基于Matlab的巴特沃斯滤波器设计

摘要

为了得到较纯净的真实信号,对巴特沃斯模拟滤波器的幅频特性、设计方法及设计步骤进行了研究,利用Matlab程序,设计了巴特沃斯模拟滤波器,给出了Matlab设计程序,并分析了巴特沃斯模拟滤波器的幅频特性.利用Matlab程序绘制了巴特沃斯模拟滤波器的幅频特性曲线,并利用Matlab实现了模拟滤波器原型到模拟低通、高通、带通、带阻滤波器的转换.由模拟滤波器原型设计模拟高通滤波器的实例说明了滤波器频率转换效果.%The paper described the amplitude-frequency characteristics, the design method and procedure of Butterworth analog filter to obtain real signal. Butterworth analog filter was designed based on Matlab. The paper presented the design procedure of the filter based on Matlab and analyzed the amplitude-frequency characteristics of Butterworth analog filter. Matlab program was used to draw the amplitude-frequency characteristic curve of Butterworth analog filter and realize the conversion from analog filter prototype to analog low-pass, high-pass, band-pass and band-stop filter. Through the design of analog filter prototype, high-pass filter simulation shows the effects of frequency conversion.