GNSS多系统组合PPP解算方法与成果分析
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摘要
研究GPS、GLONASS和BDS三系统组合精密单点定位(PPP),包括函数模型、对流层延迟参数和差分码偏差(DCB)参数的解算方法。利用C~(++)语言编制3系统组合PPP程序,分析MEGX网12个连续跟踪站1周观测数据,结果表明,无电离层组合模型和非组合模型的收敛速度和定位精度相当,同一测站在不同时间的收敛速度无明显差异,但非组合模型采用先验电离层信息约束可提高定位的收敛速度。多系统组合定位能改善PDOP值,提高收敛速度和定位精度;3系统组合PPP的水平坐标精度约3 cm,高程精度约5 cm,优于3个系统单独定位或2个系统组合定位的精度;当卫星遮挡较大时,多系统PPP结果较单系统更为稳定。
This paper analyzes the precise point positioning method of GPS, GLONASS and BDS three-system combination, including function model, estimation methods for tropospheric delay and differential code bias(DCB) parameters. The precise point positioning program based on three-system combination is developed using C~(++) language, and the measurements of 12 consecutive tracking stations of MEGX network are analyzed. The results show that the convergence rate and positioning accuracy of the ionospheric combination model and the non-combined model are similar and the convergence rate at the same station on different days is not significantly different. However, the non-combined model uses a priori ionospheric constraints can improve the convergence rate. Multi-system combination can reduce the PDOP value, thus improving the convergence rate and positioning accuracy. By using three-system precise point positioning, the horizontal accuracy is about 3 cm, elevation accuracy is about 5 cm. These results are better than those of three systems alone positioning or two systems combined positioning. When the cut-off elevation angle is large, the multi-system precise point positioning has higher stability than the single system.
This paper analyzes the precise point positioning method of GPS, GLONASS and BDS three-system combination, including function model, estimation methods for tropospheric delay and differential code bias(DCB) parameters. The precise point positioning program based on three-system combination is developed using C~(++) language, and the measurements of 12 consecutive tracking stations of MEGX network are analyzed. The results show that the convergence rate and positioning accuracy of the ionospheric combination model and the non-combined model are similar and the convergence rate at the same station on different days is not significantly different. However, the non-combined model uses a priori ionospheric constraints can improve the convergence rate. Multi-system combination can reduce the PDOP value, thus improving the convergence rate and positioning accuracy. By using three-system precise point positioning, the horizontal accuracy is about 3 cm, elevation accuracy is about 5 cm. These results are better than those of three systems alone positioning or two systems combined positioning. When the cut-off elevation angle is large, the multi-system precise point positioning has higher stability than the single system.
引文
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[2] Héroux P,Kouba J.GPS Precise Point Positioning Using IGS Orbit Products[J].Physics and Chemistry of the Earth,Part A:Solid Earth and Geodesy,2001,26(6):573-578
[3] Azúa B M,DeMets C,Masterlark T.Strong Interseismic Coupling,Fault Afterslip,and Viscoelastic Flow before and after the Oct.9,1995 Colima-Jalisco Earthquake:Continuous GPS Measurements from Colima,Mexico[J].Geophysical Research Letters,2002,29(8):122
[4] Kubo N,Yasuda A,Kawano I,et al.The Benefits of Three Frequencies for the High Accuracy Positioning[C].European Navigation Conference 2006,Manchester,2006
[5] Ren X D,Zhang K K,Li X X,et al.Precise Point Positioning with Multi- Constellation Satellite Systems:Beidou,Galileo,GLONASS,GPS[J].Acta Geodaetica et Cartographica Sinica,2015,44(12):1 307-1 313
[6] Cai C S,Gao Y.Precise Point Positioning Using Combined GPS and GLONASS Observations[J].Journal of Global Positioning Systems,2007,6(1):13-22
[7] Jokinen A,Feng S J,Milner C,et al.Precise Point Positioning and Integrity Monitoring with GPS and GLONASS[C].European Navigation Conference 2011,London,2011
[8] Zhang H P,Gao Z Z,Ge M R,et al.On the Convergence of Ionospheric Constrained Precise Point Positioning (IC-PPP) Based on Undifferential Uncombined Raw GNSS Observations[J].Sensors,2013,13(11):15 708-15 725
[9] Tu R,Ge M R,Zhang H P,et al.The Realization and Convergence Analysis of Combined PPP Based on Raw Observation[J].Advances in Space Research,2013,52(1):211-221
[10] Ge Y L,Zhou F,Sun B Q,et al.The Impact of Satellite Time Group Delay and Inter-Frequency Differential Code Bias Corrections on Multi-GNSS Combined Positioning[J].Sensors,2017,17(3):602
[11] Li X X,Ge M R,Dai X L,et al.Accuracy and Reliability of Multi-GNSS Real-Time Precise Positioning:GPS,GLONASS,Beidou,and Galileo[J].Journal of Geodesy,2015,89(6):607-635
[12] Gao Z Z,Ge M R,Shen W B,et al.Ionospheric and Receiver DCB-Constrained Multi-GNSS Single-Frequency PPP Integrated with MEMS Inertial Measurements[J].Journal of Geodesy,2017,91 (8) :1 351-1 366
[13] Schaer S,Gurtner W,Feltens J.IONEX:The Ionosphere Map Exchange Format Version 1[C].IGS AC Workshop,Darmstadt,1998
[14] Gao Z Z,Zhang H P,Ge M R,et al.Tightly Coupled Integration of Ionosphere-Constrained Precise Point Positioning and Inertial Navigation Systems[J].Sensors,2015,15(3):5 783-5 802
[15] Li P,Zhang X.Integrating GPS and GLONASS to Accelerate Convergence and Initialization Times of Precise Point Positioning[J].GPS Solutions,2014,18(3):461-471