多项式正交滤波器与共轭正交滤波器组

主要讨论了多项式正交滤波器和共轭正交滤波器组的构造方法，首先利用Riesz引理和特殊的余弦三角形多项式，给出了一种多项式正交滤波器的构造算法，该算法可以构造出一系列特性各异的紧支撑正交小波基；还给出了由一个矩阵CQFs派生多个新的矩阵CQFs的共轭正交滤波器组算法,包括由低阶矩阵CQFs构造高阶矩阵CQFs。

Orthogonal Polynomial Filter and Conjugate Quadrature Multifilter Banks

The approaches are presented for constructing orthogonal polynomial filter and matrix CQFs. Firstly, orthogonal polynomial filter is constructed by using Riesz lemma and especial cosine polynomial. By the approaches, a series of compactly supported orthogonal wavelets, which include Daubechies I wavelet, can be constructed. Secondly, the method for constructing new matrix CQFs from old matrix CQFs is obtained. Finally, the relationship between lower matrix CQFs and higher matrix CQFs is establised.