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X射线脉冲星信号辐射的数值模拟方法
引用本文:任红飞,刘思伟,姬剑锋,周庆勇.X射线脉冲星信号辐射的数值模拟方法[J].武汉大学学报(信息科学版),2022,47(1):79-84.
作者姓名:任红飞  刘思伟  姬剑锋  周庆勇
作者单位:1.地理信息工程国家重点实验室,陕西 西安, 710054
基金项目:国家自然科学基金41674025
摘    要:概述了X射线脉冲星信号辐射模拟技术的发展概况,分析了当前基于非齐次泊松过程(non-homoge-neous poisson process,NHPP)的X射线信号数值模拟方法,在此基础上,采取了一种齐次泊松过程与经典概率相结合的数值模拟方法,与NHPP的模拟方法相比,该方法能够避免对流量密度函数的积分及对积分函数的求...

关 键 词:脉冲星导航  X射线源  信号模拟  泊松过程
收稿时间:2020-04-10

Numerical Simulation Method of X-Ray Pulsar Radiation Signal
Affiliation:1.State Key Laboratory of Geo-information Engineering, Xi'an 710054, China2.Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China
Abstract:  Objectives  At present, the numerical simulation of X-ray pulsar radiation signals is essential for the research on pulsar navigation. It can generate observation signals of any quantity and quality according to the demand. It is thus more cost-effective, maneuverable, and flexible than physical simulation, with great significance for the performance evaluation of pulsar navigation.  Methods  The development of simulation technologies of X-ray pulsar radiation signals is reviewed, and the current numerical simulation methods of X-ray pulsar signals based on the non-homogeneous Poisson process are analyzed. Then, a numerical simulation method combining the homogeneous Poisson process with classical probability is utilized, and the specific process of numerical simulation is discussed in detail.  Results  With the flux density functions of the Crab and B1509 pulsars, the time of arrival (TOA) of the signals of the two X-ray pulsars is numerically simulated in different observation periods. Then, the pulse profiles of the two pulsars are folded through Pearson chi-square statistics. The experiments show that for a certain pulsar, a longer observation time means more bins used in the process of pulse profile folding and a generated pulse profile closer to the profile template. For different pulsars, a sharper pulse profile and a smaller pulse half-width indicate a more accurate pulse profile generated over the same observation time. As a result, the X-ray pulsar radiation signals simulated by this method can fold according to certain periods for the generation of pulse profiles, and the results are generally consistent with the existing space observation results. This proves that the proposed simulation method is feasible.  Conclusions  Compared with the simulation method based on the non-homogeneous Poisson process, the proposed method saves the effort of solving the integral of the flux density function and the inversion of the integral function, thereby greatly simplifying the calculation process of numerical simulation. It is suitable for the simulation of pulsar radiation signals with any flux density.
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