紧支撑等偶长度双正交小波滤波器组设计

摘要

提出了一类特殊的双正交小波滤波器组,即等偶长度双正交小波滤波器组;推导其设计公式,给出详细的设计步骤,分析这类小波的特殊性质,给出了等偶Bior 5.3滤波器组的设计实例.将这一类滤波器运用到图像的边缘检测中,表现出了优异的边缘检测性能.%This paper presents a new class of biorthogonal wavelet filter banks, named equal-even length biorthogonal wavelet filter banks. Based on formula deduced, detailed designing steps and special characteristics are studied. It also gives the design for equal-even length Bior 5.3 as an example. The paper applies this kind of wavelet into image edge detection, and shows that the proposed wavelets have better performance in edge detection.