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应用科学学报 ›› 1998, Vol. 16 ›› Issue (2): 133-139.

• 论文 • 上一篇    下一篇

一种数字式带通滤波器的级联设计法

万旺根, 余小清   

  1. 上海大学
  • 收稿日期:1996-12-08 修回日期:1997-06-22 出版日期:1998-06-30 发布日期:1998-06-30
  • 作者简介:万旺根:副教授,上海大学通信与信息工程学院,上海 200072
  • 基金资助:
    上海市启明星计划,上海市教委及国家自然科学基金

A Cascade Design of Digital Bandpass Filter

WAN WANGGEN, YU XIAOQING   

  1. Shanghai University, Shanghai 200072
  • Received:1996-12-08 Revised:1997-06-22 Online:1998-06-30 Published:1998-06-30

PDF

104

被引次数

1

摘要： 以一模拟带通滤波器为基础,通过双线性变换获得了一种ⅡR数字带通滤波器,导出了该滤波器系数与其中心频率及带宽的数学关系式.以此滤波器为原型滤波器,文中给出了一种IR数字带通滤波器的级联设计法.根据设计指标,可用文中给出的设计公式求出IR级联数字带通滤波器中原型滤波器的级数和带宽,从而最终确定IR级联数字带通滤波器.该滤波器具有系数少、结构简单、设计快等优点,很适合于数字带通滤波器的DSP实现.

关键词: IIR数字带通滤波器, 级联, 原型滤波器, 双线性变换

Abstract: A prototype ⅡR digital bandpass filter is derived from an analogous bandpass filter by using bilinear transformation. The formulas relating the digital bandpass filter's coefficients with its center frequency and bandwidth are obtained. Using N sections of such digital bandpass filter, a cascade ⅡR digital bandpass filter is constructed. Based on the specifications and the formulas given, the parameter N and bandwidth of prototype ⅡR digital bandpass filter can be obtained, and the unknown cascade ⅡR digital bandpass filter can be finally determined. The filter has few coefficients and a simple structure and it is easy to be designed. It is especially suitable for its implementations when using DSP.

Key words: prototype filter, bilinear transformation, cascade, IIR digital bandpass filter