非等间隔计时数据的X射线脉冲星周期快速搜索算法

周庆勇; 姬剑锋; 任红飞

doi:10.7498/aps.62.019701

摘要

利用X射线脉冲星信号的计时信息实现航天器深空导航具有重要意义, 精确的时间模型(周期及周期导数) 是获得高精度自主导航的基础.针对X射线光子并非等间隔地到达探测器的特点, 在对比分析两种非等间隔数据处理方法(χ2量评估方法和Lomb算法)的基础上, 提出了用Lomb算法估计脉冲星周期初值, 进一步使用χ2量评估方法精化周期值的方法.同时运用快速傅里叶变换算法的思想对Lomb算法进行改进, 较大地提高了程序的运算效率.最后利用X射线源仿真系统的计时数据对算法进行试验分析, 搜索出准确的脉冲星周期和折叠出正确的脉冲轮廓.

关键词:

Abstract

Timing information of X-ray pulsar signal is of the vital significance for realizing the autonomous navigation of spacecraft in deep space. The accurate timing model (period and period derivation) is the foundation of achieving high-precision auto-navigation solutions. Because the data that the X-ray photons arrive at the detector are unevenly spaced, both χ2 evaluation method and Lomb algorithm are analyzed. The idea is brought forward that the initial value of pulsar period is gained using the χ2 evaluation method, then the result of period is refined by Lomb algorithm. Meanwhile, the Lomb algorithm is ameliorated by the idea of fast Fourier transform algorithm, the efficiency of operation is enhanced highly. Finally the exact pulsar period is estimated, and correct pulse profile is replicated using the measured timing data from the X-ray source simulation system which used to validate the algorithm.

Keywords:

作者及机构信息

1.
地理信息工程国家重点实验室, 西安 710054;

2.
西安测绘研究所, 西安 710054

基金项目: 国家自然科学基金(批准号: 41004013, 41174025, 41204020)资助的课题.

Authors and contacts

1.
State Key Laboratory of Geo-Information Engineering, Xi’an 710054, China;

2.
Xi’an Research Institute of Surveying and Mapping, Xi’an 710054, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 41004013, 41174025, 41204020).

参考文献

[1]	Sheikh S I, Pines D J 2006 Journal of Guidance, Control, and Dynamics 29 49
[2]	Mao Y 2009 Ph. D. Dissertation (Zhengzhou: PLA Information Engineering University) (in Chinese) [毛悦 2009博士学位论文 (郑州: 解放军信息工程大学)]
[3]	Sheikh S I 2005 Ph. D. Dissertation (USA: University of Maryland)
[4]	Burns W R, Clark B G 1969 Astron. Astrophys. 2 280
[5]	Ransom S M, Eikenberry S S, Middleditch J 2002 The Astronomical Journal 124 1788
[6]	Ransom S M, Cordes J M, Eikenberry S S 2003 The Astronomical Journal 589 911
[7]	Li J X, Ke X Z, Zhao B S 2012 Acta Phys. Sin. 61 069701 (in Chinese) [李建勋, 柯熙政, 赵宝升2012物理学报 61 069701]
[8]	Su Z, Wang Y, Xu L P 2010 Journal of Astronautics 31 1563 (in Chinese) [苏哲, 王勇, 许录平 2010 宇航学报 31 1563]
[9]	Hu G S 2009 Numeric Signal Processing (Beijing: Tsing University Press) p169 (in Chinese) [胡广书 2009数字信号处理 (北京:清华大学出版社) p169]
[10]	William H, Press S A, Teukolsky W T, Brlan P F 2007 Numerical Recipes: The Art of Scientific Computing (3rd Ed.) (London: Cambridge University Press) p685
[11]	Jian N C, Wang G L, Li J L, Zhang B 2006 Acta Astr. Sin. 47 336 (in Chinese) [简念川, 王广利, 李金岭, 张波 2006 天文学报 47 336]
[12]	Andrew L, Francis G S 2005 Pulsar Astronomy (2nd Ed.) (London: Cambridge University Press) p24
[13]	Lomb N R 1976 Astrophysics and Space Science 39 447
[14]	Scargle J D 1982 Astrophysical Journal 338 277
[15]	Press W H, Rybicki G B 1989 Astrophysical Journal 302 757
[16]	Li Z B 2011 Ph. D. Dissertation (Beijing: Chinese Academy of Sciences) (in Chinese) [李志兵2011博士学位论文 (北京: 中国科学院研究生院)]

施引文献

[1]	Sheikh S I, Pines D J 2006 Journal of Guidance, Control, and Dynamics 29 49
[2]	Mao Y 2009 Ph. D. Dissertation (Zhengzhou: PLA Information Engineering University) (in Chinese) [毛悦 2009博士学位论文 (郑州: 解放军信息工程大学)]
[3]	Sheikh S I 2005 Ph. D. Dissertation (USA: University of Maryland)
[4]	Burns W R, Clark B G 1969 Astron. Astrophys. 2 280
[5]	Ransom S M, Eikenberry S S, Middleditch J 2002 The Astronomical Journal 124 1788
[6]	Ransom S M, Cordes J M, Eikenberry S S 2003 The Astronomical Journal 589 911
[7]	Li J X, Ke X Z, Zhao B S 2012 Acta Phys. Sin. 61 069701 (in Chinese) [李建勋, 柯熙政, 赵宝升2012物理学报 61 069701]
[8]	Su Z, Wang Y, Xu L P 2010 Journal of Astronautics 31 1563 (in Chinese) [苏哲, 王勇, 许录平 2010 宇航学报 31 1563]
[9]	Hu G S 2009 Numeric Signal Processing (Beijing: Tsing University Press) p169 (in Chinese) [胡广书 2009数字信号处理 (北京:清华大学出版社) p169]
[10]	William H, Press S A, Teukolsky W T, Brlan P F 2007 Numerical Recipes: The Art of Scientific Computing (3rd Ed.) (London: Cambridge University Press) p685
[11]	Jian N C, Wang G L, Li J L, Zhang B 2006 Acta Astr. Sin. 47 336 (in Chinese) [简念川, 王广利, 李金岭, 张波 2006 天文学报 47 336]
[12]	Andrew L, Francis G S 2005 Pulsar Astronomy (2nd Ed.) (London: Cambridge University Press) p24
[13]	Lomb N R 1976 Astrophysics and Space Science 39 447
[14]	Scargle J D 1982 Astrophysical Journal 338 277
[15]	Press W H, Rybicki G B 1989 Astrophysical Journal 302 757
[16]	Li Z B 2011 Ph. D. Dissertation (Beijing: Chinese Academy of Sciences) (in Chinese) [李志兵2011博士学位论文 (北京: 中国科学院研究生院)]

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