The Algorithm of Triple-frequency Ambiguity Resolution between BDS Network RTK Reference Stations

doi:10.11947/j.AGCS.2017.20160179

Abstract

Abstract: BeiDou navigation satellite system is currently the only system which the whole constellation offers triple-frequency observation data, triple-frequency observation is conducive to carrier phase ambiguity fixing quickly and accurately. The algorithm of triple-frequency integer ambiguity resolution between BDS network RTK reference stations is proposed. The observation of B2 frequency and B3 frequency and the strict criterion of ambiguity fixing are used to determine extra-wide-lane integer ambiguity. The linear relationship between fixed extra-wide-lane integer ambiguity and other wide-lane integer ambiguity is selected as constraint conditions, then the wide-lane integer ambiguity, relative zenith tropospheric delay error and ionospheric delay error are estimated and the wide-lane integer ambiguity can be fixed by search mode. There is a kind of integer linear relationship between fixed wide-lane integer ambiguity and triple-frequency carrier phase integer ambiguity, this linear relationship is added to the observation model of carrier phase ambiguity parameter estimation and the integer ambiguity can be fixed. This algorithm is tested by the measured triple-frequency data of BDS CORS network. The results indicate that triple-frequency carrier phase ambiguity can be fixed accurately and effectively with the method.

Key words: BeiDou navigation satellite system, network RTK, triple-frequency, integer ambiguity, relative zenith tropospheric delay error, ionospheric delay error

CLC Number:

P288

GAO Meng, XU Aigong, ZHU Huizhong, GE Maorong, YANG Qiushi. The Algorithm of Triple-frequency Ambiguity Resolution between BDS Network RTK Reference Stations[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(4): 442-452.

References

[1] 杨元喜, 李金龙, 徐君毅, 等. 中国北斗卫星导航系统对全球PNT用户的贡献[J]. 科学通报, 2011, 56(21): 1734-1740. YANG Yuanxi, LI Jinlong, XU Junyi, et al. Contribution of the Compass Satellite Navigation System to Global PNT Users[J]. Chinese Science Bulletin, 2011, 56(26): 2813-2819.
[2] 施闯, 赵齐乐, 李敏, 等. 北斗卫星导航系统的精密定轨与定位研究[J]. 中国科学: 地球科学, 2012, 42(6): 854-861. SHI Chuang, ZHAO Qile, LI Min, et al. Precise Orbit Determination of BeiDou Navigation Satellites with Precise Positioning[J]. Science China Earth Sciences, 2012, 55(7): 1079-1086.
[3] 杨元喜. 北斗卫星导航系统的进展、贡献与挑战[J]. 测绘学报, 2010, 39(1): 1-6. YANG Yuanxi. Progress, Contribution and Challenges of Compass/BeiDou Satellite Navigation System[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(1): 1-6.
[4] MONTENBRUCK O, HAUSCHILD A, STEIGENBERGER P, et al. Initial Assessment of the Compass/BeiDou-2 Regional Navigation Satellite System[J]. GPS Solutions, 2013, 17(2): 211-222.
[5] 高星伟, 陈锐志, 赵春梅. 网络RTK算法研究与实验[J]. 武汉大学学报(信息科学版), 2009, 34(11): 1350-1353. GAO Xingwei, CHEN Ruizhi, ZHAO Chunmei. A Network RTK Algorithm and Its Test[J]. Geomatics and Information Science of Wuhan University, 2009, 34(11): 1350-1353.
[6] 周乐韬, 黄丁发, 袁林果, 等. 网络RTK参考站间模糊度动态解算的卡尔曼滤波算法研究[J]. 测绘学报, 2007, 36(1): 37-42. ZHOU Letao, HUANG Dingfa, YUAN Linguo, et al. A Kalman Filtering Algorithm for Online Integer Ambiguity Resolution in Reference Station Network[J]. Acta Geodaetica et Cartographica Sinica, 2007, 36(1): 37-42.
[7] 高星伟, 刘经南, 葛茂荣. 网络RTK基准站间基线单历元模糊度搜索方法[J]. 测绘学报, 2002, 31(4): 305-309. GAO Xingwei, LIU Jingnan, GE Maorong. An Ambiguity Searching Method for Network RTK Baselines between Base Stations at Single Epoch[J]. Acta Geodaetica et Cartographica Sinica, 2002, 31(4): 305-309.
[8] 祝会忠, 刘经南, 唐卫明, 等. 长距离网络RTK基准站间整周模糊度单历元确定方法[J]. 测绘学报, 2012, 41(3): 359-365. ZHU Huizhong, LIU Jingnan, TANG Weiming, et al. The Algorithm of Single-epoch Integer Ambiguity Resolution between Long-range Network RTK Base Stations[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(3): 359-365.
[9] 唐卫明, 刘经南, 施闯, 等. 三步法确定网络RTK基准站双差模糊度[J]. 武汉大学学报(信息科学报), 2007, 32(4): 305-308. TANG Weiming, LIU Jingnan, SHI Chuang, et al. Three Steps Method to Determine Double Difference Ambiguities Resolution of Network RTK Reference Station[J]. Geomatics and Information Science of Wuhan University, 2007, 32(4): 305-308.
[10] 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. 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.
[11] 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.
[12] FENG Yanming. GNSS Three Carrier Ambiguity Resolution Using Ionosphere-reduced Virtual Signals[J]. Journal of Geodesy, 2008, 82(12): 847-862.
[13] 高旺, 高成发, 潘树国, 等. 北斗三频宽巷组合网络RTK单历元定位方法[J]. 测绘学报, 2015, 44(6): 641-648. GAO Wang, GAO Chengfa, PAN Shuguo, et al. Single-epoch Positioning Method in Network RTK with BDS Triple-frequency Widelane Combinations[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(6): 641-648.
[14] 祝会忠, 徐爱功, 高猛, 等. BDS网络RTK中距离参考站整周模糊度单历元解算方法[J]. 测绘学报, 2016, 45(1): 50-57. ZHU Huizhong, XU Aigong, GAO Meng, et al. The Algorithm of Single-epoch Integer Ambiguity Resolution between Middle-range BDS Network RTK Reference Stations[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(1): 50-57.
[15] 魏子卿, 葛茂荣. GPS相对定位的数学模型[M]. 北京: 测绘出版社, 1998. WEI Ziqing, GE Maorong. Mathematical Model of GPS Relative Positioning[M]. Beijing: Surveying and Mapping Press, 1998.
[16] TANG Weiming, DENG Chenlong, SHI Chuang, et al. Triple-frequency Carrier Ambiguity Resolution for BeiDou Navigation Satellite System[J]. GPS Solutions, 2014, 18(3): 335-344.
[17] CHU Fengyu, YANG Ming, WU J. A New Approach to Modernized GPS Phase-only Ambiguity Resolution over Long Baselines[J]. Journal of Geodesy, 2016, 90(3): 241-254.
[18] 黄令勇, 翟国君, 欧阳永忠, 等. 削弱电离层影响的三频TurboEdit周跳处理方法[J]. 测绘学报, 2015, 44(8): 840-847. DOI: 10.11947/j.AGCS.2015.20140380. HUANG Lingyong, ZHAI Guojun, OUYANG Yongzhong, et al. Triple-frequency Turboedit Cycle-slip Processing Method Weakening Ionospheric Activity[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(8): 840-847. DOI: 10.11947/j.AGCS.2015.20140380.
[19] GE M, GENDT G, ROTHACHER M, et al. Resolution of GPS Carrier-phase Ambiguities in Precise Point Positioning (PPP) with Daily Observations[J]. Journal of Geodesy, 2008, 82(7): 389-399.
[20] DONG Danan, BOCK Y. Global of GPS Positioning System Network Analysis with Phase Ambiguity Resolution Applied to Crustal Deformation Studies in California[J]. Journal of Geophysical Research: Solid Earth, 1989, 94(B4): 3949-3966.
[21] 潘宗鹏, 柴洪洲, 刘军, 等. 基于部分整周模糊度固定的非差GPS精密单点定位[J]. 测绘学报, 2015, 44(11): 1210-1218. PAN Zongpeng, CHAI Hongzhou, LIU Jun, et al. GPS Partial Ambiguity Resolution Method for Zero-difference Precise Point Positioning[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(11): 1210-1218.
[22] 葛茂荣, 刘经南. GPS定位中对流层折射估计研究[J]. 测绘学报, 1996, 25(4): 285-291. GE Maorong, LIU Jingnan. The Estimation Methods for Tropospheric Delays in Global Positioning System[J]. Acta Geodaetica et Cartographica Sinica, 1996, 25(4): 285-291.