高频单历元GPS周期性误差特性分析
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摘要
分析GPS高频单历元时间序列中的误差特性,采用中值滤波法消去高频噪声。经计算,偶然中误差在水平方向为±4~4.5mm,高程方向为±9mm。通过周期性重复解算、时间序列比对及相关系数最大化发现,GPS高频单历元时间序列中包含的周期性系统误差的重复周期为86 153~86 165s。通过对系统误差建模或差分,可消除时间序列中的系统性成分,提高GPS高频单历元数据处理的精度。
This paper analyzes the error characteristics of high-rate single-epoch GPS time series and uses the median filtering method to eliminate the high rate noise.Through calculation we determine that the accidental error in the horizontal direction is±4.0-4.5mm and in the elevation direction it is±9mm.By periodically repeating solutions,comparing the time series,and maximizing the correlation coefficient,the periodic system error is discovered in the high-rate single-epoch GPS time series.The repetition period is from 86 153 to 86 165 seconds.Through modeling or differencing the system errors,the system components can be eliminated from the time series,thus improving the data processing accuracy of high-rate single-epoch GPS.
This paper analyzes the error characteristics of high-rate single-epoch GPS time series and uses the median filtering method to eliminate the high rate noise.Through calculation we determine that the accidental error in the horizontal direction is±4.0-4.5mm and in the elevation direction it is±9mm.By periodically repeating solutions,comparing the time series,and maximizing the correlation coefficient,the periodic system error is discovered in the high-rate single-epoch GPS time series.The repetition period is from 86 153 to 86 165 seconds.Through modeling or differencing the system errors,the system components can be eliminated from the time series,thus improving the data processing accuracy of high-rate single-epoch GPS.
引文
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[14]范朋飞.高精度GPS站点坐标时间序列分析与应用[D].西安:长安大学,2013(Fan Pengfei.Analysis and Application of High-Precision Coordinate Time Series of GPS Site[D].Xi’an:Chang’an University,2013)
[2]ChenY Q,Huang D F,Ding X L.Measurement of Vibration of Tall Building With GPS:A Case Study[C].SPIE,2001
[3]戴吾蛟.GPS精密动态变形监测的数据处理与方法[D].长沙:中南大学,2007(Dai Wujiao.A Study of Data Processing for Precise Dynamic Deformation Monitoring Using GPS[D].Changsha:Central-South University,2007)
[4]Langbein J,Bock Y.High-Rate Real-Time GPS Network at Parkfield:Utility for Detecting Fault Slip and Seismic Displacements[J].Geophys Res Lett,2004,31(15):289-302
[5]Genrich J F,Bock Y.Instantaneous Geodetic Positioning with 10-50 Hz GPS Measurements:Noise Characteristics and Implications for Monitoring Networks[J].Journal of Geophysical Research Atmospheres,2006,111(B3):1 581-1 600
[6]Xu P L,Shi C,Fang R X,et al.High-Rate Precise Point Positioning(PPP)to Measure Seismic Wave Motions:An Experimental Comparison of GPS PPP with Inertial Measurement Units[J].J Geod,2013,87:361-372
[7]Bilich A,Cassidy J F,Larson K M.GPS Seismology:Application to the 2002 Mw7.9Denali Fault Earthquake[J].Bull Seismol Soc Am,2008(98):593-606
[8]苏小宁.高频GPS单历元定位方法及其在地震学中的应用研究[D].北京:中国地震局地震预测研究所,2011(Su Xiaoning.Study on High-Rate Epoch by Epoch GPS Positioning and Its Application in Seismology[D].Beijing:Institute of Earthquake Science,CEA,2011)
[9]Bock H,Dach R.High-Rate GPS Clock Corrections from CODE:Support of 1Hz Applications[J].Journal of Geodesy,2009,83(11):1 083-1 094
[10]Yokota Y,Koketsu K,Hikima K,et al.Ability of 1 Hz GPS Data to Infer the Source Process of A Medium-Sized Earthquake:the Case of the 2008Iwate-Miyagi Nairiku,Japan,Earthquake[J].Geophys Res Lett,2009,36(12)
[11]Zhong P,Ding X.Sidereal Filtering Based on Single Differences for Mitigating GPS Multipath Effects on Short Baselines[J].Journal of Geodesy,2009,84(2):145-158
[12]Seeber G,Menge F,Volksen C,et al.Precise GPS Positioning Improvements by Reducing Antenna and Site Dependent Effects[A]∥Advances in Positioning and Reference Frames[M].Springer,1998
[13]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(Fang Rongxin.High-Rate GPS Data Non-Difference Precise Processing and Its Application on Seismology[D].Wuhan:Wuhan University,2010)
[14]范朋飞.高精度GPS站点坐标时间序列分析与应用[D].西安:长安大学,2013(Fan Pengfei.Analysis and Application of High-Precision Coordinate Time Series of GPS Site[D].Xi’an:Chang’an University,2013)