侯争,郭增长,杜久升

• 1:河南理工大学

摘要(Abstract)：

针对时空滤波提取GNSS连续坐标时间序列中的共模误差对探测地壳微形变信息至关重要的问题,该文探索了小尺度区域内叠加滤波、主成分分析、独立分量分析等时空滤波方法的特性,基于华北地区13个GNSS测站连续3年的坐标时间序列进行时空滤波,并对比分析不同方法的滤波效果。结果显示,3种方法滤波后均不同程度地降低了坐标时间序列的离散度;区域叠加滤波与主成分分析提取的共模误差空间响应一致,滤波后的标准差基本相同,表明提取共模误差的性质相同,都以二阶统计量为主要信息;独立分量分析滤波后坐标时间序列的标准差较高,这与区域叠加滤波和主成分分析过度滤波有关。

关键词(KeyWords)： 共模误差;区域叠加滤波;主成分分析;独立分量分析;时间响应;空间响应

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(41774041);; 河南省科技厅重点科技攻关计划项目(172102210277,172102310178)

作者(Author): 侯争,郭增长,杜久升

DOI: 10.16251/j.cnki.1009-2307.2018.07.021

参考文献(References)：

• [1]胡守超,伍吉仓,孙亚峰.区域GPS网三种时空滤波方法的比较[J].大地测量与地球动力学,2009,29(3):95-99.(HU Shouchao,WU Jicang,SUN Yafeng.Comparison among three spatial temporal filtering methods for regional GPS networks analysis[J].Journal of Geodesy and Geodynamics,2009,29(3):95-99.)
• [2]伍吉仓,孙亚峰,刘朝功.连续GNSS站坐标序列共性误差的提取与形变分析[J].大地测量与地球动力学,2008,28(4):97-101.(WU Jicang,SUN Yafeng,LIU Chaogong.Extraction of common mode errors for continuous GPS networks and deformation analysis[J].Journal of Geodesy and Geodynamics,2008,28(4):97-101.)
• [3]杨登科,安向东,杨凯钧.欧洲地区共模误差提取及分析[J].测绘科学,2017,42(3):39-44.(YANG Dengke,AN Xiangdong,YANG Kaijun.The extract and analysis of common mode error in Europe[J].Science of Surveying and Mapping,2017,42(3):39-44.)
• [4]赵辉,张书毕,鲍国,等.GPS动态监测形变信息提取技术[J].测绘科学技术学报,2012,29(5):339-343.(ZHAO Hui,ZHANG Shubi,BAO Guo,et al.Deformation information extraction of GPS dynamic monitoring in Mining area[J].Journal of Geomatics Science and Technology,2012,29(5):339-343.)
• [5]谢树明,潘鹏飞,周晓慧.大空间尺度GPS网共模误差提取方法研究[J].武汉大学学报(信息科学版),2014,39(10):1168-1173.(XIE Shuming,PAN Pengfei,ZHOU Xiaohui.Research on common mode error extraction method for large-scale GPS network[J].Geomatics and Information Science of Wuhan University,2014,39(10):1168-1173.)
• [6]WDOWINSKI S,BOCK Y,ZHANG J,et al.Southern California permanent GPS geodetic array:spatial filtering of daily positions for estimating coseismic and postseismic displacements induced by the 1992Landers earthquake[J].Journal of Geophysical Research(Solid Earth),1997,102(B8):18057-18070.
• [7]NIKOLAIDIS R.Observation of geodetic and seismic deformation with the global positioning system[D].San Diego:University of California,2002:36-49.
• [8]TIAN Y F,SHEN Z K.Extracting the regional commonmode component of GPS station position time series from dense continuous network[J].Journal of Geophysical Research(Solid Earth),2016,121(2):1080-1096.
• [9]DONG D,FANG P,BOCK Y,et al.Spatiotemporal filtering using principal component analysis and Karhunen-Loeve expansion approaches for regional GPS network analysis[J].Journal of Geophysical Research(Solid Earth),2006,111(B3):3405-3421.
• [10]高涵.基于PCA提取GPS序列共模误差分析与应用[C]∥云南省测绘地理信息学会论文集.昆明:云南科技出版社,2016:552-561.(GAO Han.Analysis and application of extracting GPS time series common mode errors based on PCA[C]//Proceedings of Yunnan Provincial Society of Surveying,Mapping and Geoinformation.Kunming:Yunnan Science and Technology Press,2016:552-561.)
• [11]贺小星,花向红,周世健,等.PCA与KLE相结合的区域GPS网坐标序列分析[J].测绘科学,2014,39(7):113-117.(HE Xiaoxing,HUA Xianghong,ZHOU Shijian,et al.Application of PCA/KLE in analysis of regional GPS coordinate time series[J].Science of Surveying and Mapping,2014,39(7):113-117.)
• [12]MING F,YANG Y,ZENG A,et al.Spatiotemporal filtering for regional GPS network in China using independent component analysis[J].Journal of Geodesy,2017,91(4):419-440.
• [13]明锋,杨元喜,曾安敏.共模误差PCA与ICA提取方法的比较[J].大地测量与地球动力学,2017,37(4):385-389.(MING Feng,YANG Yuanxi,ZENG Anmin.Analysis and comparison of common mode error extraction using principal component analysis and independent component analysis[J].Journal of Geodesy and Geodynamics,2017,37(4):385-389.)
• [14]LI W W,SHEN Y Z,LI B F.Weighted spatiotemporal filtering using principal component analysis for analyzing regional GNSS position time series[J].Acta Geodaetica Et Geophysica,2015,50(14):419-436.
• [15]LIU B,DAI W J,PENG W,et al.Spatiotemporal analysis of GPS time series in vertical direction using independent component analysis[J].Earth Planets and Space,2015,67(1):189.
• [16]SHEN Y Z,LI W W,XU G C,et al.Spatiotemporal filtering of regional GPS network’s position time series with missing data using principle component analysis[J].Journal of Geodesy,2014,88(1):1-12.
• [17]田云锋,沈正康.GPS坐标时间序列中非构造噪声的剔除方法研究进展[J].地震学报,2009,31(1):68-81.(TIAN Yunfeng,SHEN Zhengkang.Progress on reduction of non-tectonic noise in GPS position time series[J].Acta Seismologica Sinica,2009,31(1):68-81.)
• [18]姜卫平,周晓慧.澳大利亚GPS坐标时间序列跨度对噪声模型建立的影响分析[J].中国科学:地球科学,2014,44(11):2461-2478.(JIANG Weiping,ZHOU Xiaohui.Effect of the span of Australian GPS coordinate time series in establishing an optimal noise model[J].Scientia Sinica Terrae,2014,44(11):2461-2478.)