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脉冲轮廓是脉冲星的一个重要物理特性,是脉冲星导航的关键观测量。为深入研究脉冲轮廓的理论特性,建立了脉冲星的标准脉冲轮廓数学模型与观察脉冲轮廓数学模型,用指数函数拟合了蟹状星云脉冲轮廓的轮廓函数,并以此为基础模拟了蟹状星云的标准脉冲轮廓。通过模拟非齐次泊松随机打靶实验获得了光子到达时间的仿真测量值,模拟了蟹状星云的观察脉冲轮廓,仿真结果表明该模型能很好地描述巡天观测的脉冲轮廓。对含噪声的脉冲轮廓进行小波阈值去噪,通过数值分析,认为GCV阈值去噪方法对观测脉冲轮廓有很好的去噪效果。
Pulse profile is an important physical property of pulsar and is the key observation of pulsar navigation. In order to further study the theoretical characteristics of pulse profile, a mathematical model of pulsar standard pulse profile and a mathematical model of pulse profile were established. By using exponential function, the contour function of pulse profile of Crab nebula was simulated. Based on this, Nebula standard pulse outline. Simulation results of photon arrival time were obtained by simulating nonhomogeneous Poisson random target experiments. The observed pulse profiles of Crab nebula were simulated. The simulation results show that the model can well describe the pulse profile of surveying and sighting. Wavelet threshold denoising is carried out on impulsive contours with noises. By means of numerical analysis, GCV threshold denoising method is considered to have a good denoising effect on observed impulse contours.