贺小星,姜卫平,周晓慧,鲁铁定

• 1:武汉大学测绘学院
• 2:华东交通大学土木建筑学院
• 3:武汉大学卫星导航定位技术研究中心
• 4:东华理工大学测绘工程学院

摘要(Abstract)：

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。

关键词(KeyWords)： GPS坐标时间序列;共模误差;空间滤波;噪声模型估计

Abstract:

Keywords:

基金项目(Foundation): 国家杰出青年科学基金项目(41525014);; 国家自然科学基金项目(41674005,41804007);; 中国博士后科学基金项目(2018M632909);; 现代工程测量国家测绘地理信息局重点实验室项目(TJES1810)

作者(Author): 贺小星,姜卫平,周晓慧,鲁铁定

DOI: 10.16251/j.cnki.1009-2307.2018.10.002

参考文献(References)：

• [1]BLEWITT G,ALTAMIMI Z,DAVIS J,et al.Geodetic observations and global reference frame contributions to understanding sea-level rise and variability[M]∥CHURCH J A,WOODWORTH P L,AARUP T,et al.Understanding sea-level rise and variability.London:Wiley-Blackwell,2010:256-284.
• [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,LAVALLE 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.