一种数字滤波器的设计方法及其应用  

A Design Method for Digital Filter and Its Applications

作　　者：刘正士[1] 王勇[1] 陈恩伟[1] 葛运建[2] 

机构地区：[1]合肥工业大学,合肥230009 [2]中国科学院合肥智能机械研究所,合肥23003

出　　处：《中国机械工程》2006年第1期88-91,共4页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(60175027);国家863高技术研究发展计划资助项目(2001AA337010)

摘　　要：提出一种数字滤波器的设计方法———基于双线性变换的零极点匹配法,给出零极点匹配法的构思、设计公式和设计步骤。与几种常用的数字滤波器设计方法的比较和设计实例表明,零极点匹配法结合了双线性变换法和匹配变换法的特点,既具有不产生频率混叠,自动补充零点,抑制高频成分的特点,又具有保持原模拟滤波器零极点经过变换后不会变动的特点。因此,零极点匹配法尤其适合于低通数字滤波器和补偿数字滤波器的设计。实例表明,应用零极点匹配法设计的补偿数字滤波器显著改善了传感器的动态性能。A new design method for digital filter-Pole-Zero Matched Method based on Bilinear Transformation was developed. The design idea and the steps of this method were presented. The method developed in the paper was compared with the widely used approaches for designing IIR DT filter, and the design examples show that the method is a combination of PW-BLT method and MZT method actually, and the PW-BLT method is a special case of this method. It remains the advantages of both two methods. The frequency aliasing can be avoided, the zeroes can be added automatically and the low-pass property of the analog filter can be preserved, and the expected position of poles and zeroes of the analog filter can be arrived at after transformation by using this method. Therefore, the method is very suitable for designing low-pass digital filter and digital compensation filter. A dynamic compensation filter used in wrist force sensor was designed using the method developed, which improved dynamic performance of the sensor efficiently.

关 键 词：数字滤波器 双线性变换 匹配Z变换法 预处理 

分 类 号：TP210.2[自动化与计算机技术—检测技术与自动化装置]