Geometry-free single-epoch resolution of BDS-3 multi-frequency carrier ambi-guities

doi:10.11947/j.AGCS.2020.20200325

Abstract

Abstract: The BDS-3 navigation satellite system currently provides five-frequency observations, so theoretically it can perform multi-frequency carrier ambiguity resolution (MCAR). This paper systematically studies the basic theory and method of the MCAR, including three-frequency (TCAR), four-frequency (FCAR) and five-frequency (FiCAR) carrier ambiguity resolution. Firstly, from the perspective of linear combination, basic mathematical models including TCAR, FCAR and FiCAR methods are given. Secondly, the high-quality signals and the optimal linear combinations under different conditions of baseline lengths-are discussed. In addition, single-epoch ambiguity resolution using geometry-free model is analyzed. Finally, experiments were conducted using the real BDS-3 five-frequency data. The results showed that the MCAR can effectively fix the ambiguities in single epoch, and the increase of the frequency number can significantly improve the success rates of the ambiguity resolution.

Key words: BDS-3, ambiguity resolution, multi-frequency observations, geometry-free model, single epoch

CLC Number:

P228

ZHANG Zhetao, LI Bofeng, HE Xiufeng. Geometry-free single-epoch resolution of BDS-3 multi-frequency carrier ambi-guities[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(9): 1139-1148.

References

[1] LI Bofeng, ZHANG Zhetao. Several kinematic data processing methods for time-correlated observations[J]. Journal of Geodesy and Geoinformation Science, 2019, 2(4):1-9. DOI:10.11947/j.JGGS.2019.0401.
[2] ZHANG Zhetao, LI Bofeng, SHEN Yunzhong. Comparison and analysis of unmodelled errors in GPS and BeiDou signals[J]. Geodesy and Geodynamics, 2017, 8(1):41-48.
[3] 李博峰. 混合整数GNSS模型参数估计理论与方法[M]. 北京:测绘出版社, 2014. LI Bofeng. Theory and method of parameter estimation in mixed integer GNSS model[M]. Beijing:Surveying and Mapping Press, 2014.
[4] 李博峰, 沈云中, 张兴福. 纳伪概率可控的四舍五入法及其在RTK模糊度固定中的应用[J]. 测绘学报, 2012, 41(4):483-489, 495. LI Bofeng, SHEN Yunzhong, ZHANG Xingfu. Error probability controllable integer rounding method and its application to RTK ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica, 2012, 41(4):483-489, 495.
[5] 耿江辉, 常华, 郭将, 等. 面向城市复杂环境的3种多频多系统GNSS单点高精度定位方法及性能分析[J]. 测绘学报, 2020, 49(1):1-13. DOI:10.11947/j.AGCS.2020.20190106. GENG Jianghui, CHANG Hua, GUO Jiang, et al. Three multi-frequency and multi-system GNSS high-precision point positioning methods and their performance in complex urban environment[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(1):1-13. DOI:10.11947/j.AGCS.2020.20190106.
[6] FORSSELL B, MARTIN-NEIRA M, HARRIS R A. Carrier phase ambiguity resolution in GNSS-2[C]//Proceedings of ION GPS-1997. Kansas City, Missouri:Institute of Navigation, 1997:1727-1736.
[7] VOLLATH U, BIRNBACH S, LANDAU L, et al. Analysis of three-carrier ambiguity resolution technique for precise relative positioning in GNSS-2[J]. Navigation, 1999, 46(1):13-23.
[8] DE JONGE P J, TEUNISSEN P J G, JONKMAN N F, et al. The distributional dependence of the range on triple frequency GPS ambiguity resolution[C]//Proceedings of 2000 National Technical Meeting of the Institute of Navigation. Anaheim:Pacific Hotel Disneyland, 2000:605-612.
[9] HATCH R, JUNG J, ENGE P, et al. Civilian GPS:the benefits of three frequencies[J]. GPS Solutions, 2000, 3(4):1-9.
[10] TEUNISSEN P, JOOSTEN P, TIBERIUS C. A comparison of TCAR, CIR and LAMBDA GNSS ambiguity resolution[C]//Proceedings of the 15th International Technical Meeting of the Satellite Division of the Institute of Navigation. Portland:[s.n.], 2002:2799-2808.
[11] FENG Y, RIZOS C. Three carrier approaches for future global, regional and local GNSS positioning services:concepts and performance perspectives[C]//Proceedings of ION GNSS 2005. Long Beach:Institute of Navigation, 2005:2277-2278.
[12] FENG Y, LI B. A benefit of multiple carrier GNSS signals:regional scale network-based RTK with doubled inter-station distances[J]. Journal of Spatial Science, 2008, 53(2):135-147.
[13] COCARD M, BOURGON S, KAMALI O, et al. A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS[J]. Journal of Geodesy, 2008, 82(9):555-564.
[14] FENG Yanming. GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals[J]. Journal of Geodesy, 2008, 82(12):847-862.
[15] 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.
[16] ZHAO Qile, DAI Zhiqiang, HU Zhigang, et al. Three-carrier ambiguity resolution using the modified TCAR method[J]. GPS Solutions, 2015, 19(4):589-599.
[17] CHEN Dezhong, YE Shirong, XIA Jingchao, et al. A geometry-free and ionosphere-free multipath mitigation method for BDS three-frequency ambiguity resolution[J]. Journal of Geodesy, 2016, 90(8):703-714.
[18] YANG Yuanxi, GAO Weiguang, GUO Shuren, et al. Introduction to BeiDou-3 navigation satellite system[J]. Navigation, 2019, 66(1):7-18.
[19] YANG Yuanxi, MAO Yue, SUN Bijiao. Basic performance and future developments of BeiDou global navigation satellite system[J]. Satellite Navigation, 2020, 1(1):1. DOI:10.1186/s43020-019-0006-0.
[20] 张小红, 何锡扬. 北斗三频相位观测值线性组合模型及特性研究[J]. 中国科学:地球科学, 2015, 45(5):601-610. ZHANG Xiaohong, HE Xiyang. BDS triple-frequency carrier-phase linear combination models and their characteristics[J]. Science China (Earth Sciences), 2015, 45(5):601-610.
[21] 何俊, 刘万科, 张小红. 北斗短基线三频实测数据单历元模糊度固定[J]. 武汉大学学报(信息科学版), 2015, 40(3):361-365. HE Jun, LIU Wanke, ZHANG Xiaohong. Single epoch ambiguity resolution of BDS triple frequency measured data under short baseline[J]. Geomatics and Information Science of Wuhan University, 2015, 40(3):361-365.
[22] 刘炎炎, 叶世榕, 江鹏, 等. 基于北斗三频的短基线单历元模糊度固定[J]. 武汉大学学报(信息科学版), 2015, 40(2):209-213. LIU Yanyan, YE Shirong, JIANG Peng, et al. Instantaneous ambiguity resolution of short baselines using BeiDou triple frequency observations[J]. Geomatics and Information Science of Wuhan University, 2015, 40(2):209-213.
[23] 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. DOI:10.11947/j.AGCS.2016.20140525. 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. DOI:10.11947/j.AGCS.2016.20140525.
[24] 高猛, 徐爱功, 祝会忠, 等. BDS网络RTK参考站三频整周模糊度解算方法[J]. 测绘学报, 2017, 46(4):442-452. DOI:10.11947/j.AGCS.2017.20160179. GAO Meng, XU Aigong, ZHU Huizhong, et al. The algorithm of triple-frequency ambiguity resolution between BDS network RTK reference stations[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(4):442-452. DOI:10.11947/j.AGCS.2017.20160179.
[25] 中国卫星导航系统管理办公室. 北斗卫星导航系统发展报告(3.0版)[R]. 北京:中国卫星导航系统管理办公室,2018. China Satellite Navigation Office. Development of the BeiDou navigation satellite system (version 3.0)[R]. Beijing:China Satellite Navigation Office, 2018.
[26] 中国卫星导航系统管理办公室. 北斗卫星导航系统发展报告(4.0版)[R]. 北京:中国卫星导航系统管理办公室,2019. China Satellite Navigation Office. Development of the BeiDou navigation satellite system (version 4.0)[R]. Beijing:China Satellite Navigation Office, 2019.
[27] ZHANG Zhetao, LI Bofeng, HE Xiufeng, et al. Models, methods and assessment of four-frequency carrier ambiguity resolution for BeiDou-3 observations[J]. GPS Solutions, 2020, 24(4):96. DOI:10.1007/s10291-020-01011-z.
[28] JI Shengyue, CHEN Wu, ZHAO Chunmei, et al. Single epoch ambiguity resolution for Galileo with the CAR and LAMBDA methods[J]. GPS Solutions, 2007, 11(4):259-268.
[29] WANG Kan, KHODABANDEH A, TEUNISSEN P J G. Five-frequency Galileo long-baseline ambiguity resolution with multipath mitigation[J]. GPS Solutions, 2018, 22(3):75. DOI:10.1007/s10291-018-0738-6.
[30] ZHANG Zhetao, LI Bofeng, GAO Yang, et al. Real-time carrier phase multipath detection based on dual-frequency C/N0 data[J]. GPS Solutions, 2019, 23(1):7. DOI:10.1007/s10291-018-0799-6.