基于蒙特卡罗的x射线脉冲星信号仿真方法

Jing Jin, Yixiao Liu, Xiaoyu Li, Yi Shen, Liangwei Huang
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引用次数: 1

摘要

由于脉冲星距离地球较远,信号较弱,在地面上很难探测到脉冲星的辐射光子。因此,利用数学模型对信号进行模拟是最有效、最可行的信号生成方法。本文提出了一种基于蒙特卡罗的x射线脉冲星信号模拟方法,改进了概率统计方法,克服了非齐次泊松分布的约束。通过拟合脉冲星辐射流曲线得到概率密度函数,并通过数值比较选择生成的随机数满足概率密度要求。仿真结果表明,该方法采用了随机思维,可以通过简单的数值比较来解决复杂的问题。与泊松模型和高斯模型相比,该方法具有仿真时间短、效率高、精度高等优点。
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A simulation method for X-ray pulsar signal based on Monte Carlo
Since the pulsar is far away from the earth and the signal is weak, it is hard to detect the radiated photons of the pulsar on the ground. Thus the most effective and feasible method of signal generation is to use mathematical model to simulate it. In this paper, a signal simulated method for X-ray pulsar based on Monte Carlo is proposed, which improves the method of probability statistics and overcomes the constraint of non-homogeneous Poisson distribution. The probability density function can be obtained by fitting the pulsar radiation flow curve, and numerical comparison is used to select the generated random number to meet the requirements of probability density. The simulation results show that, the proposed method is utilized with a random thought, based on which the complex problem can be solved by simple numerical comparison. Compared with the Poisson based and Gauss based model, the proposed method has such advantages, including less simulation time, higher efficiency and greater precision.
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