基于单历元的三频整周模糊度确定算法
|
摘要
利用载波观测量相对定位可以获得较高精度定位结果,但关键是如何快速、正确地固定整周模糊度。论文首先分析宽窄巷组合算法,得到双频模糊度解算结果,然后在此方法基础上,提出了一种基于单历元的三频模糊度解算方法,通过扩充第三个载波观测值,得到三个频率整周模糊度。实验利用宽窄巷组合法解算整周模糊度作为参考值,验证三频模糊度分解法解算整周模糊度的正确性,并分析比较不同接收机在同地点同时间对两种卫星导航系统卫星信号整周模糊度的影响。实验结果表明只需要一个历元的观测数据就可以解算出三个频率载波相位整周模糊度值,并且北斗系统中论文方法的效果好于宽窄巷方法,解算效率更高。
The higher accuracy of positioning with carrier observation can be given by using relative positioning and the key is how to calculate the ambiguity resolution fast and correctly. In this paper,firstly the ambiguity resolution of two frequencies calculated by the wide-lane and narrow-lane combination method is studied. Then based on the method,the algorithm of tri-frequency ambiguity resolution on single-epoch is proposed and the tri-frequency ambiguity resolutions are calculated by expanding third carrier observations. The result of ambiguity resolution calculated by the wide-lane and narrow-lane method is regarded as reference. The validity of resolving integer ambiguity is verified by simulation experiment and the impact of different receivers in the same place at the same time on the two satellite navigation systems of satellite signal ambiguity is compared. The results indicate that the integer ambiguity can be fixed at single-epoch with tri-frequency ambiguity resolution,and the efficiency of the algorithm is better than the wide-lane and narrow-lane combination method.
The higher accuracy of positioning with carrier observation can be given by using relative positioning and the key is how to calculate the ambiguity resolution fast and correctly. In this paper,firstly the ambiguity resolution of two frequencies calculated by the wide-lane and narrow-lane combination method is studied. Then based on the method,the algorithm of tri-frequency ambiguity resolution on single-epoch is proposed and the tri-frequency ambiguity resolutions are calculated by expanding third carrier observations. The result of ambiguity resolution calculated by the wide-lane and narrow-lane method is regarded as reference. The validity of resolving integer ambiguity is verified by simulation experiment and the impact of different receivers in the same place at the same time on the two satellite navigation systems of satellite signal ambiguity is compared. The results indicate that the integer ambiguity can be fixed at single-epoch with tri-frequency ambiguity resolution,and the efficiency of the algorithm is better than the wide-lane and narrow-lane combination method.
引文
[1]刘亚涛,董绪荣,胡晓粉,等.海基精密进近着陆算法综述[C]//武汉:中国卫星导航系统管理办公室,2013:156-160.LIU Yatao,DONG Xurong,HU Xiaofen,et al. A Survey of Sea-Based JPALS Relative Navigation Algorithm[C]//Chinese Satellite Navigation Conference,2013:156-160.
[2]黄丁发,张勤,张小红,等.卫星导航定位原理[M].武汉:武汉大学出版社,2015:251-259.HUANG Dingfa,ZHANG Qing,ZHANG Xiaohong,et al.Algorithm of satellite navigation and positioning[M]. Wuhan:Wuhan University Press,2015:251-259.
[3]李征航,张小红.卫星导航定位新技术及高精度数据处理方法[M].武汉:武汉大学出版社,2009:240-241.LI Hangzheng,ZHANG Xiaohong. New Techniques and Precise Data Processing Methods of Satellite Navigation and Positioning[M]. Wuhan:Wuhan University Press,2015:240-241.
[4]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.GAO Meng,XU Aigong,ZHU Huizhong,et al. The algorithm of triple-frequency ambiguity resolution between BDSnetwork RTK reference Stations[J]. Acta Geodaetica et Cartographica Sinica,2017,46(4):442-452.
[5]Benjamin W.Remondi. Pseudo-kinematic GPS Results Using the Ambiguity Function Method[J]. Journal of The Institute of Navigation,1991,42(1):109-165.
[6]Hatch R. Instantaneous Ambiguity Resolution[C]//Canada. Proceedings of KIS'90. 10-13September,1990:299-308.
[7]Teunissen P J G.A New Method for Fast Carrier Phase Ambiguity Estimation[C]//Las Vegas. Proceedings of IEEE PLANS'94,1994:562-573.
[8]陈树新. GPS整周模糊度动态确定的算法及性能研究[D].西安:西北工业大学,2002:9-11.CHEN Shuxin. A study of the algorithm and its performance for GPS ambiguity resolution on the fly[D]. Xi'an:Northwestern Polytechnical University,2002:9-11.
[9]汪平,郝金明,刘伟平,等.使用多频组合观测值探测与修复周跳.[J].测绘通报,2009,6:12-15.WANG Ping,HAO Jinming,LIU Weiping,et al. Cycle Slip Detecting and Repairing Using Multi-frequency Combination Observation[J]. Bulletin of Surveying and Mapping,2009,6:12-15.
[10]黄丁发,张勤,张小红,等.卫星导航定位原理[M].武汉:武汉大学出版社,2015:217-218.HUANG Dingfa,ZHANG Qin,ZHANG Xiaohong,et al.Principle of satellite navigation and positioning[M]. Wuhan:Wuhan University Press,2015:217-218.
[11]黄丁发,周乐涛,李成刚,等. GPS增强参考站网络理论[M].北京:科学出版社,2011:113-114.HUANG Dingfa,ZHOU Letao,LI Chenggang,et al. GPS enhanced reference station network theory[M]. Beijing:Science Press,2011:113-114.
[12]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,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.
[13]Hatch R. A New Three-Frequency,Geometry-Free Technique for Ambiguity Resolution[C]//Texas. Proceedings of ION GNSS,2006:209-316.
[14]李博峰,沈云中.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. A new method for medium and long range tree frequency GNSS rapid ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica,2009,38(4):296-301.
[15]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.
[2]黄丁发,张勤,张小红,等.卫星导航定位原理[M].武汉:武汉大学出版社,2015:251-259.HUANG Dingfa,ZHANG Qing,ZHANG Xiaohong,et al.Algorithm of satellite navigation and positioning[M]. Wuhan:Wuhan University Press,2015:251-259.
[3]李征航,张小红.卫星导航定位新技术及高精度数据处理方法[M].武汉:武汉大学出版社,2009:240-241.LI Hangzheng,ZHANG Xiaohong. New Techniques and Precise Data Processing Methods of Satellite Navigation and Positioning[M]. Wuhan:Wuhan University Press,2015:240-241.
[4]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.GAO Meng,XU Aigong,ZHU Huizhong,et al. The algorithm of triple-frequency ambiguity resolution between BDSnetwork RTK reference Stations[J]. Acta Geodaetica et Cartographica Sinica,2017,46(4):442-452.
[5]Benjamin W.Remondi. Pseudo-kinematic GPS Results Using the Ambiguity Function Method[J]. Journal of The Institute of Navigation,1991,42(1):109-165.
[6]Hatch R. Instantaneous Ambiguity Resolution[C]//Canada. Proceedings of KIS'90. 10-13September,1990:299-308.
[7]Teunissen P J G.A New Method for Fast Carrier Phase Ambiguity Estimation[C]//Las Vegas. Proceedings of IEEE PLANS'94,1994:562-573.
[8]陈树新. GPS整周模糊度动态确定的算法及性能研究[D].西安:西北工业大学,2002:9-11.CHEN Shuxin. A study of the algorithm and its performance for GPS ambiguity resolution on the fly[D]. Xi'an:Northwestern Polytechnical University,2002:9-11.
[9]汪平,郝金明,刘伟平,等.使用多频组合观测值探测与修复周跳.[J].测绘通报,2009,6:12-15.WANG Ping,HAO Jinming,LIU Weiping,et al. Cycle Slip Detecting and Repairing Using Multi-frequency Combination Observation[J]. Bulletin of Surveying and Mapping,2009,6:12-15.
[10]黄丁发,张勤,张小红,等.卫星导航定位原理[M].武汉:武汉大学出版社,2015:217-218.HUANG Dingfa,ZHANG Qin,ZHANG Xiaohong,et al.Principle of satellite navigation and positioning[M]. Wuhan:Wuhan University Press,2015:217-218.
[11]黄丁发,周乐涛,李成刚,等. GPS增强参考站网络理论[M].北京:科学出版社,2011:113-114.HUANG Dingfa,ZHOU Letao,LI Chenggang,et al. GPS enhanced reference station network theory[M]. Beijing:Science Press,2011:113-114.
[12]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,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.
[13]Hatch R. A New Three-Frequency,Geometry-Free Technique for Ambiguity Resolution[C]//Texas. Proceedings of ION GNSS,2006:209-316.
[14]李博峰,沈云中.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. A new method for medium and long range tree frequency GNSS rapid ambiguity resolution[J]. Acta Geodaetica et Cartographica Sinica,2009,38(4):296-301.
[15]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.