BeiDou+GLONASS+Galileo多系统组合SPP稳定性和精度分析
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摘要
利用间接平差法和最小二乘法原理推导了BeiDou+GLONASS+Galileo三系统组合标准单点定位(SPP)的数学模型;然后采用MGEX站的部分测站的观测数据,综合分析了BeiDou/GLONASS/Galileo不同组合模式的可见卫星数、DOP值、定位稳定性和定位精度等方面内容。试验结果表明:相比单系统(BeiDou、GLONASS、Galileo)、双系统(BeiDou+GLONASS、BeiDou+Galileo、GLONASS+Galileo),BeiDou+GLONASS+Galileo三系统组合的DOP值分别减少30%~55%、10%~50%;可见卫星数分别增加60%~120%、10%~110%。此外,在截止高度角大于30°的情况下,单系统和双系统的DOP值都较大且波动不稳定,定位可靠性和历元可用率会显著降低,而BeiDou+GLONASS+Galileo组合仍能获得比较理想的定位结果,这对于建筑物密集区、山区和卫星遮挡较为严重的恶劣条件下具有实际应用价值。
Based on the indirect adjustment method and the principle of least squares,the mathematical model of the combined standard single point positioning( SPP) of Bei Dou+GLONASS+Galileo system is deduced.Then,using the observation data from some stations of the MGEX station,authors comprehensively analyze the number of visible satellites,DOP values,positioning stability,and positioning accuracy from different combinations of Bei Dou,GLONASS or Galileo.The experimental results show that the DOP values of the Bei Dou+GLONASS+Galileo three-system combination is reduced by 30% ~ 55% and 10% ~ 50% respectively compared to the single system( Bei Dou,GLONASS,Galileo) and the dual system( Bei Dou + GLONASS,Bei Dou + Galileo,GLONASS + Galileo). Visible satellites increased by 60% ~ 120% and 10% ~ 110% respectively.In addition,with a cut-off elevation angle greater than 30°,the DOP values of single-system and dual-system are large and fluctuating.The positioning reliability and epoch availability are significantly reduced,while the Bei Dou+GLONASS+Galileo combination can still get better positioning results.This has practical application value under the harsh conditions of building-intensive areas,mountains and satellite shelters.
Based on the indirect adjustment method and the principle of least squares,the mathematical model of the combined standard single point positioning( SPP) of Bei Dou+GLONASS+Galileo system is deduced.Then,using the observation data from some stations of the MGEX station,authors comprehensively analyze the number of visible satellites,DOP values,positioning stability,and positioning accuracy from different combinations of Bei Dou,GLONASS or Galileo.The experimental results show that the DOP values of the Bei Dou+GLONASS+Galileo three-system combination is reduced by 30% ~ 55% and 10% ~ 50% respectively compared to the single system( Bei Dou,GLONASS,Galileo) and the dual system( Bei Dou + GLONASS,Bei Dou + Galileo,GLONASS + Galileo). Visible satellites increased by 60% ~ 120% and 10% ~ 110% respectively.In addition,with a cut-off elevation angle greater than 30°,the DOP values of single-system and dual-system are large and fluctuating.The positioning reliability and epoch availability are significantly reduced,while the Bei Dou+GLONASS+Galileo combination can still get better positioning results.This has practical application value under the harsh conditions of building-intensive areas,mountains and satellite shelters.
引文
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[15]唐卫明,徐坤,金蕾,等.北斗/GPS组合伪距单点定位性能测试和分析[J].武汉大学学报(信息科学版),2015,40(4):529-533.
[2]陈浩,许长辉,高井祥,等.BDS、GPS及其组合系统伪距单点定位精度分析[J].山东科技大学学报(自然科学版),2015,34(2):72-78.
[3]魏二虎,刘学习,刘经南.北斗+GPS组合单点定位精度评价与分析[J].测绘通报,2017(5):1-5.
[4]刘珂.徕卡Viva GNSS采用北斗和GPS组合单点定位精度分析[J].测绘通报,2014(3):135-136.
[5]曾庆化,刘建业,胡倩倩,等.北斗系统及GNSS多星座组合导航性能研究[J].全球定位系统,2011,36(1):53-57.
[6]罗小敏,蔡昌盛.GPS/GALILEO组合单点定位精度分析[J].大地测量与地球动力学,2013,33(3):136-140.
[7]高猛,徐爱功,祝会忠.双导航定位系统伪距单点定位数据处理方法与精度分析[J].导航定位学报,2014,2(2):83-88.
[8]潘林,蔡昌盛,戴吾蛟,等.一种联合多历元观测信息的GPS/BDS组合单点定位方法[J].测绘通报,2015(2):5-9.
[9]李鹤峰,党亚民,秘金钟,等.BDS与GPS、GLONASS多模融合导航定位时空统一[J].大地测量与地球动力学,2013,33(4):73-78.
[10]刘庆元,包海,王虎,等.GPS、GLONASS、GALILEO三大系统间时间系统以及坐标系统的转换[J].测绘科学,2008,33(5):13-15.
[11]杨松.多模多频GNSS环境下精密单点定位技术研究[D].贵州:贵州大学,2017.
[12]贾雪,徐炜.GPS/BDS/GALILEO多系统融合伪距单点定位性能分析[J].全球定位系统,2017,42(6):16-23.
[13]王涛.GPS/GLONASS/BDS多模融合伪距单点定位模型精度分析[J].全球定位系统,2017,42(3):32-37.
[14]严超,余学祥,徐炜,等.GPS/BDS/GLONASS组合伪距单点定位性能测试与分析[J].全球定位系统,2017,42(2):25-31.
[15]唐卫明,徐坤,金蕾,等.北斗/GPS组合伪距单点定位性能测试和分析[J].武汉大学学报(信息科学版),2015,40(4):529-533.