新型高阶Butterworth低通滤波器的设计与分析.pdfVIP

电 子 测 量 技 术 第3O卷 第l2期 ELECTRONIC MEASUREMENT TECHN0LOGY 2007年l2月 新型高阶Butterworth低通滤波器的设计与分析* 李钟慎 王永初 (华侨大学机电及自动化学院 泉州I 362021) 摘 要：针对传统Butterworth低通滤波器存在检测精度、稳定性和响应时间之间的矛盾问题，提出了一种新型高阶 Butterworth低通滤波器。首先将高阶Butterworth低通滤波器最靠近虚轴的主导极点与虚轴之间的夹角 指定为常 数，剩下的极点均匀地分布在复平面的Butterworth圆周上，从而设计出新型高阶Butterworth低通滤波器。最后对新 型高阶Butterworth低通滤波器进行分析，分析结果表明：新型高阶Butterworth低通滤波器的响应速度较快，超调量 较小，从而可以提高检测精度。 关键词：Butterworth低通滤波器；极点分布；Bode图；阶跃响应曲线；性能指标 中图分类号：TN713 文献标识码：A Design and analysis of new high order butterworth low pass filter Li Zhongshen Wang Yongchu (College of Mechanical Engineering l~Automation，Huaqiao University，Quanzhou 362021) Abstract：Aiming at the contradictory between test precision，stability and response time of Butterworth low pass filter， a new high order Butterworth low pass filter is put forth in this paper．Firstly designate the dominant poles near virtual axis of 1OW pass filter and the angle between them as constant，the rest poles are redistributed in the Butterworth complex plane circle，SO as to design a new high order Butterworth low pass filter。Through analyzing and testing， results shoW that：compared with the conventional Butterworth 1OW pass filter of the same order，the new filter has rapider response，smaller overshoot．This kind of filter can be used tO enhance the test precision． Keywords：Butterworth low pass filter~poles distributing Bode diagram~step response curve~performance index 各个极点均匀分布在复平面的Butterworth圆周上 ，相 0 引 言 邻两个极点之间的相位差为180。／n，最靠近虚轴的极点与 在传感器获得的测量信号中，往往含有许多与被测量 虚轴之间的夹角 一180。／2n，图1分别