航空学报 > 1997, Vol. 18 Issue (2): 173-177

导航精度的评估与检验

金宏1, 张洪钺1, 金忠2   

  1. 1. 北京航空航天大学自控系, 北京, 100083;2. 南京理工大学应用数学系, 南京, 210094
  • 收稿日期:1996-04-11 修回日期:1996-07-15 出版日期:1997-04-25 发布日期:1997-04-25

EVALUATION AND TEST OF NAVIGATION ACCURACY

Jin Hong1, Zhang Hongyue1, Jin Zhong2   

  1. 1. Dept. of Automatic Control, Beijing University of Aeronautics & Astronautics, Beijing, 100083;2. Dept. of Applied Math., Nanjing University of Science & Technology, Nanjing, 210094
  • Received:1996-04-11 Revised:1996-07-15 Online:1997-04-25 Published:1997-04-25

摘要:

在Poor估计算法的基础上,研究了导航系统的位置误差模型,对Poor假设进行了修改和补充,将随机过程的各态历经性推广到多元随机过程的各态历经性,提出了Poor估计算法必须建立在多元随机过程的各态历经性上才能实现,并给出了实现的充分条件。讨论了导航精度的假设检验问题,提出通过对不同导航系统之间的相对误差进行多元统计分析,来研究各导航系统的精度问题。

关键词: 导航误差, 估计, 检验, 遍历过程

Abstract:

Based on Poor's estimation algorithm, the error model of a navigation system is studied from the point of view of stochastic process, which modifies Poor's assumptions on random navigation system error, and extends the ergodicity of stochastic process to the case of multivariate stochastic process, pointing out that Poor's estimation algorithm must be built on the ergodicity of multivariate stochastic process for practical use, and a sufficient condition is given for the application of Poor's algorithm. Moreover, the hypothesis test problem of navigation system accuracy is discussed. It is proposed that the accuracy problem of a navigation system could be studied by multivariate statistical analysis of the relative error between two different navigation systems.

Key words: navigation error, estimates, test, ergodic process

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