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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.
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Keywords:
- pulsar navigation /
- profile replicate /
- fast Fourier transform /
- X-ray source simulation system
[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 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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[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 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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