Volume 46 Issue 4
Apr.  2020
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XU Qiang, FAN Xiaohu, XU Liguo, et al. TSKF algorithm for pulsar position error estimation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(4): 761-768. doi: 10.13700/j.bh.1001-5965.2019.0288(in Chinese)
Citation: XU Qiang, FAN Xiaohu, XU Liguo, et al. TSKF algorithm for pulsar position error estimation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(4): 761-768. doi: 10.13700/j.bh.1001-5965.2019.0288(in Chinese)

TSKF algorithm for pulsar position error estimation

doi: 10.13700/j.bh.1001-5965.2019.0288
Funds:

National Natural Science Foundation of China 61503391

China Postdoctoral Science Foundation 2017M613372

More Information
  • Corresponding author: FENG Lei, E-mail: fengl1983@126.com
  • Received Date: 10 Jun 2019
  • Accepted Date: 12 Sep 2019
  • Publish Date: 20 Apr 2020
  • In order to improve the robustness of the pulsar position error estimation to the proper motion and satellite position error and the efficiency of the overall algorithm, a two-stage Kalman filter (TSKF) algorithm is designed. Firstly, the influences of pulsar proper motion and satellite position error on pulsar error estimation are analyzed, and the simulation results are verified by combining relevant algorithms. Secondly, based on the CV model and the principle of two-stage Kalman filter, the update equations of TSKF algorithm are derived, and the basic flow of parallel computing is analyzed. The data of the simulation experiment show that position accuracy of the TSKF algorithm is about 0.1 mas and corresponding proper motion accuracy is about 1.1 mas/a in the case of both proper motion and satellite position error. Compared with the estimation algorithm based on CV model, the floating point operation of TSKF algorithm only increases by 0.048%.

     

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  • [1]
    GRAVEN P, COLLINS J, SHEIKH S, et al.XNAV for deep space navigation[J].Advances in the Astronautical Sciences, 2008, 131:349-364.
    [2]
    SHEIKH S I, HELLINGS R W, MATZNER R A.High-order pulsar timing for navigation[C]//Proceedings of Annual Meeting of the Institute of Navigation.Manassas: Institute of Navigation, 2007: 432-443.
    [3]
    YOU S, WANG H, HE Y, et al.Pulsar profile construction based on double-redundant-dictionary and same-scale L1-norm compressed sensing[J].Optik, 2018, 164:617-623. doi: 10.1016/j.ijleo.2018.03.066
    [4]
    TAO A, HONG X Y, ZHENG W M, et al.Space very long baseline interferometry in China[J].Advances in Space Research, 2020, 65(2):850-855. doi: 10.1016/j.asr.2019.03.030
    [5]
    WAJIMA K, HAGIWARA Y, TAO A, et al.The East-Asian VLBI network[J].Physics, 2015, 502:403-413. http://d.old.wanfangdata.com.cn/OAPaper/oai_arXiv.org_1311.3431
    [6]
    NING X, GUI M, FANG J, et al.Differential X-ray pulsar aided celestial navigation for Mars exploration[J].Aerospace Science & Technology, 2017, 62:36-45. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=f49a60e0267b8e11f7b03dcbac2bf3a0
    [7]
    XU Q, WANG H, FENG L, et al.An improved augmented X-ray pulsar navigation algorithm based on the norm of pulsar direction error[J].Advances in Space Research, 2018, 62(11):3187-3198. doi: 10.1016/j.asr.2018.08.026
    [8]
    孙守明, 郑伟, 汤国建.X射线脉冲星星表方位误差估计算法研究[J].飞行器测控学报, 2010, 29(2):57-60. http://d.old.wanfangdata.com.cn/Periodical/fxqckxb201002013

    SUN S M, ZHENG W, TANG G J.A new estimation algorithm of the X-ray pulsar position error[J].Journal of Spacecraft TT & CC Technology, 2010, 29(2):57-60(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/fxqckxb201002013
    [9]
    王宏力, 许强, 由四海, 等.考虑卫星位置误差的增广脉冲星方位误差估计算法[J].国防科技大学学报, 2018, 40(5):177-182. http://d.old.wanfangdata.com.cn/Periodical/gfkjdxxb201805026

    WANG H L, XU Q, YOU S H, et al.Augmented estimation algorithm for pulsar position error with satellite position error[J].Journal of National University of Defense Technology, 2018, 40(5):177-182(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/gfkjdxxb201805026
    [10]
    孙守明, 郑伟, 汤国建.基于CV模型的X射线脉冲星位置误差估计[J].系统仿真学报, 2010, 22(11):2712-2714. http://d.old.wanfangdata.com.cn/Periodical/xtfzxb201011058

    SUN S M, ZHENG W, TANG G J.Position error estimation of X-ray pulsar based on CV model[J].Journal of System Simulation, 2010, 22(11):2712-2714(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/xtfzxb201011058
    [11]
    孙守明.基于X射线脉冲星的航天器自主导航方法研究[D].长沙: 国防科学技术大学, 2011. http://cdmd.cnki.com.cn/Article/CDMD-90002-2007140905.htm

    SUN S M.Study on autonomous navigation method of spacecraft based on X-ray pulsar[D].Changsha: National University of Defense Technology, 2011(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-90002-2007140905.htm
    [12]
    BOBOLTZ D A, FEY A L, JOHNSTON K J, et al.Astrometric positions and proper motions of 19 radio stars[J].Astronomical Journal, 2003, 126(1):484-493. doi: 10.1086/375462
    [13]
    MANCHESTER R N, HOBBS G B, TEOH A, et al.The australia telescope national facility pulsar catalogue[J].Astronomical Journal, 2005, 129(4):1993-2006. doi: 10.1086/428488
    [14]
    许强, 王宏力, 何贻洋, 等.基于截断误差的改进脉冲星导航观测方程[J].北京航空航天大学学报, 2018, 44(9):1974-1981. http://d.old.wanfangdata.com.cn/Periodical/bjhkhtdxxb201809021

    XU Q, WANG H L, HE Y Y, et al.Improved pulsar navigation measurement equation based on truncation errors[J].Journal of Beijing University of Aeronautics and Astronautics, 2018, 44(9):1974-1981(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/bjhkhtdxxb201809021
    [15]
    FRIEDLAND B.Treatment of bias in recursive filtering[J].IEEE Transactions on Automatic Control, 1969, AC-14(4):359-367. doi: 10.1109-TAC.1969.1099223/
    [16]
    HSIEH C S, CHEN F C.General two-stage Kalman filters[J].IEEE Transactions on Automatic Control, 2000, 45(4):819-824. http://d.old.wanfangdata.com.cn/NSTLQK/NSTL_QKJJ026357299/
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