[1]王胜利,王庆,高旺,等.GNSS多系统基线解算中的病态性分析与评价[J].东南大学学报(自然科学版),2013,43(4):753-757.[doi:10.3969/j.issn.1001-0505.2013.04.015]
 Wang Shengli,Wang Qing,Gao Wang,et al.Analysis and valuation of ill-condition in baseline solution of GNSS multi-system[J].Journal of Southeast University (Natural Science Edition),2013,43(4):753-757.[doi:10.3969/j.issn.1001-0505.2013.04.015]
点击复制

GNSS多系统基线解算中的病态性分析与评价()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
43
期数:
2013年第4期
页码:
753-757
栏目:
测绘与导航
出版日期:
2013-07-20

文章信息/Info

Title:
Analysis and valuation of ill-condition in baseline solution of GNSS multi-system
作者:
王胜利13王庆1高旺2潘树国1
1东南大学仪器科学与工程学院, 南京 210096; 2东南大学交通学院, 南京 210096; 3安徽理工大学测绘学院, 淮南 232001
Author(s):
Wang Shengli13 Wang Qing1 Gao Wang2 Pan Shuguo1
1School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China
2School of Transportation, Southeast University, Nanjing 210096, China
3School of Geodesy and Geomatics, Anhui University of Science and Technology, Huainan 232001, China
关键词:
GNSS多系统 基线解算 病态性 条件数
Keywords:
GNSS(global navigation satellite system)multi-system baseline solution ill-condition condition number
分类号:
P228.1
DOI:
10.3969/j.issn.1001-0505.2013.04.015
摘要:
针对各GNSS系统中不同的卫星轨道高度和运行角速度,结合病态性系统分析理论,对GNSS多系统基线解算中的病态性进行了分析和评价.首先,分析了病态性对参数求解的影响;然后,从卫星运动的角速度出发,采用条件数法对GPS,GLONASS以及北斗区域导航系统在独立解算不同长度基线中的病态性进行了对比研究;最后,对多系统融合之后模糊度解算过程中的病态性进行了评价.实验结果表明,GLONASS卫星运动的角速度最快,基线解算过程的病态性最弱,系数矩阵结构最好;以高轨卫星为主的北斗系统的病态性则最强.此外,基线解算过程的病态性强弱与基线的长短无关.在多系统融合之后,系数矩阵结构不会受北斗系统严重的病态性影响而明显变差,这有利于多系统融合中北斗系统模糊度的快速收敛.
Abstract:
Aiming at the different situations of satellites orbital altitude and angular velocity in GNSS(global navigation satellite system)multi-system, the ill-condition in baseline solution was analyzed and evaluated combined with the analysis theory on ill-conditioned system. First, the effect of ill-condition on the solution of parameters was analyzed. Then, form the viewpoint of satellites angular velocities, the ill-condition in independent baseline solution of the GPS(global positioning system), GLONASS(global navigation satellite system)and BDS(Beidou navigation satellite system)under different baseline-length data was studied by using the condition-number method. Finally, the ill-condition in multi-system integration was valuated. The experimental results show that the GLONASS satellites run fastest, so the ill-condition is the weakest and the coefficient matrix structure is the best. However, the ill-condition of the current BDS which mainly consists of high-orbit satellites is the strongest. Besides, the ill-condition in baseline solution is not related with the baseline length. For multi-system integration, the coefficient matrix structure is not obviously affected by the serious ill-condition of the BDS, which is conducive to the fast convergence of ambiguities resolution in baseline solution of the BDS.

参考文献/References:

[1] 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 BDS/beidou satellite navigation syste[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(1): 1-6.(in Chinese)
[2] 高成发,胡伍生.卫星导航定位原理与应用[M].北京:人民交通出版社,2011:14-16.
[3] 杨鑫春,徐必礼,胡杨.北斗卫星导航系统的星座性能分析[J].测绘科学, 2013,38(2):8-11.
  Yang Xinchun, Xu Bili, Hu Yang. Performance research of constellation for BDS[J]. Science of Surveying and Mapping, 2013, 38(2): 8-11.(in Chinese)
[4] Haoa W, Lib F. A new method for ill-conditioned diagnosis based on spatial analysis [J]. Journal of Information & Computational Science, 2010, 7(9): 1846-1853.
[5] Xu P, Shen Y, Fukuda Y, et al. Variance component estimation in linear inverse ill-posed models[J]. Journal of Geodesy, 2006, 80(2): 69-81.
[6] 黄丁发,熊永良,袁林果.全球定位系统——理论与实践[M].成都:西南交通大学出版社,2006:71-73.
[7] 郭秋英, 胡振琪. GPS 快速定位方程的病态性对整周模糊度及基线解的影响 [J]. 测绘科学, 2007, 32(2): 42-43.
  Guo Qiuying, Hu Zhenqi.The effect of ill-condition equations of GPS rapid positioning on the GPS baseline solution[J]. Science of Surveying and Mapping, 2007, 32(2): 42-43.(in Chinese)
[8] 卢秀山,冯遵德,刘纪敏.病态系统分析理论及其在测量中的应用[M].北京:测绘出版社, 2007:7-15.
[9] 周建华,陈刘成,胡小工,等. GEO导航卫星多种观测资料联合精密定轨[J].中国科学:物理学,力学,天文学,2010,40(5): 520-527.
  Zhou Jianhua, Chen Liucheng, Hu Xiaogong, et al. The precise orbit determination of GEO navigation satellite with multi-types observation[J]. Science China: Physics, Mechanics & Astronomy, 2010, 40(5): 520-527.(in Chinese)
[10] Teunissen P J G, de Jonge P J, Tiberius C. On the spectrum of the GPS DD-ambiguities [C]//Proceedings of the 7th International Technical Meeting of the Satellite Division. Salt Lake City, UT, USA, 1994: 115-124.
[11] Li B, Shen Y, Feng Y. Fast GNSS ambiguity resolution as an ill-posed problem[J]. Journal of Geodesy, 2010, 84(11): 683-698.
[12] Rodriguez G, Seatzu S, Theis D. A new technique for ill-conditioned linear systems[J]. Numerical Algorithms, 2003, 33(1/2/3/4): 433-442.

备注/Memo

备注/Memo:
作者简介: 王胜利(1981—),男,博士生; 王庆(联系人),男,博士,教授,博士生导师,w3398@263.net.
基金项目: “十二五”国家科技支撑计划资助项目(2012BAJ23B01).
引文格式: 王胜利,王庆,高旺,等.GNSS多系统基线解算中的病态性分析与评价[J].东南大学学报:自然科学版,2013,43(4):753-757. [doi:10.3969/j.issn.1001-0505.2013.04.015]
更新日期/Last Update: 2013-07-20