Volume 37 Issue 4
Apr.  2011
Turn off MathJax
Article Contents
Chen Canhui, Zhang Xiaolin. Improved method of satellite positioning and dilution of precision[J]. Journal of Beijing University of Aeronautics and Astronautics, 2011, 37(4): 472-477. (in Chinese)
Citation: Chen Canhui, Zhang Xiaolin. Improved method of satellite positioning and dilution of precision[J]. Journal of Beijing University of Aeronautics and Astronautics, 2011, 37(4): 472-477. (in Chinese)

Improved method of satellite positioning and dilution of precision

  • Received Date: 08 Jun 2010
  • Publish Date: 30 Apr 2011
  • In satellite navigation system, the traditional algorithm of solving dilution of precision (DOP) and satellite positioning based on least square method is the direct matrix inverse (DMI) method. In order to overcome the disadvantages of high computational burden and poor numerical stability of traditional DMI method, an improved method of satellite positioning and DOP was presented based on the matrix U T DU decomposition, which made use of the symmetric and positive definite performance of the measurement matrix. The correctness and validity of the new method can be guaranteed by the strict mathematical theory. The numerical results show that, in comparison with the traditional DMI method, the reduction of operational volume of positioning is about 60% and that of solving DOP is about 36% by the proposed method. At the same time, the condition number of the solving matrix of the improved method has reduced considerably after decomposition and the numerical stability is significantly improved.

     

  • loading
  • [1] Elliott D Kaplan,Christopher J Hegarty.GPS原理与应用[M].2版.寇艳红,译.北京:电子工业出版社,2007:36-472 Elliott D Kaplan, Christopher J Hegarty.Understanding GPS:principles and applications[M].2nd ed.Translated by Kou Yanhong.Beijing:Publishing House of Electronics Industry,2007:36-472(in Chinese) [2] Pratap Misra,Per Enge.全球定位系统:信号、测量与性能[M].2版.罗鸣,等,译.北京:电子工业出版社,2008:22-69 Pratap Misra,Per Enge.Global positioning system:signals,measurements,and performance[M]. 2nd ed.Translated by Luo Ming,et al.Beijing:Publishing House of Electronics Industry,2008:22-69(in Chinese) [3] 谢钢.GPS原理与接收机设计[M].北京:电子工业出版社,2009:96-153 Xie Gang.Principles of GPS and receiver design [M].Beijing:Publishing House of Electronics Industry,2009:96-153(in Chinese) [4] 常青,柳重堪,张其善.GPS的几何精度因子和定位解的递推算法[J].通信学报,1998,19(12):83-88 Chang Qing,Liu Zhongkan,Zhang Qishan.The recurrence algorithm for GDOP and positioning solution in GPS[J].Journal of China Institute of Communications,1998,19(12):83-88(in Chinese) [5] Bancroft S.An algebraic solution of the GPS equations[J].IEEE Transactions on Aerospace and Electronic Systems,1985,AES-21(1):56-59 [6] Krause L O.A direct solution to GPS-type navigation equations[J].IEEE Transactions on Aerospace and Electronic Systems,1987,AES-23(2):225-232 [7] Zhu Jijie.Calculation of geometric dilution of precision[J].IEEE Transactions on Aerospace and Electronic Systems,1992,28(3):893-895 [8] Shing H Doong.A closed-form formula for GPS GDOP computation [J].GPS Solutions,2009,13(3):183-190 [9] 陈小平,滕云龙,康荣雷,等.几何精度因子改进算法研究[J].电子科技大学学报,2008,37(增刊):27-30 Chen Xiaoping,Teng Yunlong,Kang Ronglei,et al.Study of improved arithmetric of GDOP [J].Journal of University of Electronic Science and Technology of China,2008,37(suppl):27-30 (in Chinese) [10] Timothy Sauer.数值分析[M].吴兆金,等,译.北京:人民邮电出版社,2010:67-212 Timothy Sauer.Numerical analysis [M].Translated by Wu Zhaojin,et al.Beijing:Posts & Telecom Press,2010:67-212(in Chinese) [11] Steven J Leon.线性代数[M].7版.张文博,张丽静,译.北京:机械工业出版社,2007:286-319 Steven J Leon.Linear algebra with applications[M].7nd ed.Translated by Zhang Wenbo,Zhang Lijing.Beijing:China Machine Press,2007:286-319(in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(2848) PDF downloads(1143) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return