伪正交镜像滤波器组的单参数优化设计

Design of Pseudo QMF Banks Using a Single Parameter Optimization

摘要: 本文提出了一个基于特征滤波器的伪正交镜像滤波器组的设计方法。在该方法中，仅仅需要调整原型滤波器的通带边缘频率就可得到伪正交镜像滤波器组。原型滤波器是通过特征滤波器法设计的，原型滤波器的系数向量是通过求解一个实对称矩阵的最小特征值对应的特征向量得到的。由于无需求解全部的特征向量，因而具有较高的计算效率。设计实例表明，采用本文方法可以获得高阻带衰减的伪正交镜像滤波器组。

Abstract: This paper presents an eigenfilter based design method of Pseudo QMF Banks. Only the passband edge frequency of the prototype filter of the Pseudo QMF Banks is adjusted in the optimization. The prototype filter is designed using the eigenfilter method. The coefficient vector of the prototype filter is obtained by the eignvector corresponding to the minimum eigenvalue of a real symmetric matrix. This method is efficient since only a single eigenvector is required. A design example is presented to show that Pseudo QMF Banks with high stopband attenuation can be obtained with this method.