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1、第二届中国卫星导航学术年会CSNC2011SaturatedGDOPValueAnalysisinSatelliteNavigationConstellationHanTao1,2,LuXiaochun1,2,RaoYongnan1,2,WangPei1,2,ZhangFan1,2,3,WuYangyang41.NationalTimeServiceCenter,Xi’an710600,PRChina2.KeyLaboratoryofPrecisionNavigationandTimingTechnology,Chi
2、neseAcademyofSciences,Xi’an710600,PRChina3.GraduateSchooloftheChineseAcademyofScience,Beijing100040,PRChina4.DepartmentofEconomicsandManagement,NorthwestUniversity,Xi'an,710127,PRChina1.hantao@ntsc.ac.cn,2.magic.hitlen@gmail.comAbstract:AmongthedevelopmentofGlo
3、balNavigationSatelliteSystem(GNSS),moreandmorenavigationsatellitesinthespacewillprovideserviceforusers,whichalsoleadabetterGeometricDilutionofPrecision(GDOP).ThefactofGDOPimprovementleadsaquestionthatwhetherthereexistalimitednumberofvisiblesatellitestomaketheGD
4、OPimprovementmeetsasaturatedvalue?Usinghypothesistestinganddifferentialdynamicalsystem,wetakethefourchannelreceiverasanexampleandprovedtheinexistenceofthesaturatedGDOPvalue.Firstly,thedefinitionofGDOPisintroduced,andcalculatedtheminimalGDOPvalueoffourchannelrec
5、eiver.Withoutconsideringtheconstellationstructure,wegottheaverageGDOPvalueofdifferentnumberofvisiblesatelliteinfourchannelreceiverviaF-distributionhypothesistesting.Next,adifferentialdynamicalsystemsimilarasMalthusmodelwasbuilttodepictthefunctionbetweenvisibles
6、atellitenumberandaverageGDOPvalue.Insuccession,coefficientsweredeterminedviathesimulationresults.ThentheinexistenceofsaturatedGDOPvalueisprovedfrombothqualitativelyandquantitatively.Atlast,bydefiningtheweeksaturatedandusinggeometricalmodel,thesatellitenumberinc
7、onstellationwhenweeksaturatedisgiven.Keywords:GDOP;hypothesistesting;F-distribution;differentialdynamicalsystem导航卫星星座几何精度因子饱和值分析韩涛1，2，卢晓春1，2，饶永南1，2，王沛1，2，张帆1，2，3，吴杨扬41．国家授时中心，导航与通信研究室，陕西省西安市，7106002．中国科学院精密导航定位与定时技术重点实验室，陕西省西安市，7106003.中国科学院研究生院，北京，1000404.西北大学
8、经济管理学院，陕西省西安市，7101271.hantao@ntsc.ac.cn,2.magic.hitlen@gmail.com【摘要】随着全球导航卫星系统(GNSS)的发展，空间中越来越多的导航卫星可以为用户提供定位服务，并改善了定位时的几何精度因子(GDOP)。随之引申出这样的问题：是否存在一个可视卫星数目的极限值对GDOP的改善达到饱和？
