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卫星定位和精度因子的改进方法

陈灿辉 张晓林

陈灿辉, 张晓林. 卫星定位和精度因子的改进方法[J]. 北京航空航天大学学报, 2011, 37(4): 472-477.
引用本文: 陈灿辉, 张晓林. 卫星定位和精度因子的改进方法[J]. 北京航空航天大学学报, 2011, 37(4): 472-477.
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)

卫星定位和精度因子的改进方法

基金项目: 国防科工局航天民用专项资助项目;北京市重点学科基金资助项目(XK100070525)
详细信息
    作者简介:

    陈灿辉(1973-),男,湖南汨罗人,博士生, canhuich@yahoo.com.cn.

  • 中图分类号: TN 967.1

Improved method of satellite positioning and dilution of precision

  • 摘要: 在卫星导航定位系统中,在精度因子计算和采用最小二乘法进行定位求解时,传统上采用测量矩阵直接求逆方法来进行.为了克服矩阵求逆带来的计算量大和数值稳定性差的不足,利用测量矩阵的对称正定性,提出了一种基于矩阵 UTDU 分解的定位解算和精度因子计算方法.改进方法具有严格的数学理论基础,保证了方法的正确性和有效性.数值分析结果表明,相对直接求逆的传统方法而言,在定位解算时,该方法能降低约 60%的运算量,而在精度因子计算中,约能降低36%的运算量.且改进方法能大大降低求解矩阵的条件数,提高了求解的数值稳定性.

     

  • [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)
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出版历程
  • 收稿日期:  2010-06-08
  • 网络出版日期:  2011-04-30

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