论文

BeiDou B2/Galileo E5b短基线紧组合相对定位模型及性能评估

  • 张小红 ,
  • 吴明魁 ,
  • 刘万科
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  • 1. 武汉大学测绘学院, 湖北 武汉 430079;
    2. 地球空间信息技术协同创新中心, 湖北 武汉 430079;
    3. 武汉大学测绘学院导航定位技术研究中心, 湖北 武汉 430079
张小红(1975-),男,博士,教授,研究方向为卫星导航与精密定位技术。E-mail:xhzhang@sgg.whu.edu.cn

收稿日期: 2016-11-25

  修回日期: 2016-12-20

  网络出版日期: 2017-05-20

基金资助

国家重点研发计划(2016YFB0501803);国家自然科学基金(91638203);湖北省自然科学杰出青年基金(2015CFA039)

Model and Performance Analysis of Tightly Combined BeiDou B2 and Galileo E5b Relative Positioning for Short Baseline

  • ZHANG Xiaohong ,
  • WU Mingkui ,
  • LIU Wanke
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  • 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
    2. Collaborative Innovation Centre for Geospatial Technology, Wuhan 430079, China;
    3. Research Center of Positioning and Navigation Technology, School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China

Received date: 2016-11-25

  Revised date: 2016-12-20

  Online published: 2017-05-20

Supported by

The National Key Research and Development Program of China (No. 2016YFB0501803), The National Nature Science Foundation of China (No. 91638203), and The Natural Science Foundation for Distinguished Young Scholar of Hubei Province (No. 2015CFA039)

摘要

随着GPS和GLONASS系统的现代化以及Galileo和BeiDou卫星导航系统的建设,GNSS正朝多频多系统的方向发展。本文对BeiDou B2/Galileo E5b短基线紧组合相对定位的模型与算法进行了研究,详细推导了BeiDou B2/Galileo E5b短基线紧组合相对定位的模型与算法,并对其定位性能进行了分析。重点分析了BeiDou B2与Galileo E5b频点的接收机间差分系统间偏差的长期稳定性,结果表明:基线两端的接收机类型(包括固件版本)相同时,差分系统间偏差接近于0;基线两端的接收机类型不同时,差分系统间偏差较大,但具有长期稳定性,因此能够事先标定并作为改正数用于后续的定位中。最后基于BeiDou B2/Galileo E5b单频单历元相对定位试验对系统间紧组合模型的定位效果进行了比较验证。结果表明,相对于传统的松组合模型,使用改正系统间偏差的紧组合模型能够显著提高模糊度固定的成功率,尤其是在遮挡比较严重、单系统可观测到的卫星数较少的情况下,模糊度固定成功率可以提高10%~25%。

本文引用格式

张小红 , 吴明魁 , 刘万科 . BeiDou B2/Galileo E5b短基线紧组合相对定位模型及性能评估[J]. 测绘学报, 2016 , 45(S2) : 1 -11 . DOI: 10.11947/j.AGCS.2016.F020

Abstract

With the modernization of GPS and GLONASS, and construction of Galileo and BeiDou, multi-frequency multi-GNSS is a trend. For the first time this paper investigates the model, algorithm, and performance of tightly combined relative positioning using BeiDou B2 and Galileo E5b observations for short baselines. The model and algorithm was first deduced in detail. Then the long stability of between-receivers differential inter-system bias (DISB) between BeiDou B2 and Galileo E5b observations was analyzed emphatically. It is shown that for baselines with identical receivers (the same firmware version), the DISB is close to zero; for baselines with different receiver types, the DISB is significant but with long stability, which allows for a-prior calibration of these DISBs. Finally, the performance of tightly combined positioning was evaluated using single frequency BeiDou B2 and Galileo E5b observations in an instantaneous approach. It is demonstrated that the DISB corrected tightly combined model can significantly improve the ambiguity resolution performance with respect to the loosely combined model. The improvement can be especially significant (10%~25%) under environments where the navigation signals are serious blocked or the observed satellite for each system is limited.

参考文献

[1] 任晓东, 张柯柯, 李星星, 等. BeiDou、Galileo、GLONASS、GPS多系统融合精密单点[J]. 测绘学报, 2015, 44(12):1307-1313. DOI:10.11947/j.AGCS.2015.20140568. REN Xiaodong, ZHANG Keke, LI Xingxing, et al. Precise Point Positioning with Multi-constellation Satellite Systems:BeiDou、Galileo、GLONASS、GPS[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(12):1307-1313. DOI:10.11947/j.AGCS.2015.20140568.
[2] 姚宜斌, 胡明贤, 许超钤. 基于DREAMNET的GPS/BDS/GLONASS多系统网络RTK定位性能分析[J]. 测绘学报, 2016, 45(9):1009-1018. DOI:10.11947/j.AGCS.2016.20160133. YAO Yibin, HU Mingxian, XU Chaoqian. Positioning Accuracy Analysis of GPS/BDS/GLONASS Network RTK Based on DREAMNET[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(9):1009-1018. DOI:10.11947/j.AGCS.2016.20160133.
[3] 杨元喜, 陆明泉, 韩春好. GNSS互操作若干问题[J]. 测绘学报, 2016, 45(3):253-259. DOI:10.11947/j.AGCS.2016.20150653. YANG Yuanxi, LU Mingquan, HAN Chunhao. Some Notes on Interoperability of GNSS[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(3):253-259. DOI:10.11947/j.AGCS.2016.20150653.
[4] JULIEN O, ALVES P, CANNON M E, et al. A Tightly Coupled GPS/GALILEO Combination for Improved Ambiguity Resolution[C]//Proceedings of the European Navigation Conference (ENC-GNSS'03). Graz:[s.n.], 2003:1-14.
[5] JULIEN O, CANNON M E, ALVES P, et al. Triple Frequency Ambiguity Resolution Using GPS/Galileo[J]. European Journal of Navigation, 2(2):51-57.
[6] HEGARTY C, POWERS E, FONVILLE B. Accounting for Timing Biases between GPS, Modernized GPS, and Galileo Signals[C]//Proceedings of the 36th Annual Precise Time and Time Systems and Applications Meeting. Washington DC:Naval Observatory, 2005:307-317.
[7] MONTENBRUCK O, HAUSCHILD A, HESSELS U. Characterization of GPS/GIOVE Sensor Stations in the CONGO Network[J]. GPS Solutions, 2011, 15(3):193-205.
[8] ODIJK D, TEUNISSEN P J G. Characterization of Between-receiver GPS-Galileo Inter-system Biases and Their Effect on Mixed Ambiguity Resolution[J]. GPS Solutions, 2013, 17(4):521-533.
[9] ODIJK D, TEUNISSEN P J G, HUISMAN L. First Results of Mixed GPS+GIOVE Single-frequency RTK in Australia[J]. Journal of Spatial Science, 2012, 57(1):3-18.
[10] PAZIEWSKI J, WIELGOSZ P. Accounting for Galileo-GPS Inter-system Biases in Precise Satellite Positioning[J]. Journal of Geodesy, 2015, 89(1):81-93.
[11] ODIJK D, TEUNISSEN P J G. Estimation of Differential Inter-system Biases between the Overlapping Frequencies of GPS, Galileo, BeiDou and QZSS[C]//Proceedings of the 4th International Colloquium Scientific and Fundamental Aspects of the Galileo Programme. Prague:Czech Republic, 2013:4-6.
[12] YUAN Yunbin, ZHANG Baocheng. Retrieval of Inter-system Biases (ISBs) Using a Network of Multi-GNSS Receivers[J]. Journal of Global Positioning Systems, 2014, 13(1):22-29.
[13] ODIJK D, NADARAJAH N, ZAMINPARDAZ S, et al. GPS, Galileo, QZSS and IRNSS Differential ISBs:Estimation and Application[J]. GPS Solutions, 2016. DOI:10.1007/s10291-016-0536-y.
[14] ODOLINSKI R, TEUNISSEN P J G, ODIJK D. Combined BDS, Galileo, QZSS and GPS Single-frequency RTK[J]. GPS Solutions, 2015, 19(1):151-163.
[15] ODOLINSKI R, TEUNISSEN P J G, ODIJK D. Combined GPS+BDS+Galileo+QZSS for Long Baseline RTK Positioning[C]//Proceedings of the 27th International Technical Meeting of the ION Satellite Division, ION GNSS+2014. Tampa, Florida:Institute of Navigation, 2014.
[16] XIAO Wei, LIU Wenxiang, SUN Guangfu. Modernization Milestone:BeiDou M2-S Initial Signal Analysis[J]. GPS Solutions, 2016, 20(1):125-133.
[17] WANG J, KNIGHT N L, LU X. Impact of the GNSS Time Offsets on Positioning Reliability[J]. Journal of Global Positioning Systems, 2011, 10(2):165-172.
[18] DENG Chenlong, TANG Weiming, LIU Jingnan, et al. Reliable Single-epoch Ambiguity Resolution for Short Baselines Using Combined GPS/BeiDou System[J]. GPS Solutions, 2014, 18(3):375-386.
[19] GENDT G, ALTAMIMI Z, DACH R, et al. GGSP:Realisation and Maintenance of the Galileo Terrestrial Reference Frame[J]. Advances in Space Research, 2011, 47(2):174-185.
[20] NADARAJAH N, TEUNISSEN P J G, SLEEWAEGEN J M, et al. The Mixed-receiver BeiDou Inter-satellite-Type Bias and Its Impact on RTK Positioning[J]. GPS Solutions, 2015, 19(3):357-368.
[21] NADARAJAH N, TEUNISSEN P J G, RAZIQ N. BeiDou Inter-satellite-type Bias Evaluation and Calibration for Mixed Receiver Attitude Determination[J]. Sensors, 2013, 13(7):9435-9463.
[22] EUELER H J, Goad C C. On Optimal Filtering of GPS Dual Frequency Observations without Using Orbit Information[J]. Bulletin Géodésique, 1991, 65(2):130-143.
[23] ZHANG Baocheng, TEUNISSEN P J G. Zero-baseline Analysis of GPS/BeiDou/Galileo Between-receiver Differential Code Biases (BR-DCBs):Time-wise Retrieval and Preliminary Characterization[J]. Navigation, 2016, 63(2):181-191.
[24] HELLEMANS A. A Simple Plumbing Problem Sent Galileo Satellites into Wrong Orbits[EB/OL]. (2014-10-13). http://spectrum.ieee.org/tech-talk/aerospace/satellites/a-simple-plumbing-problem-sent-galileo-satellites-into-wrong-orbits.
[25] ODOLINSKI R, ODIJK D, TEUNISSEN P J G. Combined GPS and BeiDou Instantaneous RTK Positioning[J]. Navigation, 2014, 61(2):135-148.
[26] VERHAGEN S, TEUNISSEN P J G. The Ratio Test for Future GNSS Ambiguity Resolution[J]. GPS Solutions, 2013, 17(4):535-548.
[27] TEUNISSEN P J G. Success Probability of Integer GPS Ambiguity Rounding and Bootstrapping[J]. Journal of Geodesy, 1998, 72(10):606-612.
[28] TEUNISSEN P J G, VERHAGEN S. The GNSS Ambiguity Ratio-test Revisited:A Better Way of Using It[J]. Survey Review, 2009, 41(312):138-151.
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