摘要
针对各GNSS系统中不同的卫星轨道高度和运行角速度,结合病态性系统分析理论,对GNSS多系统基线解算中的病态性进行了分析和评价.首先,分析了病态性对参数求解的影响;然后,从卫星运动的角速度出发,采用条件数法对GPS,GLONASS以及北斗区域导航系统在独立解算不同长度基线中的病态性进行了对比研究;最后,对多系统融合之后模糊度解算过程中的病态性进行了评价.实验结果表明,GLONASS卫星运动的角速度最快,基线解算过程的病态性最弱,系数矩阵结构最好;以高轨卫星为主的北斗系统的病态性则最强.此外,基线解算过程的病态性强弱与基线的长短无关.在多系统融合之后,系数矩阵结构不会受北斗系统严重的病态性影响而明显变差,这有利于多系统融合中北斗系统模糊度的快速收敛.
Aiming at the different situations of satellites orbital altitude and angular velocity in GNSS（global navigation satellite system） multi-system,the ill-condition in baseline solution was analyzed and evaluated combined w ith the analysis theory on ill-conditioned system.First,the effect of illcondition on the solution of parameters w as analyzed.Then,form the view point of satellites’ angular velocities,the ill-condition in independent baseline solution of the GPS（global positioning system）,GLONASS（global navigation satellite system） and BDS（Beidou navigation satellite system） under different baseline-length data w as studied by using the condition-number method.Finally,the illcondition in multi-system integration w as valuated.The experimental results show that the GLONASS satellites run fastest,so the ill-condition is the w eakest and the coefficient matrix structure is the best.How ever,the ill-condition of the current BDS w hich mainly consists of high-orbit satellites is the strongest.Besides,the ill-condition in baseline solution is not related w ith the baseline length.For multi-system integration,the coefficient matrix structure is not obviously affected by the serious ill-condition of the BDS,w hich is conducive to the fast convergence of ambiguities resolution in baseline solution of the BDS.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2013年第4期753-757,共5页
Journal of Southeast University：Natural Science Edition
基金
"十二五"国家科技支撑计划资助项目(2012BAJ23B01)
关键词
GNSS多系统
基线解算
病态性
条件数
GNSS（global navigation satellite system） multi-system
baseline solution
ill-condition
condition number
