Single-epoch Positioning Method in Network RTK with BDS Triple-frequency Widelane Combinations

doi:10.11947/j.AGCS.2015.20140308

Abstract

Abstract: Using the advantage that triple-frequency extra-widelane or widelane ambiguities have much longer wavelength and thus are easy to be fixed, a new network RTK (real-time kinematic) single-epoch positioning method based on BDS widelane combinations is proposed. The data processing center uses reference stations to calculate and broadcast the real-time virtual observations including double difference (DD) tropospheric and ionospheric delay correction. Then using single-satellite-pair and single-epoch mode, two extra-widelane or widelane ambiguities are resolved reliably by carrier-pseudo combination and TCAR (three-carrier ambiguity resolution) method at the rover station. Finally, the ambiguity-fixed widelane observations with the minimum observation noise and the broadcast atmospheric correction are used together to calculate the real-time kinematic positioning results. Experimental results show that the correct rates of single-epoch widelane ambiguity resolution at rover stations are larger than 99.9%. The statistical positioning error in plane is 3-4 cm, and the error in up direction is about 5 cm.

Key words: triple frequency of BDS, widelane combinations, network RTK, single-epoch positioning

CLC Number:

P228

GAO Wang, GAO Chengfa, PAN Shuguo, WANG Denghui, WANG Shengli. Single-epoch Positioning Method in Network RTK with BDS Triple-frequency Widelane Combinations[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(6): 641-648.

References

[1] LIU Jingnan, LIU Hui. Continuous Operational Reference System: Infrastructure of Urban Spatial Data[J]. Geomatics and Information Science of Wuhan University, 2003, 28(3): 259-264. (刘经南, 刘晖. 连续运行卫星定位服务系统: 城市空间数据的基础设施[J]. 武汉大学学报: 信息科学版, 2003, 28(3): 259-264.)
[2] LI Bofeng, SHEN Yunzhong, FENG Yanming, et al. GNSS Ambiguity Resolution with Controllable Failure Rate for Long Baseline Network RTK[J]. Journal of Geodesy, 2014, 88(2): 99-112.
[3] LANDAU L, VOLLATH U, CHEN X M. Virtual Reference Station System[J]. Journal of Global Positioning Systems, 2002, 1(2): 137-143.
[4] HUANG Dingfa, ZHOU Letao, LI Chenggang, et al. Strategy and Experimental Results of Augmentation Reference Station Network RTK Positioning[J]. Geomatics and Information Science of Wuhan University, 2009, 34(11): 1344-1349. (黄丁发, 周乐韬, 李成钢, 等. 增强参考站网络 RTK 算法模型及其实验研究[J]. 武汉大学学报: 信息科学版, 2009, 34(11): 1344-1349.)
[5] YANG Yang, PAN Shuguo, WANG Denghui, et al. Software of BeiDou Ground Based Augmentation System (Earth Net 2.0) and Its Application[J]. Bulletin of Surveying and Mapping, 2014(10): 46-49. (杨徉, 潘树国, 汪登辉, 等. 北斗地基增强系统软件(Earth Net 2.0)及其应用[J]. 测绘通报, 2014(10): 46-49.)
[6] HU G R, KHOO H S, GOH P C, et al. Development and Assessment of GPS Virtual Reference Stations for RTK Positioning[J]. Journal of Geodesy, 2003, 77(5-6): 292-302.
[7] WANG C, FENG Y M, HIGGINS M, et al. Assessment of Commercial Network RTK User Positioning Performance over Long Inter-station Distances[J]. Journal of Global Positioning Systems, 2010, 9(1): 78-89.
[8] LI J L, YANG Y X, XU J Y, et al. GNSS Multi-carrier Fast Partial Ambiguity Resolution Strategy Tested with Real BDS/GPS Dual and Triple-frequency Observations[J]. GPS Solutions, 2015, 19(1): 5-13.
[9] LI Bofeng, SHEN Yunzhong, FENG Yanming. Long-range Real-time Precise Navigation with Three Frequency GNSS[J]. Geomatics and Information Science of Wuhan University, 2009, 34(7): 782-786. (李博峰, 沈云中, 冯延明. 利用三频GNSS进行长距离实时精密导航[J]. 武汉大学学报:信息科学版, 2009, 34(7): 782-786.)
[10] MELBOURNE W G. The Case for Ranging in GPS-based Geodetic Systems[C]//Proceedings of the 1st International Symposium on Precise Positioning with the Global Positioning System. Rockville, Maryland: [s.n.], 1985: 373-386.
[11] WUBBENA G. Software Developments for Geodetic Positioning with GPS Using TI-4100 Code and Carrier Measurements[C]//GOAD C C. Proceedings of the First International Symposium on Precise Positioning with the Global Positioning System. Rockville, Maryland: [s.n.], 1985: 403-412.
[12] DAI L W. Dual-frequency GPS/GLONASS Real-time Ambiguity Resolution for Medium-range Kinematic Positioning[C]//Proceedings of the 13th International Technical Meeting of the Satellite Division of the US Institute of Navigation. Salt Lake City, Utah: [s.n.], 2000: 19-22.
[13] FORSSELL B, MARTíN-NEIRA M, HARRISZ R A. Carrier Phase Ambiguity Resolution in GNSS-2[C]//Proceedings of the 10th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 1997). [S.l.]: ION,1997: 1727-1736.
[14] JUNG J, ENGE P, PERVAN B. Optimization of Cascade Integer Resolution with Three Civil GPS Frequencies[C]//Proceedings of the ION GPS 2000. Salt Lake City: ION, 2000: 2191-2200.
[15] FENG Y M. GNSS Three Carrier Ambiguity Resolution Using Ionosphere-reduced Virtual Signals[J]. Journal of Geodesy, 2008, 82(12): 847-862.
[16] LI Bofeng, SHEN Yunzhong, ZHOU Zebo. A New Method for Medium and Long Range Three Frequency GNSS Rapid Ambiguity Resolution[J]. Acta Geodaetica et Cartographica Sinica, 2009, 38(4): 296-301. (李博峰, 沈云中, 周泽波. 中长基线三频 GNSS 模糊度的快速算法[J]. 测绘学报, 2009, 38(4): 296-301.)
[17] LI Jinlong, YANG Yuanxi, HE Haibo, et al. Optimal Carrier-phase Combination for Triple-frequency GNSS Derived from an Analytical Method[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(6): 797-803. (李金龙, 杨元喜, 何海波, 等. 函数极值法求解三频GNSS最优载波相位组合观测量[J]. 测绘学报, 2012, 41(6): 797-803.)
[18] LI Jinlong. Researches on the Algorithms of GNSS Triple Frequency Precise Positioning[D]. Zhengzhou: The PLA Information Engineering University, 2011. (李金龙. GNSS 三频精密定位数据处理方法研究[D]. 郑州: 解放军信息工程大学, 2011.)
[19] TANG W M, DENG C L, SHI C, et al. Triple-frequency Carrier Ambiguity Resolution for Beidou Navigation Satellite System[J]. GPS Solutions, 2014, 18(3): 335-344.
[20] LI Bofeng, FENG Yanming, SHEN Yunzhong. Three Carrier Ambiguity Resolution: Distance-independent Performance Demonstrated Using Semi-generated Triple Frequency GPS Signals[J]. GPS Solutions, 2010, 14(2): 177-184.
[21] WANG K, ROTHACHER M. Ambiguity Resolution for Triple-frequency Geometry-free and Ionosphere-free Combination Tested with Real Data[J]. Journal of Geodesy, 2013, 87(6): 539-553.
[22] TEUNISSEN P J G. Influence of Ambiguity Precision on the Success Rate of GNSS Integer Ambiguity Bootstrapping[J]. Journal of Geodesy, 2007, 81(5): 351-358.
[23] GAO Chengfa, ZHAO Yi, WAN Dejun. The Weight Determination of the Double Difference Observation in GPS Carrier Phase Positioning[J]. Science of Surveying and Mapping, 2005, 30(3): 28-32. (高成发, 赵毅, 万德钧. GPS 载波定位中双差观测值权的合理确定[J]. 测绘科学, 2005, 30(3): 28-32.)