测绘学报

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X射线脉冲星导航中脉冲轮廓的频偏和时延算法

费保俊 FEI Bao-Jun   

  1. 装甲兵工程学院
  • 收稿日期:2011-03-23 修回日期:1900-01-01 出版日期:2011-05-05 发布日期:2015-06-24
  • 通讯作者: 费保俊 FEI Bao-Jun

Arithmetic of frequency drift and time delay between pulse profiles in XNAV

  • Received:2011-03-23 Revised:1900-01-01 Online:2011-05-05 Published:2015-06-24

摘要: 摘要:观测轮廓与标准轮廓的频率偏差和时间延迟是X射线脉冲星导航的两个观测量,它们的计算还应达到较高的精度.本文系统讨论了它们的计算方法并提出几点新的改进意见.第一,对探测器的最小分辨时间作进一步的时间细分,在每一个小的时间间隔内接收的光子数可以假设满足二项分布,在此基础上对观测轮廓叠加可以求得更高精度的频偏;第二,将实际观测轮廓分为理想轮廓及其偏差两部分, 而TOA是指理想轮廓与标准轮廓的时延. 并指出Sala等人提出的用相关函数求TOA方法仅对理想轮廓成立.第三,证明了如果实际轮廓在测量过程中形状不变,则偏差产生的TOA估计误差为一常数. 在此基础上提出了实际观测轮廓的TOA估计方法,其计算精度小于探测器的最小分辨率.

Abstract: Abstract: The frequency drift and time delay are two measurement variables of XNAV. The computation of them should offer high precision. Here we systematically discuss the computation method and propose some modifications. First, we further divide the bin into smaller time-interval, and presume photons received in each interval comply with binomial distribution. The folding of observed profile on such interval results in more accurate frequency drift. The second, the observe profile can be divided into ideal profile and the bias, and the time-of-arrive (TOA) is time lag between ideal profile and standard profile. We point out that Sala’s TOA formula, derived with maximum of correlation function, only hold for ideal profile. The third, we prove that TOA’s error caused by the bias of profile is a constant, in case the observe profile doesn’t change during measurement.As above, the computation method of TOA is proposed and the precision of TOA can be smaller than the discern time of the detector.