GPS坐标时间序列广义共模误差分离方法
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摘要
共模误差是GPS坐标时间序列的主要误差来源之一。针对传统的共模误差分离方法存在一定的局限性,甚至分离出错误的共模误差分量问题,该文根据共模误差的潜在起源,提出了一种依据地理环境因素、多尺度评价体系的GPS时间序列广义共模误差分离方法。该方法将相关系数、距离、经纬度、本地效应、地表环境负载效应、主分量贡献率、噪声模型特性等作为评价因子,为大区域、大尺度下GPS坐标序列共模误差,提供了可行的估计方法。实验分析结果表明,该文提出的共模误差分离方法能准确提取出GPS坐标序列中的共模误差,为进一步提高GPS坐标序列精度提供依据。
Common mode error(CME)is one of the main error source of global positioning system(GPS)coordinate time series.Aiming at the problem that the traditional CME separation methods have some limitations,and even separate the wrong CME components,according to potential origin of CME,an improved general CME filtering method for GPS time series was proposed based on geographical factors together with multi-scale evaluation system,which took correlation coefficient,distance,latitude and longitude,local effects,contribution rate of principal component and other geographical factors into consideration for estimating CME in large scale GPS networks.Better spatial filtering results could be obtained with the proposed method and provide a basis for further improving the accuracy of GPS coordinate time series model.
Common mode error(CME)is one of the main error source of global positioning system(GPS)coordinate time series.Aiming at the problem that the traditional CME separation methods have some limitations,and even separate the wrong CME components,according to potential origin of CME,an improved general CME filtering method for GPS time series was proposed based on geographical factors together with multi-scale evaluation system,which took correlation coefficient,distance,latitude and longitude,local effects,contribution rate of principal component and other geographical factors into consideration for estimating CME in large scale GPS networks.Better spatial filtering results could be obtained with the proposed method and provide a basis for further improving the accuracy of GPS coordinate time series model.
引文
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[10]BOGUSZ J,KLOS A.On the significance of periodic signals in noise analysis of GPS station coordinates time series[J].GPS Solutions,2016,20:655-664.
[11]叶世榕.GPS非差相位精密单点定位理论与实现[D].武汉:武汉大学,2002.(YE Shirong.Theory and its realization of GPS precise point positioning using un-differenced phase observation[D].Wuhan:Wuhan University,2002.)
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[13]KEDAR S,BOCK Y,MOORE A W,et al.Solid earth science ESDR system[C]∥American Geophysical Union,Fall Meeting.Washington,DC:AGU,2013.
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[15]袁林果,丁晓利,陈武,等.香港GPS基准站坐标序列特征分析[J].地球物理学报,2008,51(5):1372-1384.(YUAN Linguo,DING Xiaoli,CHEN Wu,et al.Characteristics of daily position time series from the Hong Kong GPS fiducial network[J].Chinese Journal of Geophysics,2008,51(5):1372-1384.)
[16]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.)
[17]姜卫平,夏传义,李昭,等.环境负载对区域GPS基准站时间序列的影响分析[J].测绘学报,2014,43(12):1217-1223.(JIANG Weiping,XIA Chuanyi,LI Zhao,et al.Analysis of environmental loading effects of regional GPS coordinate time series[J].Acta Geodaetica et Cartographica Sinica,2014,43(12):1217-1223.)
[18]SERPELLONI E,FACCENNA C,SPADA G,et al.Vertical GPS ground motion rates in the Euro-Mediterranean region:new evidence of velocity gradients at different spatial scales along the Nubia-Eurasia plate boundary[J].Journal of Geophysical Research(Solid Earth),2013,118(11):6003-6024.
[19]BLEWITT G,LAVALLE D.Effect of annual signals on geodetic velocity[J].Journal of Geophysical Research(Solid Earth),2002,107(B7):ETG9-1-ETG9-11.
[20]KLOS A,JANUSZ B,MARIUSZ F,et al.On the handling of outliers in the GNSS time series by means of the noise and probability analysis[C]∥International Association of Geodesy Symposia.Berlin:Springer,2015:1-8.
[21]GRIFFITHS J,RAY J.Impacts of GNSS position offsets on global frame stability[C/OL].EGU General Assembly,2014[2017-02-07].http:∥meetingorganizer.copernicus.org/EGU 2014/EGU2014-8545-1.pdf.
[22]李昭,姜卫平,刘鸿飞,等.中国区域IGS基准站坐标时间序列噪声模型建立与分析[J].测绘学报,2012,41(4):496-503.(LI Zhao,JIANG Weiping,LIU Hongfei,et al.Noise model establishment and analysis of IGS reference station coordinate time series inside China[J].Acta Geodaetica et Cartographica Sinica,2012,41(4):496-503.)
[23]BOS M S,FERNANDES R M S,WILLIAMS S D P,et al.Fast error analysis of continuous GNSS observations with missing data[J].Journal of Geodesy,2013,87(4):351-360.
[24]HE X X,MONTILLET J P,HUA X H,et al.Noise analysis for environmental loading effect on GPS time series[J].Acta Geodynamica et Geomaterialia,2017,14(1):131-142.
[2]NIKOLAIDIS R.Observation of geodetic and seismic deformation with the global positioning system[D].San Diego,California:University of California,2002.
[3]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.
[4]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.)
[5]BOGUSZ J,GRUSZCZYNSKI M,FIGURSKI M,et al.Spatio-temporal filtering for determination of common mode error in regional GNSS networks[J].Open Geoscience,2015,7(1):140-148.
[6]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):B03405.
[7]WILLIAMS S D P,BOCK Y,FANG P,et al.Error analysis of continuous GPS position time series[J].Journal of Geophysical Research(Solid Earth),2004,109(B3):B03412.
[8]殷海涛,甘卫军,熊永良,等.PCA空间滤波在高频GPS定位中的应用研究[J].武汉大学学报(信息科学版),2011,36(7):825-829.(YIN Haitao,GAN Weijun,XIONG Yongliang,et al.Study on the effect of PCA spatial filtering on high-rate GPS positioning[J].Geomatics and Information Science of Wuhan University,2011,36(7):825-829.)
[9]GRUSZCZYNSKI M,KLOS A,BOGUSZ J.Orthogonal transformation in extracting of common mode errors from continuous GPS networks[J].Acta Geodynamica et Geomaterialia,2016,13(3):291-298.
[10]BOGUSZ J,KLOS A.On the significance of periodic signals in noise analysis of GPS station coordinates time series[J].GPS Solutions,2016,20:655-664.
[11]叶世榕.GPS非差相位精密单点定位理论与实现[D].武汉:武汉大学,2002.(YE Shirong.Theory and its realization of GPS precise point positioning using un-differenced phase observation[D].Wuhan:Wuhan University,2002.)
[12]KEDAR S,BOCK Y,MOORE A W,et al.Identification and estimation of postseismic deformation:implications for plate motion models,models of the earthquake cycle,and terrestrial reference frame definition[C]∥American Geophysical Union,Fall Meeting.Washington,DC:AGU,2015.
[13]KEDAR S,BOCK Y,MOORE A W,et al.Solid earth science ESDR system[C]∥American Geophysical Union,Fall Meeting.Washington,DC:AGU,2013.
[14]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):113-117,97.(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):113-117,97.)
[15]袁林果,丁晓利,陈武,等.香港GPS基准站坐标序列特征分析[J].地球物理学报,2008,51(5):1372-1384.(YUAN Linguo,DING Xiaoli,CHEN Wu,et al.Characteristics of daily position time series from the Hong Kong GPS fiducial network[J].Chinese Journal of Geophysics,2008,51(5):1372-1384.)
[16]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.)
[17]姜卫平,夏传义,李昭,等.环境负载对区域GPS基准站时间序列的影响分析[J].测绘学报,2014,43(12):1217-1223.(JIANG Weiping,XIA Chuanyi,LI Zhao,et al.Analysis of environmental loading effects of regional GPS coordinate time series[J].Acta Geodaetica et Cartographica Sinica,2014,43(12):1217-1223.)
[18]SERPELLONI E,FACCENNA C,SPADA G,et al.Vertical GPS ground motion rates in the Euro-Mediterranean region:new evidence of velocity gradients at different spatial scales along the Nubia-Eurasia plate boundary[J].Journal of Geophysical Research(Solid Earth),2013,118(11):6003-6024.
[19]BLEWITT G,LAVALLE D.Effect of annual signals on geodetic velocity[J].Journal of Geophysical Research(Solid Earth),2002,107(B7):ETG9-1-ETG9-11.
[20]KLOS A,JANUSZ B,MARIUSZ F,et al.On the handling of outliers in the GNSS time series by means of the noise and probability analysis[C]∥International Association of Geodesy Symposia.Berlin:Springer,2015:1-8.
[21]GRIFFITHS J,RAY J.Impacts of GNSS position offsets on global frame stability[C/OL].EGU General Assembly,2014[2017-02-07].http:∥meetingorganizer.copernicus.org/EGU 2014/EGU2014-8545-1.pdf.
[22]李昭,姜卫平,刘鸿飞,等.中国区域IGS基准站坐标时间序列噪声模型建立与分析[J].测绘学报,2012,41(4):496-503.(LI Zhao,JIANG Weiping,LIU Hongfei,et al.Noise model establishment and analysis of IGS reference station coordinate time series inside China[J].Acta Geodaetica et Cartographica Sinica,2012,41(4):496-503.)
[23]BOS M S,FERNANDES R M S,WILLIAMS S D P,et al.Fast error analysis of continuous GNSS observations with missing data[J].Journal of Geodesy,2013,87(4):351-360.
[24]HE X X,MONTILLET J P,HUA X H,et al.Noise analysis for environmental loading effect on GPS time series[J].Acta Geodynamica et Geomaterialia,2017,14(1):131-142.