthogonal decomposition and coordinate residual space-time matrix decomposition into a number of orthogonal components. The results reveal that the residual time series shows obvious cyclical terms, and the east direction has a linear drift trend. Through the Fourier transform, the periodic term in the coordinate time series is extracted, showing that most of the global GPS stations have nonlinear periodic laws, in which annual and semi-annual cycles dominate, and the information related to geophysical phenomena is extracted for feature recognition.
引文
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[2] 王小亚.GPS在地球物理方面的应用[D].上海:中国科学院上海天文台,2002(Wang Xiaoya.Application of GPS in Geophysics[D].Shanghai:Shanghai Astronomical Observatory,CAS,2002)
[3] 田亮.GPS测站坐标非线性变化规律分析与机制研究[D].郑州:信息工程大学,2011(Tian Liang.Analysis and Mechanism Research of Nonlinear Variation Law of GPS Station Coordinates[D].Zhengzhou:Information Engineering University,2011)
[4] 吴伟伟.华北地区GPS连续站坐标序列特征研究[D].北京:中国地震局地震预测研究所,2014(Wu Weiwei.Study on the Coordinates of GPS Continuous Stations in North China[D].Beijing:Institute of Earthquake Forecasting,CEA,2014)
[5] 田亮,刘武凤,张建东,等.基于GPS坐标残差序列的全球测站非线性变化规律统计[J].地理空间信息,2013(4):70-71(Tian Liang,Liu Wufeng,Zhang Jiandong,et al.Statistics of Nonlinear Variation of Global Stations Based on GPS Coordinate Residual Sequences[J].Geospatial Information,2013(4):70-71)
[6] 符养.中国大陆现今地壳形变与GPS坐标时间序列分析[D].上海:中国科学院上海天文台,2002(Fu Yang.Current Crustal Deformation and GPS Coordinate Time Series Analysis in Mainland China[D].Shanghai:Shanghai Astronomical Observatory,CAS,2002)
[7] Dong D,Dickey J O,Chao Y,et al.Geocenter Variations Caused by Atmosphere,Ocean and Surface Ground Water[J].Geophysical Research Letters,1997,24(15):1 867-1 870
[8] He B,Wang X Y.Combination of Terrestrial Reference Frames Based on Space Geodetic Techniques in SHAO:Methodology and Main Issues[J].Research in Astronomy and Astrophysics,2017,17(9):1-14
[9] 叶叔华,黄珹.天文地球动力学[M].济南:山东科学技术出版社,2000(Ye Shuhua,Huang Cheng.Astronomical Geodynamics[M].Ji’nan:Shandong Science and Technology Press,2000)
[10] Altamimi Z,Métivier L,Collilieux X.ITRF2008 Plate Motion Model[J].Journal of Geophysical Research:Solid Earth,2012,117(B7)
[11] Altamimi Z,Boucher C,Willis P.Terrestrial Reference Frame Requirements within GGOS Perspective[J].Journal of Geodynamics,2005,40(4):363-374
[12] 张鹏,蒋志浩,秘金钟,等.我国GPS跟踪站数据处理与时间序列特征分析[J].武汉大学学报:信息科学版,2007,32(3):251-254(Zhang Peng,Jiang Zhihao,Bei Jinzhong,et al.Data Processing and Time Series Feature Analysis of GPS Tracking Stations in China[J].Geomatics and Information Science of Wuhan University,2007,32(3):251-254)
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