一种满足功率互补特性的线性相位FIR滤波器  

A linear FIR filter satisfying power complementary property

作　　者：张昊[1] 师奕兵[1] 张伟[1] 

机构地区：[1]电子科技大学自动化工程学院,成都610054

出　　处：《电子测量与仪器学报》2009年第2期83-88,共6页Journal of Electronic Measurement and Instrumentation

基　　金：教育部新世纪优秀人才支持计划(编号:NCET-05-0804)项目资助

摘　　要：消除滤波器组的重构误差以实现完全重构一直是多抽样率滤波器组研究领域的一项重要课题。已有部分文献提出了分别消除幅度与相位误差行之有效的方法,然而这类方法都是在消除一种误差的基础上,使另一种误差最小化,并没有实现2种误差的完全消除。本文从功率互补性以及线性相位滤波器系数的特点出发,推导出既具有线性相位又满足功率互补性的分解滤波器组频率响应的表达式,根据频率响应表达式设计出了一种既满足线性相位又满足功率互补特性的FIR滤波器,实验表明采用该滤波器的多抽样率滤波器组具有良好的完全重构性。Recently the design of multirate digital filter banks is widely considered, and the performances of filter banks are directly depend on the reconstruction property of system. It is known some times that how phase or amplitude distortion can be completely eliminated. There are some representative methods such as power complementary filters and linear FIR filters. However, these methods only eliminate one kind of distortions completely and minimize the other as best as they can. Based on the characteristics of linear and power complementary filters, the limitations on frequency response are derived for the filters which satisfy both power complementary and linear phase characteristics. According to the analysis of frequency response expression, a kind of FIR filters which satisfy both linear and power complementary property is designed in the paper. The experiment validated the perfect reconstruction multi-rate digital filter banks which eliminates both phase and amplitude distortions.

关 键 词：功率互补滤波器 线性相位 FIR滤波器 完全重构 

分 类 号：TN911.72[电子电信—通信与信息系统]