GNSS高程时间序列周期项的经验模态分解提取
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摘要
针对传统方法——常振幅常相位的周年+半周年谐波模型法不能准确提取GNSS高程时间序列中周期项问题,该文以中国区域10个IGS基准站在ITRF2008框架下2005—2015年高程时间序列为例,采用经验模态分解(EMD)提取各测站高程时间序列的周期项。对传统方法和EMD两种方法提取的周期项做Lomb_Scargle谱分析,用功率谱图分析了这两种方法提取序列周期项的能力。实验结果表明,EMD方法较传统方法更能准确、自适应地提取GNSS高程时间序列的周期项。
Aiming at the problem that the traditional method—anniversary and semi-annual harmonic model of constant amplitude and constant phase can't accurately extract the periodic component of GNSS Vertical time series,in this paper,empirical mode decomposition(EMD)was used to extract the periodic component of GNSS vertical time series about the 10 IGS stations in China under the framework of ITRF2008 from 2005 to 2015.The Lomb_Scargle spectrum was used to analyze the period term extracted by the two methods,and the power spectrum was used to analyze the ability of the two methods to extract the periodic component of GNSS vertical time series.The experimental results showed that the EMD method was more accurate and adaptive than the traditional method to extract the GNSS vertical time series.
Aiming at the problem that the traditional method—anniversary and semi-annual harmonic model of constant amplitude and constant phase can't accurately extract the periodic component of GNSS Vertical time series,in this paper,empirical mode decomposition(EMD)was used to extract the periodic component of GNSS vertical time series about the 10 IGS stations in China under the framework of ITRF2008 from 2005 to 2015.The Lomb_Scargle spectrum was used to analyze the period term extracted by the two methods,and the power spectrum was used to analyze the ability of the two methods to extract the periodic component of GNSS vertical time series.The experimental results showed that the EMD method was more accurate and adaptive than the traditional method to extract the GNSS vertical time series.
引文
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[15]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(6):834-844.(MING Feng,YANG Yuanxi,ZENG Anmin,et al.Analysis of seasonal signals and longterm trends in the elevation times series of IGS sites in China[J].Scientia Sinica Terrae,2016,46(6):834-844.)
[16]PAN Yuanjin,SHEN Wenbin,DING Hao,et al.The quasi-biennial vertical oscillations at global GPS stations:identification by ensemble empirical mode decomposition[J].Sensors,2015,15(10):26096-26114.
[2]钱闯,刘晖,丁志刚,等.顾及非构造形变的参考站长期稳定性分析[J].武汉大学学报(信息科学版),2015,40(9):1259-1265.(QIAN Chuang,LIU Hui,DING Zhigang,et al.Long-term stability of reference stations by taking non-tectonic deformation into account[J].Geomatics and Information Science of Wuhan University,2015,40(9):1259-1265.)
[3]BOGUSA J,KLOS A.On the significance of periodic signals in noise analysis of GPS station coordinates time series[J].GPS Solutions,2016,20(4):655-664.
[4]RAY J,ALTAMIMI Z,COLLILIEUX X,et al.Anomalous harmonics in the spectra of GPS position estimates[J].GPS Solutions,2008,12(1):55-64.
[5]鲍亚东,刘长建,张学东,等.EMD与小波分析组合探测电离VTEC周期方法研究[J].大地测量与地球动力学,2016,36(6):481-484.(BAO Yadong,LIU Changjian,ZHANG Xuedong,et al.A study on method to detect the period of VTEC by combining EMD with wavelet analysis[J].Journal of Geodesy and Geodynamics,2016,36(6):481-484.)
[6]吴金斌,周世健.经验模式分解联合独立分量分析降噪研究[J].测绘科学,2016,41(7):197-201.(WU Jinbin,ZHOU Shijian.The de-noising study based on empirical mode decomposition and independent component analysis[J].Science of Surveying and Mapping,2016,41(7):197-201.)
[7]吴杰,苗恒亚,左工,等.大桥GPS动态监测去噪方法[J].测绘科学,2016,41(10):106-110,141.(WU Jie,MIAO Hengya,ZUO Gong,et al.A de-noising method of dynamic deformation monitoring for large-span bridge[J].Science of Surveying and Mapping,2016,41(10):106-110,141.)
[8]戴吾蛟,丁晓利,朱建军,等.基于经验模式分解的滤波去噪法及其在GPS多路经效应中的应用[J].测绘学报,2006,35(4):321-327.)(DAI Wujiao,DING Xiaoli,ZHU Jianjun,et al.EMD filter method and its application in GPS multipath[J].Acta Geodaeticaet Cartographica Sinica,2006,35(4):321-327.)
[9]张恒璟,程鹏飞.基于EEMD的GPS高程时间序列噪声识别与提取[J].大地测量与地球动力学,2014,34(2):79-83.(ZHANG Hengjing,CHENG Pengfei.Noise recognition and extraction of GPS height time series based on EEMD[J].Journal of Geodesy and Geodynamics,2014,34(2):79-83.)
[10]贾瑞生,赵同彬,孙红梅,等.基于经验模态分解及独立成分分析的微震信号降噪方法[J].地球物理学报,2015,58(3):1013-1023.(JIA Ruisheng,ZHAO Tongbin,SUN Hongmei,et al.Micro-seismic signal denoising method based on empirical mode decomposition and independent component analysis[J].Chinese Journal of Geophysics,2015,58(3):1013-1023.)
[11]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.
[12]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 on regional GPS coordinate time series[J].Acta Geodaetica et Cartographica Sinica,2014,43(12):1217-1223.)
[13]龚国栋,贺小星,花向红,等.GPS网共模误差的空间响应分析[J].大地测量与地球动力学,2016,36(11):951-957.(GONG Guodong,HE Xiaoxing,HUA Xianghong,et al.Spatial response analysis for GPS network CME[J].Journal of Geodesy and Geodynamics,2016,36(11):951-957.)
[14]张飞鹏,董大南,程宗颐,等.利用GPS监测中国地壳的垂向季节性变化[J].科学通报,2002,47(18):1370-1377.(ZHANG Feipeng,DONG Danan,CHENG Zongyi,et al.Crustal vertical seasonal variation in China monitored by GPS[J].Chinese Science Bulletin,2002,47(18):1370-1377.)
[15]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(6):834-844.(MING Feng,YANG Yuanxi,ZENG Anmin,et al.Analysis of seasonal signals and longterm trends in the elevation times series of IGS sites in China[J].Scientia Sinica Terrae,2016,46(6):834-844.)
[16]PAN Yuanjin,SHEN Wenbin,DING Hao,et al.The quasi-biennial vertical oscillations at global GPS stations:identification by ensemble empirical mode decomposition[J].Sensors,2015,15(10):26096-26114.