## 留言板

 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

###### 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.

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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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