模糊度线性约束的消电离层多频模糊度解算

doi:10.11947/j.AGCS.2018.20170296

测绘学报 ›› 2018, Vol. 47 ›› Issue (7): 930-939.doi: 10.11947/j.AGCS.2018.20170296

模糊度线性约束的消电离层多频模糊度解算

贾春¹, 赵琳¹, 李亮^1,2, 程建华¹, 李慧¹

1. 哈尔滨工程大学自动化学院, 黑龙江哈尔滨 150001;
2. 中国科学院光电研究院, 北京 100094

收稿日期:2017-06-14 修回日期:2018-03-23 出版日期:2018-07-20 发布日期:2018-07-25
通讯作者: 李亮 E-mail:liliang@hrbeu.edu.cn
作者简介:贾春(1991-),男,博士生,研究方向为卫星导航精密定位理论。E-mail:jiachun@hrbeu.edu.cn
基金资助:
国家自然科学基金（61773132；61633008；61374007；61304235）；中央高校基本科研业务费专项资金（HEUCFP201768）；黑龙江省博士后科学研究基金（LBH-Q15033）

Ionosphere-free Multi-carrier Ambiguity Resolution Method Based on Ambiguity Linear Constraints

JIA Chun¹, ZHAO Lin¹, LI Liang^1,2, CHENG Jianhua¹, LI Hui¹

1. College of Automation, Harbin Engineering University, Harbin 150001, China;
2. Academy of Opto-electronics, Academy of Sciences, Beijing 100094, China

Received:2017-06-14 Revised:2018-03-23 Online:2018-07-20 Published:2018-07-25
Supported by:
The National Natural Science Foundation of China(Nos. 61773132;61633008;61374007;61304235);The Fundamental Research Funds for the Central Universities(No. HEUCFP201768);The Post-doctoral Scientific Research Foundation,Heilongjiang Province(No. LBH-Q15033)

摘要/Abstract

摘要： 针对传统多频模糊度解算方法受到电离层延迟影响造成窄巷模糊度解算可靠性降低的问题，提出一种基于模糊度线性约束的消电离层MCAR方法。该方法通过模型等价性原理构建了基于几何相关-消电离层组合模型，并凭借能够可靠解算的超宽巷/宽巷模糊度值形成线性约束，进而构造窄巷模糊度解算模型，最终求解窄巷模糊度及精密定位结果。多组北斗三频实际数据测试结果表明，即使双差电离层延迟达到73.2 cm，所提出方法也可实现模糊度解算成功率高于96%，定位精度优于15 cm。

关键词: 多频模糊度解算, 等价性原理, 消电离层组合, 线性约束, 模型强度

Abstract: Ionospheric delay is a crucial factor affecting the reliability of narrow-lane ambiguity resolution in the traditional multi-carrier ambiguity resolution (MCAR) method.To obtain a better narrow-lane ambiguity resolution performance, a new ionosphere-free MCAR method based on ambiguity linear constraints is proposed.The method constructs a geometry-based and ionosphere-free model by using the equality lemma, and then formats a narrow-lane ambiguity resolution model to resolve narrow-lane ambiguity and precise position depending on the ambiguity linear constraints formed by reliable extra wide-lane/wide-lane ambiguity value.The performance of the proposed method is tested by a series of experiments.The results denote that the proposed method achieves higher than ambiguity success rate of 96% and the position precision of about 15 cm, even though the double-differenced ionospheric delay increases up to 73.2 cm.

Key words: multi-carrier ambiguity resolution, equality lemma, ionosphere-free combination, linear constraints, model's strength

中图分类号:

P228

贾春, 赵琳, 李亮, 程建华, 李慧. 模糊度线性约束的消电离层多频模糊度解算[J]. 测绘学报, 2018, 47(7): 930-939.

JIA Chun, ZHAO Lin, LI Liang, CHENG Jianhua, LI Hui. Ionosphere-free Multi-carrier Ambiguity Resolution Method Based on Ambiguity Linear Constraints[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(7): 930-939.

参考文献

[1] FORSSELL B, MARTÍN-NEIRA M, HARRIS R. Carrier Phase Ambiguity Resolution in GNSS-2[C]//Proceedings of ION GPS. Kansas City, MO:[s.n.], 1997:1727-1736.
[2] 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.
[3] WERNER W, WINKEL J. TCAR and MCAR Options with Galileo and GPS[C]//Proceedings of the 16th International Technical Meeting of the Satellite Division of The Institute of Navigation. Portland, OR:[s.n.], 2003:790-800.
[4] FENG Yanming. GNSS Three Carrier Ambiguity Resolution Using Ionosphere-reduced Virtual Signals[J]. Journal of Geodesy, 2008, 82(12):847-862.
[5] 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.
[6] ZHANG Xiaohong, HE Xiyang. Performance Analysis of Triple-frequency Ambiguity Resolution with BeiDou Observations[J]. GPS Solutions, 2016, 20(2):269-281.
[7] ZHAO Dongsheng, ROBERTS G W, LAU L, et al. A Theoretical and Empirical Integrated Method to Select the Optimal Combined Signals for Geometry-free and Geometry-based Three-carrier Ambiguity Resolution[J]. Sensors, 2016, 16(11):1929.
[8] LI Liang, JIA Chun, ZHAO Lin, et al. Integrity Monitoring-based Ambiguity Validation for Triple-carrier Ambiguity Resolution[J]. GPS Solutions, 2017, 21(2):797-810.
[9] FENG Yanming, RIZOS C. Three Carrier Approaches for Future Global, Regional and Local GNSS Positioning Services:Concepts and Performance Perspectives[C]//Proceedings of the 18th International Technical Meeting of the Satellite Division of the Institute of Navigation. Long Beach, CA:[s.n.], 2005:2277-2278.
[10] CHEN Dezhong, YE Shirong, XIA Jinchao, 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.
[11] ZHAO Qile, DAI Zhiqiang, HU Zhiguang, et al. Three-carrier Ambiguity Resolution Using the Modified TCAR Method[J]. GPS Solutions, 2015, 19(4):589-599.
[12] LI Bofeng, FENG Yanming, GAO Weiguang, et al. Real-time Kinematic Positioning over Long Baselines Using Triple-frequency BeiDou Signals[J]. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(4):3254-3269.
[13] 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.
[14] LIU Libo, WAN Weixing, NING Baiqi, et al. Solar Activity Variations of the Ionospheric Peak Electron Density[J]. Journal of Geophysical Research:Space Physics, 2006, 111(A8):A011598.
[15] GENG Jianghui, BOCK Y. Triple-frequency GPS Precise Point Positioning with Rapid Ambiguity Resolution[J]. Journal of Geodesy, 2013, 87(5):449-460.
[16] 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. LI Bofeng, SHEN Yunzhong, FENG Yanming. Long-range Real-time Precise Navigation with Three Fequency GNSS[J]. Geomatics and Information Science of Wuhan University, 2009, 34(7):782-786.
[17] LI Bofeng, LI Zhen, ZHANG Zhiteng, et al. ERTK:Extra-wide-lane RTK of Triple-frequency GNSS Signals[J]. Journal of Geodesy, 2017, 91(9):1031-1047.
[18] SHEN Yunzhong, Xu Guochang. Simplified Equivalent Representation of GPS Observation Equations[J]. GPS Solutions, 2008, 12(2):99-108.
[19] 李博峰, 葛海波, 沈云中. 无电离层组合、Uofc和非组合精密单点定位观测模型比较[J]. 测绘学报, 2015, 44(7):734-740. LI Bofeng, GE Haibo, SHEN Yunzhong. Comparison of Ionosphere-free, Uofc and Uncombined PPP Observation Models[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(7):734-740.
[20] 吴永康. 矩阵方程的通解及其结构[J]. 工科数学, 2002, 18(1):102-104. WU Yongkang. The General Solutions and Its Structure of Matrix Equation[J]. Journal of Mathematics for Technology, 2002, 18(1):102-104.
[21] TEUNISSEN P J G. Success Probability of Integer GPS Ambiguity Rounding and Bootstrapping[J]. Journal of Geodesy, 1998, 72(10):606-612.
[22] SAASTAMOINEN J. Contributions to the Theory of Atmospheric Refraction[J]. Bulletin Géodésique, 1973, 105(1):279-298.
[23] WIELGOSZ P, PAZIEWSKI J, BARYŁA R. On Constraining Zenith Tropospheric Delays inProcessing of Local GPS Networks with Bernese Software[J]. Survey Review, 2011, 43(323):472-483.
[24] TAKASU T, YASUDA A. Kalman-filter-based Integer Ambiguity Resolution Strategy for Long-baseline RTK with Ionosphere and Troposphere Estimation[C]//Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation. Portland, OR:[s.n.], 2010:161-171.
[25] LI Liang, LI Zishen, YUAN Hong, et al. Integrity Monitoring-based Ratio Test for GNSS Integer Ambiguity Validation[J]. GPS Solutions, 2016, 20(3):573-585.
[26] 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. 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.
[27] LI Bofeng, VERHAGEN S, TEUNISSEN P J G. Robustness of GNSS Integer Ambiguity Resolution in the Presence of Atmospheric Biases[J]. GPS Solutions, 2014, 18(2):283-296.

模糊度线性约束的消电离层多频模糊度解算

Ionosphere-free Multi-carrier Ambiguity Resolution Method Based on Ambiguity Linear Constraints

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