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The estimation of pulsar period is important for pulsar searching, observation and timing. In this paper, the frequency-domain method which is popular in periodicity searches is analyzed, and further more, a novel method in time-domain is proposed to estimate the cyclo-period of pulsars based on the second-order cyclo-stationary model of the radiation signal. Firstly, the discrete-time observing signal is blocked by assumed period which is alterable. Then, the correlation estimations and their sample variances are computed each as a function of blocking operator index, where the largest peaks display a periodic pattern, from which the cyclo-period can be obtained. Using this method, the period of PSR J0437-4715 with single pulse is estimated well based on original signal, and the period of PSR B1821-24 with double pulses is also estimated based on the simulated signal. The same work is done for the observed data from ATNF EPN pulsar database. The simulation results and the experimental results for many pulsars show that compared with the classical Fourier-transform method, this algorithm is non-sensitive to the noise, and it is effective even though in the case of low signal-to-noise ratio. And it is of low computation complexity compared with the bispectrum coherence method. This method possesses higher popularization value in real-time observation and processing for weak pulsar signal, though it does not work well in dealing with noncontinuous observing data.
[1] [2] Li J X, Ke X Z 2009 Sci. China G: Phys. Mech. Astron. 52 303
[3] [4] Nan R D 2006 Sci. China G: Phys. Mech. Astron. 49 129
[5] [6] Belczynski K, Kalogera V M, Bulik T 2002 Astrophys. J. 572 407
[7] [8] Stairs I H 2006 J. Phys. G: Nucl. Phys. 32 259
[9] Kramer M, Xilouris K M, Fernando C 1999 Astrophys. J. 520 324
[10] [11] [12] Li J X, Ke X Z 2010 Acta Phys. Sin. 59 8305 (in Chinese) [李建勋, 柯熙政 2010 59 8305]
[13] Lyne A G, Smith F G 1998 Pulsar Astronomy (Cambridge: Cam-bridge University Press) p106
[14] [15] [16] Hu H J, Zhao B S, Sheng L Z, Yan Q R 2011 Acta Phys. Sin. 60 857 (in Chinese) [胡慧君, 赵宝升, 盛立志, 鄢秋荣 2011 60 857]
[17] Zhong C X, Yang T G 2007 Acta Phys. Sin. 56 6157 (in Chinese) [仲崇霞, 杨廷高 2007 56 6157]
[18] [19] Xie Z H, Xu L P, Ni G R 2008 Acta Phys. Sin. 57 6683 (in Chinese) [谢振华, 许录平, 倪广仁 2008 57 6683]
[20] [21] Zhang H, Xu L P, Xie Q, Luo N 2011 Acta Phys. Sin. 60 822 (in Chinese) [张华, 许录平, 谢强, 罗楠 2011 60 822]
[22] [23] Zhang H, Xu L P 2011 Acta Phys. Sin. 60 816 (in Chinese) [张华, 许录平 2011 60 816]
[24] [25] [26] Lorimer D R, Kramer M 2005 Handbook of Pulsar Astronomy (Cambridge: Cambridge University Press) p127
[27] [28] Giannakis G B 1999 Digital Signal Processing Handbook (Boca Raton: CRC Press LLC) p168
[29] Wang J D, Chen T W, Huang B 2006 IEEE Trans. Signal Proces. 54 83
[30] [31] Lorimer D R 1998 arXiv: 9801091 [astro-ph]
[32] [33] Hurd H L, Gerr N L 1991 J. Times Ser. Anal. 12 337
[34] [35] [36] Lii K S, Rosenblatt M 2006 Ann. Stat. 34 1115
[37] Van Straten W 2003 Ph.D. dissertation (Swinburne University of Technology)
[38] [39] [40] Hanson J E, Sheikh S I, Graven P H the 2008 IEEE-ION PLANS Symposium Monterey, USA May 58, 2008 p704
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[1] [2] Li J X, Ke X Z 2009 Sci. China G: Phys. Mech. Astron. 52 303
[3] [4] Nan R D 2006 Sci. China G: Phys. Mech. Astron. 49 129
[5] [6] Belczynski K, Kalogera V M, Bulik T 2002 Astrophys. J. 572 407
[7] [8] Stairs I H 2006 J. Phys. G: Nucl. Phys. 32 259
[9] Kramer M, Xilouris K M, Fernando C 1999 Astrophys. J. 520 324
[10] [11] [12] Li J X, Ke X Z 2010 Acta Phys. Sin. 59 8305 (in Chinese) [李建勋, 柯熙政 2010 59 8305]
[13] Lyne A G, Smith F G 1998 Pulsar Astronomy (Cambridge: Cam-bridge University Press) p106
[14] [15] [16] Hu H J, Zhao B S, Sheng L Z, Yan Q R 2011 Acta Phys. Sin. 60 857 (in Chinese) [胡慧君, 赵宝升, 盛立志, 鄢秋荣 2011 60 857]
[17] Zhong C X, Yang T G 2007 Acta Phys. Sin. 56 6157 (in Chinese) [仲崇霞, 杨廷高 2007 56 6157]
[18] [19] Xie Z H, Xu L P, Ni G R 2008 Acta Phys. Sin. 57 6683 (in Chinese) [谢振华, 许录平, 倪广仁 2008 57 6683]
[20] [21] Zhang H, Xu L P, Xie Q, Luo N 2011 Acta Phys. Sin. 60 822 (in Chinese) [张华, 许录平, 谢强, 罗楠 2011 60 822]
[22] [23] Zhang H, Xu L P 2011 Acta Phys. Sin. 60 816 (in Chinese) [张华, 许录平 2011 60 816]
[24] [25] [26] Lorimer D R, Kramer M 2005 Handbook of Pulsar Astronomy (Cambridge: Cambridge University Press) p127
[27] [28] Giannakis G B 1999 Digital Signal Processing Handbook (Boca Raton: CRC Press LLC) p168
[29] Wang J D, Chen T W, Huang B 2006 IEEE Trans. Signal Proces. 54 83
[30] [31] Lorimer D R 1998 arXiv: 9801091 [astro-ph]
[32] [33] Hurd H L, Gerr N L 1991 J. Times Ser. Anal. 12 337
[34] [35] [36] Lii K S, Rosenblatt M 2006 Ann. Stat. 34 1115
[37] Van Straten W 2003 Ph.D. dissertation (Swinburne University of Technology)
[38] [39] [40] Hanson J E, Sheikh S I, Graven P H the 2008 IEEE-ION PLANS Symposium Monterey, USA May 58, 2008 p704
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