GPS广播星历轨道误差分布模型探讨
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摘要
针对卫星导航系统监测评估工作中存在的监测非实时、阈值设置不合理等问题,提出依据广播星历参数长期演化特点来确定误差分布模型的方法:选用iGMAS分析中心的广播星历及IGS事后精密星历对广播星历的轨道误差进行研究分析,并对误差分布模型进行假设检验。实验结果表明:IIF和IIR-M型卫星的轨道误差服从正态分布,IIR型卫星的轨道误差服从以2个正态分布组成的双峰分布。
Aiming at the problem that there exist non-real-time monitoring and unreasonable threshold settings in the monitoring and evaluation of navigation system,the paper proposed a method to determine the error distribution model based on the long-term evolution characteristics of broadcast ephemeris parameters:the broadcast ephemeris data from iGMAS Analysis Center and the IGS precise ephemeris data were utilized to analyze the orbital errors of broadcast ephemeris,and a hypothesis test of the error distribution model was implemented.Experimental result showed that the orbital errors of Block IIF and IIR-M satellites would obey the normal distribution,and the orbital error of Block IIR satellite would obey the bimodal distribution composed of two normal distributions.
Aiming at the problem that there exist non-real-time monitoring and unreasonable threshold settings in the monitoring and evaluation of navigation system,the paper proposed a method to determine the error distribution model based on the long-term evolution characteristics of broadcast ephemeris parameters:the broadcast ephemeris data from iGMAS Analysis Center and the IGS precise ephemeris data were utilized to analyze the orbital errors of broadcast ephemeris,and a hypothesis test of the error distribution model was implemented.Experimental result showed that the orbital errors of Block IIF and IIR-M satellites would obey the normal distribution,and the orbital error of Block IIR satellite would obey the bimodal distribution composed of two normal distributions.
引文
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[8]张养安,李俊锋,薛兆元,等.IGS精密星历和钟差的算法比较研究[J].地理信息世界,2016,23(4):45-49.
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[10]郭斐,张小红,李星星,等.GPS系列卫星广播星历轨道和钟的精度分析[J].武汉大学学报(信息科学版),2009,34(5):589-592.
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[13]岳鹏,朱坤平.基于随机模拟方法对正态概率纸检验的改进[J].统计与决策,2017(3):14-16.
[14]王霞迎,秘金钟,张德成,等.GPS广播星历位置、速度和钟差精度分析[J].大地测量与地球动力学,2014,34(3):164-168.
[15]徐鑫,郭民之,石峰利.双峰数据分布的模拟[J].云南师范大学学报,2013,33(2):46-51.
[16]冯祖德,涂铭旌,鄢文彬.韧性值呈双峰分布时参数的统计推断问题的探讨[J].理化检验:物理分册,1992,28(5):30-32.
[2]刘帅.卫星导航系统空间信号精度评估理论与算法研究[D].郑州:信息工程大学,2016.
[3]张耀文.GPS广播星历及其精度评估研究[D].西安:长安大学,2007.
[4]陈永就.GNSS广播星历的精度评定[J].测绘与空间地理信息,2015,38(6):186-191.
[5]MONTENBRUCK O,STEIGENBERGER P,HAUSCHILD A.Broadcast versus precise ephemerides:a multi-GNSS perspective[J].GPS Solutions,2015,19(2):321-333.
[6]刘磊,盛峥,王迎强,等.利用广播星历计算GPS卫星位置及误差分析[J].理工大学学报(自然科学版),2006,7(6):592-596.
[7]王俊杰,许杭,高俊强.基于广播星历改正实时精密星历与钟差获取研究[J].全球定位系统,2015,40(5):21-25.
[8]张养安,李俊锋,薛兆元,等.IGS精密星历和钟差的算法比较研究[J].地理信息世界,2016,23(4):45-49.
[9]吴继忠,高俊强,李明峰.IGS精密星历和钟差插值方法的研究[J].工程勘察,2009,37(7):52-54.
[10]郭斐,张小红,李星星,等.GPS系列卫星广播星历轨道和钟的精度分析[J].武汉大学学报(信息科学版),2009,34(5):589-592.
[11]沈宏峰,陈群.实用的卡方检验法[J].微型电脑应用,1997(5):61-63.
[12]庄楚强,何春雄.应用数理统计基础[M].3版.广州:华南理工大学出版社,2006.
[13]岳鹏,朱坤平.基于随机模拟方法对正态概率纸检验的改进[J].统计与决策,2017(3):14-16.
[14]王霞迎,秘金钟,张德成,等.GPS广播星历位置、速度和钟差精度分析[J].大地测量与地球动力学,2014,34(3):164-168.
[15]徐鑫,郭民之,石峰利.双峰数据分布的模拟[J].云南师范大学学报,2013,33(2):46-51.
[16]冯祖德,涂铭旌,鄢文彬.韧性值呈双峰分布时参数的统计推断问题的探讨[J].理化检验:物理分册,1992,28(5):30-32.