A new digital Gaussian pulse shaping algorithm based on bilinear transformation  

作　　者：葛青 葛良全 袁红文 李傲梅 

机构地区：[1]The College of Nuclear Technology and Automation Engineering,Chengdu University of Technology [2]Institute of Plasma Physics, Chinese Academy of Sciences

出　　处：《Nuclear Science and Techniques》2015年第1期33-37,共5页核技术（英文）

基　　金：Supported by National High Technology Research and Development Program of China(No.2012AA061803);Higher Education and Teaching Reform Project of Chendu University of Technology(No.13JGY25)

摘　　要：Nuclear pulse signal needs to be transformed to a suitable pulse shape to remove noise and improve energy resolution of a nuclear spectrometry system. In this paper, a new digital Gaussian shaping method is proposed.According to Sallen-Key analog Gaussian shaping filter circuits, the system function of Sallen-Key analog Gaussian shaping filter is deduced on the basis of Kirchhoff laws. The system function of the digital Gaussian shaping filter based on bilinear transformation is deduced too. The expression of unit impulse response of the digital Gaussian shaping filter is obtained by inverse z-transform. The response of digital Gaussian shaping filter is deduced from convolution sum of the unit impulse response and the digital nuclear pulse signal. The simulation and experimental results show that the digital nuclear pulse has been transformed to a pulse with a pseudo-Gaussian, which confirms the feasibility of the new digital Gaussian pulse shaping algorithm based on bilinear transformation.Nuclear pulse signal needs to be transformed to a suitable pulse shape to remove noise and improve energy resolution of a nuclear spectrometry system. In this paper, a new digital Gaussian shaping method is proposed. According to Sallen-Key analog Gaussian shaping filter circuits, the system function of Sallen-Key analog Gaussian shaping filter is deduced on the basis of Kirchhoff laws. The system function of the digital Gaussian shaping filter based on bilinear transformation is deduced too. The expression of unit impulse response of the digital Gaussian shaping filter is obtained by inverse z-transform. The response of digital Gaussian shaping filter is deduced from convolution sum of the unit impulse response and the digital nuclear pulse signal. The simulation and experimental results show that the digital nuclear pulse has been transformed to a pulse with a pseudo-Gaussian, which confirms the feasibility of the new digital Gaussian pulse shaping algorithm based on bilinear transformation.

关 键 词：双线性变换 脉冲整形 高斯 算法 整形滤波器 滤波器电路 基尔霍夫定律 脉冲信号 

分 类 号：TL822[核科学技术—核技术及应用]