基于Sallen-Key滤波器的数字高斯成形方法的仿真

Simulation of Digital Gaussian Filtering Based on Sallen-Key Filter

详细阐述了一种指数信号数字高斯成形技术的计算机仿真方法。首先,以Sallen-Key滤波器为基础,建立了指数输入信号和高斯输出信号之间的数学关系模型。该模型是一个二阶微分方程。其次,模型解算过程中利用数值微分算法得到一个数值递推解。通过计算机仿真该数值递推解实现了指数信号的数字高斯成形。最后,将成形模型应用于实际核脉冲信号分析系统中,通过计算机仿真确定了成形参数。

A novel simulating method of digital Gaussian filtering was proposed in details. Firstly, the mathematical relationship model between the input and the output was established based on Sallen-Key filter. And the model is a second-order differential equations. Secondly, a general numerical recursive root was obtained by applying numerical differentiation algorithm. And digital Gaussian filtering of standard index signal was implemented as well. Lastly, the filtering model was applied to the nuclear pulse signal analyzing system. And the filtering operators were confirmed by computer simulation.