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设计数字式巴特沃兹滤波器的新方法
引用本文:杨汉生,李明,杨成梧,刘丽.设计数字式巴特沃兹滤波器的新方法[J].电测与仪表,2006,43(4):37-38,7.
作者姓名:杨汉生  李明  杨成梧  刘丽
作者单位:1. 南京理工大学,动力学院,南京,210094;巢湖学院,安徽,巢湖,238000
2. 南京理工大学,动力学院,南京,210094
3. 巢湖学院,安徽,巢湖,238000
摘    要:设计数字式巴特沃斯滤波器的传统方法是先设计好相应的模拟滤波器,再经过双线性变换得到数字式巴特沃斯滤波器,因此必须依赖于模拟滤波器,同时无法得到零极点数量不相等的滤波器。本文采用通用公式设计数字式巴特沃斯滤波器,并和采用传统设计的方法相比较,两者的结果是相一致的,同时还设计出零极点数量不相等的滤波器。理论和数据表明该方法优于传统的数字式巴特沃兹滤波器设计方法。

关 键 词:巴特沃斯  滤波器  双线性变换  零极点
文章编号:1001-1390(2006)04-0037-02
收稿时间:2005-11-12
修稿时间:2005-11-12

A Design for the Digital Butterworth Filter
YANG Han-sheng,LI Ming,YANG Chen-wu,LIU Li.A Design for the Digital Butterworth Filter[J].Electrical Measurement & Instrumentation,2006,43(4):37-38,7.
Authors:YANG Han-sheng  LI Ming  YANG Chen-wu  LIU Li
Affiliation:1.Power College, Nanjing Science and Technology University, Nanjing 210094 , China; 2.Chaohu College, Chaohu 238000, Anhui, China
Abstract:The classical method for the digital Butterworth filter design is to work out corresponding analog filter first, then obtain the digital Butterworth filter from the bilinear transform, therefore the traditional method relies on the analog filter, and cannot obtain the zeros-poles plot equal filter. This paper introduces the general formula to design the digital Butterworth filters without the help of the analog filter, and the resuits are consistent after comparing with the traditional method, also designs the zerospoles plot equal filter. The theory and the data show this method is better than the traditional design method for the digital Butterworth filter.
Keywords:Butterworth  filter  bilinear transform  zeros-poles plot
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