晏慧能,戴吾蛟,温亚鑫

• 1:中南大学地球科学与信息物理学院
• 2:湖南省精密工程测量与形变灾害监测重点实验室

摘要(Abstract)：

针对GNSS位移时序数据中常存在由各种因素引起的异常值，使得难以准确提取GNSS站点的变形信号，而现有的GNSS位移时序处理方法主要考虑异常值的探测和变形特征参数的估计，但是对异常值进行修复的研究较少这一问题，该文提出了一种基于t检验和先验变形特征函数的GNSS位移时序处理方法，同时实现异常值的自动识别和修复以及变形特征参数的估计。利用该方法对旧金山湾区和南加州的GNSS位移时序数据进行了处理。结果表明，该方法在两个研究区域均能准确判断并有效修复GNSS位移时序中的异常值，提高GNSS位移时序对异常干扰信息的抵抗能力。将计算得到的E、N、U方向的变形速率与MIDAS算法进行对比，发现大部分GNSS站点的平面速率差异和高程速率差异都很小。对比未采用时序处理方法估计的变形速率值，发现该方法处理后的速率估值更接近MIDAS算法的结果，并且速率估值的方差更小，说明该方法能有效提高变形速率估计的精度和可靠性。

关键词(KeyWords)： GNSS位移时序;t检验;特征函数;异常值识别和修复;变形速率

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(42174053);; 湖南省自然科学基金项目(2021JJ30805);; 中南大学中央高校基本科研业务费专项资金(2020zzts175);; 湖南省研究生科研创新项目(CX20200231)

作者(Author): 晏慧能,戴吾蛟,温亚鑫

DOI: 10.16251/j.cnki.1009-2307.2022.09.008

参考文献(References)：

• [1] 韩军强.高精度GNSS实时滑坡变形监测技术及环境建模分析研究[J].测绘学报，2020,49(3):397-397.(HAN Junqiang.Research on high precision GNSS real time landslide deformation monitoring technology and environmental modeling[J].Acta Geodaetica et Cartographica Sinica,2020,49(3):397-397.)
• [2] 朱江淼，高秀娜，黄艳，等.GNSS接收机抗干扰性能关键指标测试方法的研究与实现[J].电子测量与仪器学报，2020,32(3):135-141.(ZHU Jiangmiao,GAO Xiuna,HUANG Yan,et al.Research and implementation of testing method for key anti-interference performance of GNSS receiver[J].Journal of Electronic Measurement and Instrumentation,2020,32(3):135-141.)
• [3] 胡亚轩，王雄，程林，等.GNSS观测站环境变化对数据质量的影响[J].测绘科学，2018,43(3):131-136.(HU Yaxuan,WANG Xiong,CHENG Lin,et al.Study on the data quality with the changing surroundings of GNSS stations[J].Science of Surveying and Mapping,2018,43(3):131-136.)
• [4] 刘丹丹.基于EMD的GNSS时间序列异常值探测算法[J].地球物理学进展，2021,36(5):1865-1873.(LIU Dandan.New method of outlier detection for GNSS coordinate time series based on EMD approach[J].Progress in Geophysics,2021,36(5):1865-1873.)
• [5] 姜卫平，王锴华，李昭，等.GNSS坐标时间序列分析理论与方法及展望[J].武汉大学学报(信息科学版),2018,43(12):2112-2123.(JIANG Weiping,WANG Kaihua,LI Zhao,et al.Prospect and theory of GNSS coordinate time series analysis[J].Geomatics and Information Science of Wuhan University,2018,43(12):2112-2123.)
• [6] 明锋.GPS坐标时间序列分析研究[J].测绘学报，2019,48(10):1340-1340.(MING Feng.Research on the GPS coordinate time series analysis[J].Acta Geodaetica et Cartographica Sinica,2019,48(10):1340-1340.)
• [7] 邱小梦，陶国强，王奉伟，等.LMD和小波阈值的GNSS坐标时间序列降噪应用[J].测绘科学，2021,46(8):28-32.(QIU Xiaomeng,TAO Guoqiang,WANG Fengwei,et al.Application of LMD and wavelet threshold in noise reduction of GNSS coordinate time series[J].Science of Surveying and Mapping,2021,46(8):28-32.)
• [8] 彭葳，戴吾蛟.基于EEMD和Husrt指数的GNSS基准站的垂向速率估计[J].测绘工程，2016,25(4):60-65.(PENG Wei,DAI Wujiao.Vertical velocity estimation of GNSS reference station based on EEMD method and Husrt exponent[J].Engineering of Surveying and Mapping,2016,25(4):60-65.)
• [9] 张旺，尹磊，徐韶光，等.改进奇异谱分析方法的GPS时间序列分析[J].测绘科学，2019,44(3):28-33.(ZHANG Wan,YIN Lei,XU Shaoguang,et al.An improved singular spectrum analysis method for analysis of GPS time series[J].Science of Surveying and Mapping,2019,44(3):28-33.)
• [10] YAN J,DONG D,BüRGMANN R,et al.Separation of sources of seasonal uplift in China using independent component analysis of GNSS time series[J].Journal of Geophysical Research:Solid Earth,2019,124(11):11951-11971.
• [11] 吴浩，卢楠，邹进贵，等.GNSS 变形监测时间序列的改进型3σ粗差探测方法[J].武汉大学学报(信息科学版),2019,44(9):1282-1288.(WU Hao,LU Nan,ZOU Jingui,et al.An improved 3σ gross error detection method for GNSS deformation monitoring time series[J].Geomatics and Information Science of Wuhan University,2019,44(9):1282-1288.)
• [12] 王维，李鸿宇，叶碧文，等.形变观测序列变振幅年周期探测方法研究[J].大地测量与地球动力学，2020,40(1):7-10.(WANG Wei,LI Hongyu,YE Biwen,et al.Research on the method for annual period detection of variable amplitude for the time series of deformation[J].Journal of Geodesy and Geodynamics,2020,40(1):7-10.)
• [13] LIU B,DAI W,LIU N.Extracting seasonal deformations of the Nepal Himalaya region from vertical GPS position time series using independent component analysis[J].Advances in Space Research,2017,60(12):2910-2917.
• [14] 王方超，吕志平，邝英才，等.改进的半参数模型法在GNSS时间序列季节性信号提取中的应用[J].测绘科学技术学报，2020,37(1):32-38.(WANG Fangchao,LYU Zhiping,KUANG Yingcai,et al.The application of improved semi-parametric model method in seasonal signal extraction of GNSS time series[J].Journal of Geomatics Science and Technology,2020,37(1):32-38.)
• [15] 张双成，李振宇，何月帆，等.GNSS高程时间序列周期项的经验模态分解提取[J].测绘科学，2018,43(8):80-84,96.(ZHANG Shuangcheng,LI Zhenyu,HE Yuefan,et al.Extracting of periodic component of GNSS vertical time series using EMD[J].Science of Surveying and Mapping,2018,43(8):80-84,96.)
• [16] HOLLAND P W,WELSCH R E.Robust regression using iteratively reweighted least-squares[J].Communications in Statistics - Theory and Methods,1977,6(9):813-827.
• [17] BLEWITT G,HAMMOND W C,KREEMER C.Harnessing the GPS data explosion for interdisciplinary science[J].Eos,2018,99:EO104623.
• [18] BLEWITT G,KREEMER C,HAMMOND W C,et al.MIDAS robust trend estimator for accurate GPS station velocities without step detection[J].Journal of Geophysical Research:Solid Earth,2016,121(3):2054-2068.