用余弦调制PR－FIR方法构造正交小波基

Design of Wavelet Orthonormal Bases with Cosine-Modulation PR-FIR Banks

离散小波变换将离散时间信号分解为一系列不同分辨率下的离散近似信号和离散细节，紧支的正交规范小波与完全重构正交镜象滤波器（ＰＲ－ＱＭＦ）相对应。本文在“二带”正交小波基的构造条件下，利用余弦调制完全重构滤波器组的方法，实现了正交小波基的构造，计算模拟表明该方法非常简单、有效。

The discrete wavelet transform decompose a discrete time signal into an approsimation sequence and a detail sequece at eachlevel of resolution and the compactly suported orthonormal wavelets correspond to perfect reconstruction (PR) quadrature mirror filter(QMF) banks.This paper deals with the problem of choosing Orthogonal wavelet filter for best signal approsimation at some scale. underthe conditions of making orthonormal wavelet, we use the method of cosinemodulation perfect reconstruction FIR filter banks to design or thogonal wavelet. Results show that the method of cosine-modulated orthogonal wavelet is very simple and reliable.