北斗卫星导航系统空间信号用户测距误差计算方法研究
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摘要
按照空间信号用户测距误差(User Range Error,URE)定义,参考GPS标准定位服务性能规范中URE的计算方法,结合北斗卫星导航系统(BDS)多星混合星座类型,在考虑仰角限制情况下,详细推导了适用于BDS的瞬时URE和均方根URE计算公式。利用广播星历和精密星历计算的卫星轨道误差和卫星钟钟差,带入所推导的公式,对BDS URE进行分析评估;并使用GNSS接收机原始观测量和伪距观测方程计算BDS URE,最后将两种计算结果进行对比分析。研究结果表明,两种方法 BDS URE的计算结果基本一致,在95%置信度情况下均小于2.5m,满足北斗公开服务性能规范中对空间信号URE的基本要求。
According to the definition of signal in space user range error(URE)and the root mean square URE(rmsURE) calculation method given in the Global Positioning System Standard Positioning Service Performance Standard(GPS-SPS-PS),the BeiDou Navigation Satellite System(BDS)instantaneous URE(IURE)and rmsURE formulas were deduced considering the elevation constrains.In addition,BDS URE was calculated by the ephemeris data,and the BDS receiver raw observations.The results show that the two methods match well,and both are less than 2.5 meters in the case of 95% confidence which meets the basic requirements of the signal in space URE given in the BDS open service performance standard(BDS-OS-PS).
According to the definition of signal in space user range error(URE)and the root mean square URE(rmsURE) calculation method given in the Global Positioning System Standard Positioning Service Performance Standard(GPS-SPS-PS),the BeiDou Navigation Satellite System(BDS)instantaneous URE(IURE)and rmsURE formulas were deduced considering the elevation constrains.In addition,BDS URE was calculated by the ephemeris data,and the BDS receiver raw observations.The results show that the two methods match well,and both are less than 2.5 meters in the case of 95% confidence which meets the basic requirements of the signal in space URE given in the BDS open service performance standard(BDS-OS-PS).
引文
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[15]李作虎.卫星导航系统性能监测及评估方法研究[D].郑州:解放军信息工程大学,2012:37-38.LI Z H.Research onmonitoring and assessment of satellite navigation system performance[D].Zhengzhou:The PLA Information Engineering University,2012:37-38(in Chinese).
[2]KENNETH B,WILLIAM M,ARTHUR D,et al.Dynamic uploading for GPS accuracy[J].Navigation:Journal of The Institute of Navigation,1998,45(1):17-30.
[3]U.S.Department of Defense.Global positioning system standard positioning service performance standard(4.0th ed)[R].Washington DC:U.S.DOD,2008:A17-A19.
[4]中国卫星导航系统管理办公室.北斗卫星导航系统公开服务性能规范(1.0版)[R].北京:中国卫星导航系统管理办公室,2013:12-14.BeiDou Navigation Satellite System Management Office of China.BeiDou navigation satellite systemopen service performance standard(1.0th ed)[S].Beijing:BeiDou Navigation Satellite System Management Office of China,2013:12-14(in Chinese).
[5]中国卫星导航系统管理办公室.北斗卫星导航系统空间信号接口控制文件公开服务信号(2.1版)[R].北京,中国卫星导航系统管理办公室:2016:1-2.BeiDou Navigation Satellite System Management Office of China.BeiDou navigation satellite system signal in space interface control document-open service signal(2.1th ed)[R].Beijing:BeiDou Navigation Satellite System Management Office of China,2016:1-2(in Chinese).
[6]胡志刚.北斗卫星导航系统性能评估理论与实验验证[D].武汉:武汉大学,2013:57-59.HU Z G.BeiDou navigation satellite system performance assessment theory and experimental verification[D].Wuhan:Wuhan University,2013:57-59(in Chinese).
[7]GAETANO G,MANUEL S,FRANCISCO G,et al.GIOVE-B navigation message performance analysis and signal in space user ranging error(SISRE)characterization[C]∥GNSS 2009.Savannah,GA:ION GNSS,2009:3018-3024.
[8]文援兰,苏天祥,符京扬.卫星导航系统URE计算方法研究[C]∥第四届中国卫星导航学术年会论文集.北京:中国卫星导航学术年会,2013:1-3.WEN Y L,SU T X,FU J Y.The research on the method of calculating the URE of the satellite navigation system[C]∥The fourth Chinese Satellite Navigation Conference electronic.Beijing:CSNC,2013:1-3(in Chinese).
[9]李济生.人造卫星精密轨道确定[M].北京:解放军出版社,1995.LI J S.Precision orbit determination of artificial satellites[M].Beijing:The people′s Liberation Army press,1995(in Chinese).
[10]何玉晶,杨力.基于拉格朗日插值方法的GPS IGS精密星历插值分析[J].测绘工程,2011,20(5):60-63.HE Y J,YANG L.Analysis of interpolation results on GPS IGS precise ephemeris based on Lagrange interpolation[J].Engineering of Surveying and Mapping,2011,20(5):60-63(in Chinese).
[11]陈国.北斗卫星导航系统下行导航电文定位性能评估[D].武汉:武汉大学,2013:25-29.CHEN G.Performance assessment of down navigation message positioning of BeiDou satellite navigation system[D].Wuhan:Wuhan University,2013:25-29(in Chinese).
[12]李征航,文武,李昭.GPS广播星历的轨道误差分析[J].大地测量与地球动力学,2008,28(1):50-54.LI Z H,WEN W,LI Z.Error analysis of orbit determined by GPS broadcast ephemeris[J].Journal of Geodesy and Geodynamics,2008,28(1):50-54(in Chinese).
[13]GRACE X X G,TANG H C,JUAN B,et al.Methodology and case studies of signal-in-space error calculation top-down meets bottom-up[C]∥GNSS 2009.Savannah,GA:ION GNSS,2009:2824-2831.
[14]谢钢.GPS原理与接收机设计[M].北京:电子工业出版社,2009:69-72.XIE G.GPS principle and receiver design[M].Beijing:Electronic Industry Press,2009:69-72(in Chinese).
[15]李作虎.卫星导航系统性能监测及评估方法研究[D].郑州:解放军信息工程大学,2012:37-38.LI Z H.Research onmonitoring and assessment of satellite navigation system performance[D].Zhengzhou:The PLA Information Engineering University,2012:37-38(in Chinese).