Application of MSSA in GPS coodinate series analysis

doi:10.13474/j.cnki.11-2246.2021.0272

Abstract

Abstract: The coordinate series of four CMONOC stations located in Yunnan province are selected as the experimental objects, and the multichannel singular spectrum analysis(MSSA) is used to interpolate its missing data and extract its seasonal signal. The results show that the precision of iterative interpolation of MSSA is better than 1.5 mm in the horizontal direction and 4 mm in the vertical direction, both better than cubic spline interpolation and the superiority is still not be lost when the missing rate of the sequence increases and the continuity decreases. Comparing MSSA and leastsquare fit methods to extra ctseasonal signal extraction effect and analyze its residual sequence and power spectrum, it is found that MSSA can effectively extract different periodic signals and is more suitable for time-varying seasons with inconstant amplitude signal.

Key words: multichannel singular spectrum analysis, coordinate series, numerical interpolation, seasonal signals, least square fit

CLC Number:

P228.4

QIAN Wei, YUE Jianping. Application of MSSA in GPS coodinate series analysis[J]. Bulletin of Surveying and Mapping, 2021, 0(9): 49-52,63.

References

[1] WANG X,CHENG Y,WU S,et al.An effective toolkit for the interpolation and gross error detection of GPS time series[J].Survey Review,2016,48(348):202-211.
[2] 王晓明.CGCS2000坐标框架动态特性及非线性建模方法研究[D].北京:中国测绘科学研究院,2013.
[3] OROPEZA V,SACCHI M.Simultaneous seismic data denoising and reconstruction via multichannel singular spectrum analysis[J].Geophysics,2011,76(3):25-32.
[4] 程正泉,梁建茵,丁裕国,等.全球气温与ENSO多年际耦合振荡关系的初步研究[J].热带气象学报,2006,22(2):169-175.
[5] 汪浩,岳建平,向云飞,等.基于MSSA的区域GPS站点季节性信号提取[J].大地测量与地球动力学,2019,39(5):516-520.
[6] 高文宗,郭金运,沈毅,等.基于多通道奇异谱分析的北京房山站2007-2015年坐标时变分析[J].中国科技论文,2018,13(3):358-364.
[7] CHEN Q,DAM T V,SNEEUW N,et al.Singular spectrum analysis for modeling seasonal signals from GPS time series[J].Journal of Geodynamics,2013,72:25-35.
[8] 李世友,王奉伟,沈云中.大坝变形时间序列的奇异谱分析[J].测绘通报,2018(9):64-68.
[9] BROOMHEAD D S,KING G P.Extracting qualitative dynamics from experimental data[J].Physica D:Nonlinear Phenomena,1986,20(2-3):217-236.
[10] 肖胜红,王国成,涂弋.SSA+FBPF方法及其在北斗卫星钟差周期项提取中的应用[J].测绘学报,2016,45(S2):172-178.
[11] 蔡晓军.区域GPS坐标时间序列特性分析[D].西安:长安大学,2019.
[12] 王辉赞,张韧,刘巍,等.奇异谱迭代插补的改进算法及其在缺损数据恢复中的应用[J].应用数学和力学,2008,29(10):1227-1236.
[13] 王解先,连丽珍,沈云中.奇异谱分析在GPS站坐标监测序列分析中的应用[J].同济大学学报(自然科学版),2013,41(2):282-288.
[14] 卢辰龙,匡翠林,易重海,等.奇异谱分析滤波法在消除GPS多路径中的应用[J].武汉大学学报(信息科学版),2015,40(7):924-931.
[15] HASSANI H.Singular spectrum analysis:methodology and comparison[J].Journal of Data Science,2007,5(2):239-257.