西安电子科技大学学报

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快速最大似然估计用于脉冲星时间延迟测量

江若玫1;佘颜2   

  1. (1. 西安交通大学 城市学院,陕西 西安  710018;
    2. 西安电子科技大学 微电子学院,陕西 西安  710071)
  • 收稿日期:2015-07-16 出版日期:2016-10-20 发布日期:2016-12-02
  • 通讯作者: 佘颜

Method of time delay measurement based on fast maximum likelihood for pulsar pulse profile

JIANG Ruomei1;SHE Yan2   

  1. (1. City College, Xi'an Jiaotong Univ., Xi'an  710018, China;
    2. School of Microelectronics, Xidian Univ., Xi'an  710071, China)
  • Received:2015-07-16 Online:2016-10-20 Published:2016-12-02
  • Contact: SHE Yan
  • Supported by:

    江若玫(1979-),女,讲师, E-mail: 13991918588@139.com.
    通讯作者:佘颜(1988-),女,西安电子科技大学硕士研究生,E-mail: sheyan51@163.com

摘要:

针对X射线脉冲星时间延迟测量方法存在的测量精度不高、计算量大等问题,提出了一种基于快速最大似然估计时间延迟测量方法.首先通过历元折叠提取脉冲星脉冲轮廓,在此基础上建立似然函数,进而通过求解最大似然函数得到脉冲轮廓时间延迟量;通过缩小标准脉冲轮廓相位间隔对快速最大似然估计进行改进,采用粗略估计与精细估计相结合的方法精确计算时间延迟量.以脉冲星实测数据为基础,从观测时间和运算量对快速最大似然方法与其他方法进行仿真对比实验,结果表明,文中方法在保证运算效率基本不变的前提下,明显提高了时间延迟测量的精确度.

关键词: X射线脉冲星, 脉冲轮廓, 历元折叠, 时间延迟量, 快速最大似然估计

Abstract:

The time delay of the pulsar integrated pulse profile relative to the standard pulse profile is one of the important observations in an X-ray pulsar-based navigation system, with the measuring accuracy directly affecting the the pulsar-based navigation system. In order to improve the measuring accuracy of the time delay of the pulsar integrated pulse profile and reduce the computation complexity, a method called fast maximum likelihood (FML) estimation is proposed in this paper, which first distills the pulse profile of the X-ray pulsar by the epoch folding. Then, the likelihood function is estimated to obtain the time delay of the pulsar integrated pulse profile. This paper also improves the fast maximum likelihood time delay estimation by narrowing the phase interval of the standard pulse profile and combines rough estimation with accurate estimation to effectively compute the time delay. Real pulsar data observed by the Rossi X-ray Timing Explorer (RXTE) are used to validate the effectiveness of the proposed method from the aspects of the observed time and computational complexity. Compared with the Taylor FFT algorithm, the measurement accuracy of the proposed method can be significantly improved while keeping the total computational complexity.

Key words: X-ray pulsar, pulse profile, epoch folding, time delay, fast maximum likelihood estimation

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