北斗三号多频相位模糊度无几何单历元固定方法

doi:10.11947/j.AGCS.2020.20200325

测绘学报 ›› 2020, Vol. 49 ›› Issue (9): 1139-1148.doi: 10.11947/j.AGCS.2020.20200325

北斗三号多频相位模糊度无几何单历元固定方法

章浙涛^1,2, 李博峰³, 何秀凤¹

1. 河海大学地球科学与工程学院, 江苏南京 211100;
2. 轨道交通工程信息化国家重点实验室(中铁一院), 陕西西安 710043;
3. 同济大学测绘与地理信息学院, 上海 200092

收稿日期:2020-07-21 修回日期:2020-08-25 发布日期:2020-09-19
作者简介:章浙涛(1988-),男,博士,讲师,研究方向为GNSS数据处理理论及应用新技术。E-mail:ztzhang@hhu.edu.cn
基金资助:
轨道交通工程信息化国家重点实验室（中铁一院）开放课题（SKLK20-07）；中国博士后科学基金（2020M671324）；中央高校基本科研业务费专项资金（2019B03714）；江苏省博士后科研资助计划项目（2020Z412）；大地测量与地球动力学国家重点实验室开放基金（SKLGED2020-3-8-E）；国家自然科学基金（41830110；41874030）

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

ZHANG Zhetao^1,2, LI Bofeng³, HE Xiufeng¹

1. School of Earth Sciences and Engineering, Hohai University, Nanjing 211100, China;
2. State Key Laboratory of Rail Transit Engineering Informatization(FSDI), Xi'an 710043, China;
3. College of Surveying and GeoInformatics, Tongji University, Shanghai 200092, China

Received:2020-07-21 Revised:2020-08-25 Published:2020-09-19
Supported by:
The State Key Laboratory of Rail Transit Engineering Informatization (FSDI) Grant (No. SKLK20-07);China Postdoctoral Science Foundation (No. 2020M671324);The Fundamental Research Funds for the Central Universities (No. 2019B03714);The Jiangsu Planned Projects for Postdoctoral Research Funds (No. 2020Z412);The State Key Laboratory of Geodesy and Earth’s Dynamics Grant (No. SKLGED2020-3-8-E);The National Natural Science Foundation of China (Nos. 41830110;41874030)

摘要/Abstract

摘要： 北斗三号全球卫星导航系统目前已提供5个频率的观测数据，因此理论上可进行多频相位模糊度解算（MCAR）。本文系统研究了MCAR的基本理论和方法，包括三频（TCAR）、四频（FCAR）和五频（FiCAR）相位模糊度固定。首先，从线性组合角度出发，给出了TCAR、FCAR和FiCAR方法在内的基本数学模型。其次，探讨了高质量信号及在不同基线长度条件下的最优线性组合。此外，分析了利用无几何模型单历元模糊度固定的常用方法。最后，利用实测北斗三号五频观测数据进行了试验。结果表明，MCAR可有效进行单历元模糊度固定，同时频率数增加可显著提高模糊度固定成功率。

关键词: 北斗三号, 模糊度固定, 多频观测值, 无几何模型, 单历元

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

中图分类号:

P228

章浙涛, 李博峰, 何秀凤. 北斗三号多频相位模糊度无几何单历元固定方法[J]. 测绘学报, 2020, 49(9): 1139-1148.

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.

参考文献

[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.

北斗三号多频相位模糊度无几何单历元固定方法

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

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	李博峰, 秦园阳, 陈广鄂. 基于无几何电离层滤波模型的北斗三号系统相位周跳与中断修复方法[J]. 测绘学报, 2022, 51(4): 501-510.
[2]	邓志国, 王君刚, 葛茂荣. GBM快速轨道产品及非差模糊度固定对其精度的改进[J]. 测绘学报, 2022, 51(4): 544-555.
[3]	蔡洪亮, 孟轶男, 耿长江, 高为广, 张天桥, 李罡, 邵搏, 辛洁, 卢红洋, 毛悦, 袁海波, 刘成, 胡小工, 楼益栋. 北斗三号全球导航卫星系统服务性能评估:定位导航授时、星基增强、精密单点定位、短报文通信与国际搜救[J]. 测绘学报, 2021, 50(4): 427-435.
[4]	袁运斌, 李敏, 霍星亮, 李子申, 王宁波. 北斗三号全球导航卫星系统全球广播电离层延迟修正模型(BDGIM)应用性能评估[J]. 测绘学报, 2021, 50(4): 436-447.
[5]	邓远帆, 郭斐, 张小红, 刘万科. 北斗三号卫星多频多通道差分码偏差估计与分析[J]. 测绘学报, 2021, 50(4): 448-456.
[6]	毛飞宇, 龚晓鹏, 辜声峰, 王琛琛, 楼益栋. 北斗三号卫星导航信号接收机端伪距偏差建模与验证[J]. 测绘学报, 2021, 50(4): 457-465.
[7]	邵凯, 易彬, 张厚喆, 谷德峰. 单星模糊度固定的整数相位钟法及在低轨卫星定轨中的应用[J]. 测绘学报, 2021, 50(4): 487-495.
[8]	曾添, 隋立芬, 阮仁桂, 贾小林, 肖国锐. 三频非组合模型的GPS/BDS/Galileo精密定轨[J]. 测绘学报, 2021, 50(2): 169-180.
[9]	杨宇飞, 杨元喜, 陈金平, 唐成盼, 李冲, 郭海荣, 杨建华, 刘金获, 杨斌. 北斗三号星座拟稳钟差测定及其预报[J]. 测绘学报, 2021, 50(12): 1728-1737.
[10]	张小红, 胡家欢, 任晓东. PPP/PPP-RTK新进展与北斗/GNSS PPP定位性能比较[J]. 测绘学报, 2020, 49(9): 1084-1100.
[11]	张勤, 燕兴元, 黄观文, 解世超, 曹钰. 北斗卫星天线相位中心改正模型精化及对精密定轨和定位影响分析[J]. 测绘学报, 2020, 49(9): 1101-1111.
[12]	刘伟平, 郝金明, 吕志伟, 谢建涛, 刘婧, 焦博. 北斗三号空间信号测距误差评估与对比分析[J]. 测绘学报, 2020, 49(9): 1213-1221.
[13]	杜祯强, 柴洪洲, 向民志, 尹潇, 刘春鹤. 3种PPP模型的统一模糊度固定方法[J]. 测绘学报, 2020, 49(7): 824-832.
[14]	王虎, 党亚民, 侯阳飞, 秘金钟, 王解先, 白贵霞, 成英燕, 张守建. PPP网解UPD模糊度固定的无基站差分大型CORS站整网快速精密解算[J]. 测绘学报, 2020, 49(3): 278-291.
[15]	祝会忠, 雷啸挺, 李军, 高猛, 徐爱功. BDS参考站三频整周模糊度单历元确定方法[J]. 测绘学报, 2020, 49(11): 1388-1398.