基于两种对称频率采样的全相位FIR滤波器设计

All-Phase FIR Filter Design Based on Two Kinds of Symmetric Frequency Sampling

该文提出基于两种对称频率采样的全相位FIR滤波器设计方法,证明了在无窗和单窗情况下,依据传统对称和偶对称的频率向量设计出的全相位传递曲线分别通过π/N的偶数倍和奇数倍的数字角频率点,因而全相位滤波器可较精确地控制边界频率。仿真实验证明,这两种类型的全相位滤波器性能优于神经网络方法设计出的滤波器。

This paper presents the all-phase filter design methods based on two kinds of symmetric frequency sampling. Under the condition of no window and single windows it is proved that the all-phase transfer curves designed by conventional symmetry frequency vector and even symmetry frequency vector can pass through the frequency sampling points of odd multiples and even multiples of π/N, respectively. In this way all-phase filter can control critical frequency to a relatively precise extent. Simulation experiment proves that the performances of these two kinds of all-phase filter are superior to that of filter designed by neural network methods.