全相位FIR滤波器族

Family of All-phase FIR Filter

本文构建了一套完整的包含四种类型FIR滤波器的设计体系—全相位FIR滤波器族.在该体系中,对由原频率采样法的系数向量h进行定义域延拓即形成多个子滤波器,将各子滤波系数对齐标号n排列起来即可形成循环移位阵,再将循环移位阵中各子滤波系数求和平均后即可得最终的FIR系数。理论和仿真实验均证明了全相位FIR滤波器族良好的频率特性,并且4种类型的全相位FIR系数的生成都具有简化设计步骤,无需迭代过程,从而本文提出的设计体系具有较大的应用前景.

This paper constructs one filter design system which covers 4 types of FIR filters--family of all-phase FIR filter. In this system, the defining range of coefficient vector generated from original frequency sampling method is extended that multiple sub-filters are constructed. Then coefficients of these sub filters are arrayed with the index‘ n＇ aligned that several cycle shift arrays can be formed. And the ultimate FIR coefficients can be acquired just by simply adding and averaging the coefficients in cycle shift arrays. Both theoretic deduction and simulation prove the excellent frequency characteristics of family of all-phase FIR filter. Moreover,4 types of all- phase FIR coefficients can be formed by several simplified steps without any iterative operations, which gives the proposed design system a long-term applying perspective.