顾及分段相似性的同震形变时间序列恒星日滤波优化算法
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摘要
在常规恒星日滤波的基础上,提出一种顾及分段相似性的恒星日滤波优化算法。在构建滤波算子之前,首先确定用于构建滤波的坐标残差时间序列与地震当天坐标残差时间序列的分段相似性,然后根据相似性度量指标的大小确定权重后再进行滤波。研究结果表明:利用本文提出的顾及分段相似性的恒星日滤波优化方法能够显著改善单历元定位的精度和可靠性,克服常规滤波方法存在的缺陷,有利于恒星日滤波的无人工干预批处理。尤其是通用影像质量评价指数UIQI方法顾及了时间序列间的相关系数以及序列自身的均值和方差,比其他相似性度量更加科学合理,建议采用UIQI作为恒星日滤波优化算法的相似性度量。
Based on the traditional sidereal filtering method,an improved sidereal filtering method is put forward,accounting for segments’similarity,namely before building filtering operator.Firstly determine the segments’ similarity of the coordinates time series between earthquake day and before that day or after that day,and then based on the similarity measure index to identify weight of each day for filtering.Different similarity measure indicators are analyzed.After that the universal image quality index(UIQI)method is recommended as the similarity measure for the improved sidereal filtering.It’s more scientific and reasonable than other similarity measure which considers the correlation coefficient between two series,own mean value and variance as well.The results show that the improved sidereal filtering can effectively improve the single epoch positioning accuracy and reliability,completely overcome the defects of traditional filtering method,is beneficial to batch processing without manual intervention.
Based on the traditional sidereal filtering method,an improved sidereal filtering method is put forward,accounting for segments’similarity,namely before building filtering operator.Firstly determine the segments’ similarity of the coordinates time series between earthquake day and before that day or after that day,and then based on the similarity measure index to identify weight of each day for filtering.Different similarity measure indicators are analyzed.After that the universal image quality index(UIQI)method is recommended as the similarity measure for the improved sidereal filtering.It’s more scientific and reasonable than other similarity measure which considers the correlation coefficient between two series,own mean value and variance as well.The results show that the improved sidereal filtering can effectively improve the single epoch positioning accuracy and reliability,completely overcome the defects of traditional filtering method,is beneficial to batch processing without manual intervention.
引文
[1]BILICH A,CASSIDY J F,LARSON K M.GPS Seismology:Application to the 2002 Mw7.9 Denali Fault Earthquake[J].Bulletin of the Seismological Society of America,2008,98(2):593-606.
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[3]XU Caijun,LIU Yang,WEN Yangmao.Mw7.9 WenchuanEarthquake Slip Distribution Inversion from GPSMeasurements[J].Acta Geodaetica et Cartographica Sinica,2009,38(3):195-201.(许才军,刘洋,温扬茂.利用GPS资料反演汶川Mw7.9级地震滑动分布[J].测绘学报,2009,38(3):195-201.)
[4]ZHONG Ping,DING Xiaoli,ZHENG Dawei,et al.Filter-basedGPS Structural Vibration Monitoring Methods and Comparisonof Their Performances[J].Acta Geodaetica et CartographicaSinica,2007,36(1):31-36.(钟萍,丁晓利,郑大伟,等.GPS结构振动监测数据滤波方法及其性能实验研究[J].测绘学报,2007,36(1):31-36.)
[5]BOCK Y.Continuous Monitoring of Crustal Deformation[J].GPS World,1991,2(6):40-47.
[6]GENRICH J F,BOCK Y.Rapid Resolution of Crustal Motionat Short Ranges with the Global Positioning System[J].Journal of Geophysical Research,1992,97(B3):3261-3269.
[7]HUANG Dingfa,DING Xiaoli,CHEN Yongqi,et al.WaveletFilters Based Separation of GPS Multipath Effects andEngineering Structural Vibrations[J].Acta Geodaetica etCartographica Sinica,2001,30(1):36-41.(黄丁发,丁晓利,陈永奇,等.GPS多路径效应影响与结构振动的小波滤波筛分研究[J].测绘学报,2001,30(1):36-41.)
[8]XIONG Yongliang,DING Xiaoli,HUANG Dingfa,et al.Integrated Single Epoch Algorithm Based on WaveletTransform and Its Application to Structural VibrationMonitoring[J].Acta Geodaetica et Cartographica Sinica,2005,34(3):202-207.(熊永良,丁晓利,黄丁发,等.基于小波变换的单历元算法及其在结构振动监测中的应用研究[J].测绘学报,2005,34(3):202-207.
[9]SEEBER G,MENGE F,VOLKSEN C,et al.Precise GPSPositioning Improvements by Reducing Antenna and SiteDependent Effects[C]∥Advances in Positioning and ReferenceFrames.Berlin:Springer,1997:237-244.
[10]PARK K D,NEREM R S,SCHENEWERK M S,et al.Site-specific Multipath Characteristics of Global IGS andCORS GPS Sites[J].Journal of Geodesy,2004,77(12):799-803.
[11]CHOI K,BILICH A,LARSON M,et al.Modified SiderealFiltering:Implications for High-rate GPS Positioning[J].Geophysical Research Letters,2004,31(22):1-4.
[12]AGNEW D C,LARSON K M.Finding the Repeat Timesof the GPS Constellation[J].GPS Solutions,2006,11(1):71-76.
[13]LARSON K M,BILICH A,AXELRAD P.Improving thePrecision of High-rate GPS[J].Journal of GeophysicalResearch:Solid Earth,2007,112(B05):1-11.
[14]YIN Haitao,GAN Weijun,XIAO Genru.Modified SiderealFilter and Its Effect on High-rate GPS Positioning[J].Geomatics and Informaton Science of Wuhan University,2011,36(5):609-611.(殷海涛,甘卫军,肖根如.恒星日滤波的修正以及对高频GPS定位的影响研究[J].武汉大学学报:信息科学版,2011,36(5):609-611.)
[15]FANG Jiaguo.Time Series Data Mining Based on SimilarityAnalysis[D].Hangzhou:Zhejiang University,2011.(方加果.基于相似性分析的时间序列数据挖掘算法研究[D].杭州:浙江大学,2011.)
[16]YANG Kang,LI Manchun,LIU Yongxue,et al.AccumulatedSimilarity Surface for Spatial Weights Matrix Construction[J].Acta Geodaetica et Cartographica Sinica,2012,41(2):259-265.(杨康,李满春,刘永学,等.基于累积相似度表面的空间权重矩阵构建方法[J].测绘学报,2012,41(2):259-265.)
[17]ZHANG Jun.Research on Data Mining Technology ofPattern-based Similarity Search in Time Series Database[D].Nanjing:Southeast University,2006.(张军.基于时间序列相似性的数据挖掘方法研究[D].南京:东南大学,2006.)
[18]WANG Z,BOVIK A C.A Universal Image Quality Index[J].IEEE Signal Processing Letters,2002,9(3):81-84.
[19]FANG Rongxin,SHI Chuang,GU Shengfeng.PrecisePoint Positioning with High-rate GPS Data Applied toSeismic Displacements Analysis[J].Geomatics andInformaton Science of Wuhan University,2009,34(11):1340-1343.(方荣新,施闯,辜声峰.基于PPP动态定位技术的同震地表形变分析[J].武汉大学学报:信息科学版,2009,34(11):1340-1343.)
[20]FANG Rongxin.High-rate GPS Data Non-difference PreciseProcessing and Its Application on Seismology[D].Wuhan:Wuhan University,2010.(方荣新.高采样率GPS数据非差精密处理方法及其在地震学中的应用研究[D].武汉:武汉大学,2010.)
[21]ZHANG Qian,WANG Zhihe,ZHANG Guozhi.AnAlgorithm for Discovering Positive and Negative Associa-tion Rules Based on Correlation Coefficient[J].Journalof Shanxi University of Technology,2005,21(4):35-38.(张倩,王治和,张国治.基于相关系数的正、负关联规则挖掘算法[J].陕西理工学院学报,2005,21(4):35-38.)
[2]MENG Guojie,REN Jinwei,JIN Honglin,et al.Data Pro-cessing Methods of High Rate GPS and Its Application toSeismology[J].Recent Developments in World Seismology,2007(7):613-620.(孟国杰,任金卫,金红林,等.GPS高频数据处理方法及其在地震学中的应用研究进展[J].国际地震动态,2007(7):26-30.)
[3]XU Caijun,LIU Yang,WEN Yangmao.Mw7.9 WenchuanEarthquake Slip Distribution Inversion from GPSMeasurements[J].Acta Geodaetica et Cartographica Sinica,2009,38(3):195-201.(许才军,刘洋,温扬茂.利用GPS资料反演汶川Mw7.9级地震滑动分布[J].测绘学报,2009,38(3):195-201.)
[4]ZHONG Ping,DING Xiaoli,ZHENG Dawei,et al.Filter-basedGPS Structural Vibration Monitoring Methods and Comparisonof Their Performances[J].Acta Geodaetica et CartographicaSinica,2007,36(1):31-36.(钟萍,丁晓利,郑大伟,等.GPS结构振动监测数据滤波方法及其性能实验研究[J].测绘学报,2007,36(1):31-36.)
[5]BOCK Y.Continuous Monitoring of Crustal Deformation[J].GPS World,1991,2(6):40-47.
[6]GENRICH J F,BOCK Y.Rapid Resolution of Crustal Motionat Short Ranges with the Global Positioning System[J].Journal of Geophysical Research,1992,97(B3):3261-3269.
[7]HUANG Dingfa,DING Xiaoli,CHEN Yongqi,et al.WaveletFilters Based Separation of GPS Multipath Effects andEngineering Structural Vibrations[J].Acta Geodaetica etCartographica Sinica,2001,30(1):36-41.(黄丁发,丁晓利,陈永奇,等.GPS多路径效应影响与结构振动的小波滤波筛分研究[J].测绘学报,2001,30(1):36-41.)
[8]XIONG Yongliang,DING Xiaoli,HUANG Dingfa,et al.Integrated Single Epoch Algorithm Based on WaveletTransform and Its Application to Structural VibrationMonitoring[J].Acta Geodaetica et Cartographica Sinica,2005,34(3):202-207.(熊永良,丁晓利,黄丁发,等.基于小波变换的单历元算法及其在结构振动监测中的应用研究[J].测绘学报,2005,34(3):202-207.
[9]SEEBER G,MENGE F,VOLKSEN C,et al.Precise GPSPositioning Improvements by Reducing Antenna and SiteDependent Effects[C]∥Advances in Positioning and ReferenceFrames.Berlin:Springer,1997:237-244.
[10]PARK K D,NEREM R S,SCHENEWERK M S,et al.Site-specific Multipath Characteristics of Global IGS andCORS GPS Sites[J].Journal of Geodesy,2004,77(12):799-803.
[11]CHOI K,BILICH A,LARSON M,et al.Modified SiderealFiltering:Implications for High-rate GPS Positioning[J].Geophysical Research Letters,2004,31(22):1-4.
[12]AGNEW D C,LARSON K M.Finding the Repeat Timesof the GPS Constellation[J].GPS Solutions,2006,11(1):71-76.
[13]LARSON K M,BILICH A,AXELRAD P.Improving thePrecision of High-rate GPS[J].Journal of GeophysicalResearch:Solid Earth,2007,112(B05):1-11.
[14]YIN Haitao,GAN Weijun,XIAO Genru.Modified SiderealFilter and Its Effect on High-rate GPS Positioning[J].Geomatics and Informaton Science of Wuhan University,2011,36(5):609-611.(殷海涛,甘卫军,肖根如.恒星日滤波的修正以及对高频GPS定位的影响研究[J].武汉大学学报:信息科学版,2011,36(5):609-611.)
[15]FANG Jiaguo.Time Series Data Mining Based on SimilarityAnalysis[D].Hangzhou:Zhejiang University,2011.(方加果.基于相似性分析的时间序列数据挖掘算法研究[D].杭州:浙江大学,2011.)
[16]YANG Kang,LI Manchun,LIU Yongxue,et al.AccumulatedSimilarity Surface for Spatial Weights Matrix Construction[J].Acta Geodaetica et Cartographica Sinica,2012,41(2):259-265.(杨康,李满春,刘永学,等.基于累积相似度表面的空间权重矩阵构建方法[J].测绘学报,2012,41(2):259-265.)
[17]ZHANG Jun.Research on Data Mining Technology ofPattern-based Similarity Search in Time Series Database[D].Nanjing:Southeast University,2006.(张军.基于时间序列相似性的数据挖掘方法研究[D].南京:东南大学,2006.)
[18]WANG Z,BOVIK A C.A Universal Image Quality Index[J].IEEE Signal Processing Letters,2002,9(3):81-84.
[19]FANG Rongxin,SHI Chuang,GU Shengfeng.PrecisePoint Positioning with High-rate GPS Data Applied toSeismic Displacements Analysis[J].Geomatics andInformaton Science of Wuhan University,2009,34(11):1340-1343.(方荣新,施闯,辜声峰.基于PPP动态定位技术的同震地表形变分析[J].武汉大学学报:信息科学版,2009,34(11):1340-1343.)
[20]FANG Rongxin.High-rate GPS Data Non-difference PreciseProcessing and Its Application on Seismology[D].Wuhan:Wuhan University,2010.(方荣新.高采样率GPS数据非差精密处理方法及其在地震学中的应用研究[D].武汉:武汉大学,2010.)
[21]ZHANG Qian,WANG Zhihe,ZHANG Guozhi.AnAlgorithm for Discovering Positive and Negative Associa-tion Rules Based on Correlation Coefficient[J].Journalof Shanxi University of Technology,2005,21(4):35-38.(张倩,王治和,张国治.基于相关系数的正、负关联规则挖掘算法[J].陕西理工学院学报,2005,21(4):35-38.)
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