数字多频陷波滤波器的改进设计方法

Improved approach for digital multiple notch filter design

数字多频陷波滤波器主要用于消除数字信号中包含的多个频率分量.针对经典设计方法存在的局限性,提出了数字多频陷波滤波器的改进设计方法,即充分利用陷波滤波器的幅度响应和全通滤波器的相位响应的映射关系,将陷波滤波器设计问题转化为全通滤波器的设计问题.详细论述了改进设计方法的基本原理和实现过程,仿真验证结果表明所提出的设计方法有很好的稳定性和有效性.

A digital multiple notch filter was mainly used to remove sinusoidal interferences contained in a digital signal. To remove the shortcomings in the classic methods, an improved design approach about the filter was presented. It made use of the mapping relationship between the amplitude response of a notch filter and the phase response of an all-pass filter. It converted the design problem of the notch filter to that of the allpass filter. The basic principle and design process of the proposed method were discussed in detail. The stability and effectiveness of the presented approach were validated by a series of simulation experiments.