两通道滤波器组和离散序列的小波变换

Two Channel Filter Banks and Wavelet Transform of Discrete Sequences

多抽样率滤波器组理论和离散时间序列的小波变换有着密切关系。笔者从信号处理的角度研究了离散时间序列的小波变换利用树状滤波器组实现的方法,分析了两通道共轭正交镜象滤波器组理论及滤波器设计,离散时间序列的正交小波变换的快速实现以及正交小波的构造,指出了其内在联系,最后举例说明了正交小波变换通过共轭正交镜象滤波器组来实现信号分解和重构的全过程。

Multirate filter banks and wavelet transform are closely related theoretically and practically. This paper researches the wavelet transform of discrete-time sequences basing on dendriform filer banks in the signal processing field, analyses the theory and design method of two channel conjugate quadrature mirror filter banks and fast implement of discrete orthogonal wavelet transform and generation of orthogonal wavelets, and points out the internal relationship between them.