脉冲轮廓建模仿真与去噪

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。

On modeling and denoising of X-ray pulsars profile

The pulsar profile, which is the key measurements of the pulsar navigation, is an important physical property of the pulsar. For in-depth study of the theoretical properties of the pulsar profile, the mathematical models of the standard pulsar profile and of the observed pulsar profile are established in the article. The Crab Nebula profile function is fitted using the exponential function. And the crab nebula standard pulsar profile is simulated using the profile function. Through the simulation of non-homogeneous Poisson random shooting experiment, the value of the photons TOA (time of arrival) is obtained, and the observed pulsar profile of the Crab Nebula is simulated. The simulation results show that the model can well describe the pulsar profile of the sky survey. The observed pulsar profile is decomposed using wavelet. And the observed pulsar profile which is comprised of the profile and noise is denoised based on wavelet threshold denoising method. Compared with the all kinds of wavelet thresholding denoising method, through the numerical analysis, the GCV have a good denoising effect for the observed pulsar profiles.