借助Z变换和零极点设计数字陷波器

Design of digital trap by Z-transform and pole-zero plot

滤波器的设计,实质上是数学逼近理论的应用.通过计算让物理可实现的实际滤波器频率特性逼近理想的或给定的频率特性,以达到去除干扰提取有用信号的目的.借助Z变换和零极点来设计滤波器就是利用离散时间系统中Z变换和对该系统中零点和极点的分析来设计滤波器.借助Z变换和零极点对滤波器频率特性的分析,设计了一个实际的数字陷波器并用MATLAB语言进行了仿真实现.

Design of the filter is essentially application of approximation theory.Computation can be used to make the actual filter properties as near as possible to be desired or given ones so as to eliminate the interference in acquiring signal.This paper,by Z-transform and pole-zero plot,analysed and applied filter frequency characteristics in discrete-tiome system and designed a digital trap with MATLAB.