GNSS变形监测时间序列的改进型3σ粗差探测方法
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摘要
针对全球导航卫星系统(global navigation satellite system,GNSS)变形监测时间序列中粗差多、大小分布区间大的特点,提出了一种基于小波分析的改进型3σ粗差探测方法。利用实验模拟数据和实际工程数据,分别对该方法的探测效果同常规3σ法和四分位间距(inter-quartile range,IQR)法进行对比。结果表明,改进型3σ粗差探测法相对于常规3σ法和IQR法,不仅在总体探测率上效果更好,而且对探测3σ～5σ粗差的优势更为明显,满足了高可靠性的GNSS变形监测实际需求。
Aiming at the characteristics of quantity and fluctuation range on the gross error from global navigation satellite system(GNSS) deformation monitoring time series, we propose an improved 3σ method of gross error detection based on wavelet analysis. We use simulated data and actual engineering data, and compare the detection results with the traditional 3σ method and inter-quartile range(IQR) method respectively. The experimental results show that compared with the traditional 3σ method and IQR method, the improved 3σ method not only has better effect on the overall detection rate, but also has more obvious advantages in detecting 3σ to 5σ gross error. Thus, it is more suitable for the actual requirement of GNSS deformation monitoring project.
Aiming at the characteristics of quantity and fluctuation range on the gross error from global navigation satellite system(GNSS) deformation monitoring time series, we propose an improved 3σ method of gross error detection based on wavelet analysis. We use simulated data and actual engineering data, and compare the detection results with the traditional 3σ method and inter-quartile range(IQR) method respectively. The experimental results show that compared with the traditional 3σ method and IQR method, the improved 3σ method not only has better effect on the overall detection rate, but also has more obvious advantages in detecting 3σ to 5σ gross error. Thus, it is more suitable for the actual requirement of GNSS deformation monitoring project.
引文
[1] Wu Hao,Yin Ya,Wang Shijie,et al. Optimizing GPS-Guidance Transit Route for Cable Crane Collision Avoidance Using Artificial Immune Algorithm[J]. GPS Solutions,2017,21(2):823-834
[2] Wu Hao,Huang Chuang,Zhang Jianhua,et al. Deformation Monitoring System for High Slope in Open Pit Mine with the Integration of GNSS and GIS[J]. Geomatics and Information Science of Wuhan University,2015,40(5):706-710(吴浩，黄创，张建华，等. GNSS/GIS集成的露天矿高边坡变形监测系统研究与应用[J].武汉大学学报·信息科学版，2015,40(5):706-710)
[3] Liu Henghui,Ding Jian,Wang Fan. The Applications of Kalman Filter Gross Error Detection in GPS Deformation Monitoring[J]. GNSS World of China,2013,38(1):87-90(刘恒辉，丁健，王璠.卡尔曼滤波粗差探测在GPS变形监测中的应用[J].全球定位系统，2013,38(1):87-90)
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[5] Nikolaidis R. Observation of Geodetic and Seismic Deformation with the Global Positioning System[J]. Cancer Research,2002,71(8):714
[6] Zhang Hengjing,Cheng Pengfei. Study on Robust Detection and Interpolation from Gross Errors of GPS Height Time Series[J]. Journal of Geodesy and Geodynamics,2011,31(4):71-75(张恒璟，程鹏飞.基于GPS高程时间序列粗差的抗差探测与插补研究[J].大地测量与地球动力学，2011,31(4):71-75)
[7] Xu Hongzhong,Wu Zhongru,Li Xuehong,et al.Abstracting Trend Component of Dam Observation Data Based on Wavelet Analysis[J]. Engineering Journal of Wuhan University,2003,36(6):5-8(徐洪钟，吴中如，李雪红，等.基于小波分析的大坝变形观测数据的趋势分量提取[J].武汉大学学报(工学版)，2003,36(6):5-8)
[8] Huang Liren,Han Yueping,Gao Yanlong,et al. Several Issues in Appliation of Elevation Compoment Time Series of GNSS CORS in Vertical Crustal Movement Studying[J]. Journal of Geodesy and Geodynamics,2012,32(4):10-14(黄立人，韩月萍，高艳龙，等. GNSS连续站坐标的高程分量时间序列在地壳垂直运动研究中应用的若干问题[J].大地测量与地球动力学，2012,32(4):10-14)
[9] Cheng Yingyan,Wang Xiaoming,Wu Suqin,et al.An Effective Toolkit for the Interpolation and Gross Error Detection of GPS Time Series[J]. Empire Survey Review,2016,48(348):202-211
[10] Li Xipan,Hu Jing,Li Haigang. Research on Model of Gross Error Identification for GPS Dynamic Deformation Data Based on Wavelet Analysis[J]. Bulletin of Surveying and Mapping,2011(4):7-9(李喜盼，扈静，李海刚.基于小波分析的GPS动态变形数据粗差识别模型研究[J].测绘通报，2011(4):7-9)
[11] Wang Jian,Gao Jingxiang,Miao Lili. Strong Contaminated Single Epoch GPS Deformation Signals Extracting and Gross Error Detection[J]. Geomatics and Information Science of Wuhan University,2004,29(5):416-419(王坚，高井祥，苗李莉.强污染单历元GPS形变信号的提取和粗差识别[J].武汉大学学报·信息科学版，2004,29(5):416-419)
[12] Feng Xiaolei,Hua Xisheng,Huang Hongnü. GrossError Detection for Observation Data Series[J]. Hydropower Automation and Dam Monitoring,2006,30(3):56-59(冯小磊，华锡生，黄红女.观测值序列的粗差探测方法[J].水电与抽水蓄能，2006,30(3):56-59)
[13] Li Jianping. Wavelet Analysis and Signal ProcessingTheory,Application and Software Realization[M].Chongqing:Chongqing Press,1997(李建平.小波分析与信号处理：理论、应用及软件实现[M].重庆：重庆出版社，1997)
[14] Zhang Bin,Sun Jing. A Power Quality Analysis Method Based on Mallat Algorithm and Fast Fourier Transform[J]. Power System Technology,2007(19):35-40(张斌，孙静.基于Mallat算法和快速傅里叶变换的电能质量分析方法[J].电网技术，2007(19):35-40)
[15] Ma Pan,Meng Lingkui,Wen Hongyan. Kalman Filtering Model of Dynamic Deformation Based on Wavelet Analysis[J]. Geomatics and Information Science of Wuhan University,2004,29(4):349-353(马攀，孟令奎，文鸿雁.基于小波分析的Kalman滤波动态变形模型研究[J].武汉大学学报·信息科学版，2004,29(4):349-353)
[16] Jiang Tingcheng,Zhang Qin,Zhou Li,et al. Research on Nonlinear Regression Based on Wavelet Method[J]. Acta Geodaetica et Cartographica Sinica,2006,35(4):337-341(蒋廷臣，张勤，周立，等.基于小波方法的非线性回归模型研究[J].测绘学报，2006,35(4):337-341)
[17] Li Zongchun,Deng Yong,Zhang Guanyu,et al.Determination of Best Grading of Wavelet Transform in Deformation Measurement Data Filtering[J]. Geomatics and Information Science of Wuhan University,2011,36(3):285-288(李宗春，邓勇，张冠宇，等.变形测量异常数据处理中小波变换最佳级数的确定[J].武汉大学学报·信息科学版，2011,36(3):285-288)
[18] Ren Chao, Sha Lei, Lu Xianjian. An Adaptive Wavelet Threshold De-nosing Both in Low and High Frequency Domains[J]. Geomatics and Information Science of Wuhan University,2012,37(7):873-875(任超，沙磊，卢献健.一种改进小波阀值算法的变形监测数据滤波方法[J].武汉大学学报·信息科学版，2012,37(7):873-875)
[19] Lu Chenlong,Kuang Cuilin,Yi Chonghai,et al.Singular Spectrum Analysis Filter Method for Mitigation of GPS Multipath Error[J]. Geomatics and Information Science of Wuhan University,2015,40(7):924-931(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)
[2] Wu Hao,Huang Chuang,Zhang Jianhua,et al. Deformation Monitoring System for High Slope in Open Pit Mine with the Integration of GNSS and GIS[J]. Geomatics and Information Science of Wuhan University,2015,40(5):706-710(吴浩，黄创，张建华，等. GNSS/GIS集成的露天矿高边坡变形监测系统研究与应用[J].武汉大学学报·信息科学版，2015,40(5):706-710)
[3] Liu Henghui,Ding Jian,Wang Fan. The Applications of Kalman Filter Gross Error Detection in GPS Deformation Monitoring[J]. GNSS World of China,2013,38(1):87-90(刘恒辉，丁健，王璠.卡尔曼滤波粗差探测在GPS变形监测中的应用[J].全球定位系统，2013,38(1):87-90)
[4] Zeng Zhilin. Research on Gross Error Detection and Location of GPS Engineering Network[D]. Tianjin:Nankai University,2006(曾志林. GPS工程网粗差探测与定位研究[D].天津：南开大学，2006)
[5] Nikolaidis R. Observation of Geodetic and Seismic Deformation with the Global Positioning System[J]. Cancer Research,2002,71(8):714
[6] Zhang Hengjing,Cheng Pengfei. Study on Robust Detection and Interpolation from Gross Errors of GPS Height Time Series[J]. Journal of Geodesy and Geodynamics,2011,31(4):71-75(张恒璟，程鹏飞.基于GPS高程时间序列粗差的抗差探测与插补研究[J].大地测量与地球动力学，2011,31(4):71-75)
[7] Xu Hongzhong,Wu Zhongru,Li Xuehong,et al.Abstracting Trend Component of Dam Observation Data Based on Wavelet Analysis[J]. Engineering Journal of Wuhan University,2003,36(6):5-8(徐洪钟，吴中如，李雪红，等.基于小波分析的大坝变形观测数据的趋势分量提取[J].武汉大学学报(工学版)，2003,36(6):5-8)
[8] Huang Liren,Han Yueping,Gao Yanlong,et al. Several Issues in Appliation of Elevation Compoment Time Series of GNSS CORS in Vertical Crustal Movement Studying[J]. Journal of Geodesy and Geodynamics,2012,32(4):10-14(黄立人，韩月萍，高艳龙，等. GNSS连续站坐标的高程分量时间序列在地壳垂直运动研究中应用的若干问题[J].大地测量与地球动力学，2012,32(4):10-14)
[9] Cheng Yingyan,Wang Xiaoming,Wu Suqin,et al.An Effective Toolkit for the Interpolation and Gross Error Detection of GPS Time Series[J]. Empire Survey Review,2016,48(348):202-211
[10] Li Xipan,Hu Jing,Li Haigang. Research on Model of Gross Error Identification for GPS Dynamic Deformation Data Based on Wavelet Analysis[J]. Bulletin of Surveying and Mapping,2011(4):7-9(李喜盼，扈静，李海刚.基于小波分析的GPS动态变形数据粗差识别模型研究[J].测绘通报，2011(4):7-9)
[11] Wang Jian,Gao Jingxiang,Miao Lili. Strong Contaminated Single Epoch GPS Deformation Signals Extracting and Gross Error Detection[J]. Geomatics and Information Science of Wuhan University,2004,29(5):416-419(王坚，高井祥，苗李莉.强污染单历元GPS形变信号的提取和粗差识别[J].武汉大学学报·信息科学版，2004,29(5):416-419)
[12] Feng Xiaolei,Hua Xisheng,Huang Hongnü. GrossError Detection for Observation Data Series[J]. Hydropower Automation and Dam Monitoring,2006,30(3):56-59(冯小磊，华锡生，黄红女.观测值序列的粗差探测方法[J].水电与抽水蓄能，2006,30(3):56-59)
[13] Li Jianping. Wavelet Analysis and Signal ProcessingTheory,Application and Software Realization[M].Chongqing:Chongqing Press,1997(李建平.小波分析与信号处理：理论、应用及软件实现[M].重庆：重庆出版社，1997)
[14] Zhang Bin,Sun Jing. A Power Quality Analysis Method Based on Mallat Algorithm and Fast Fourier Transform[J]. Power System Technology,2007(19):35-40(张斌，孙静.基于Mallat算法和快速傅里叶变换的电能质量分析方法[J].电网技术，2007(19):35-40)
[15] Ma Pan,Meng Lingkui,Wen Hongyan. Kalman Filtering Model of Dynamic Deformation Based on Wavelet Analysis[J]. Geomatics and Information Science of Wuhan University,2004,29(4):349-353(马攀，孟令奎，文鸿雁.基于小波分析的Kalman滤波动态变形模型研究[J].武汉大学学报·信息科学版，2004,29(4):349-353)
[16] Jiang Tingcheng,Zhang Qin,Zhou Li,et al. Research on Nonlinear Regression Based on Wavelet Method[J]. Acta Geodaetica et Cartographica Sinica,2006,35(4):337-341(蒋廷臣，张勤，周立，等.基于小波方法的非线性回归模型研究[J].测绘学报，2006,35(4):337-341)
[17] Li Zongchun,Deng Yong,Zhang Guanyu,et al.Determination of Best Grading of Wavelet Transform in Deformation Measurement Data Filtering[J]. Geomatics and Information Science of Wuhan University,2011,36(3):285-288(李宗春，邓勇，张冠宇，等.变形测量异常数据处理中小波变换最佳级数的确定[J].武汉大学学报·信息科学版，2011,36(3):285-288)
[18] Ren Chao, Sha Lei, Lu Xianjian. An Adaptive Wavelet Threshold De-nosing Both in Low and High Frequency Domains[J]. Geomatics and Information Science of Wuhan University,2012,37(7):873-875(任超，沙磊，卢献健.一种改进小波阀值算法的变形监测数据滤波方法[J].武汉大学学报·信息科学版，2012,37(7):873-875)
[19] Lu Chenlong,Kuang Cuilin,Yi Chonghai,et al.Singular Spectrum Analysis Filter Method for Mitigation of GPS Multipath Error[J]. Geomatics and Information Science of Wuhan University,2015,40(7):924-931(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)
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