高性能的9/7小波滤波器组设计  

Design of 9/7 biorthogonal wavelet filter banks with high performance

作　　者：李珊珊[1] 康志伟[1] 何怡刚[2] 

机构地区：[1]湖南大学计算机与通信学院,湖南长沙410082 [2]湖南大学电气与信息工程学院,湖南长沙410082

出　　处：《计算机工程与设计》2007年第10期2361-2363,共3页Computer Engineering and Design

基　　金：国家自然科学基金项目(50277010)

摘　　要：提出了一种二进制系数的9/7双正交小波滤波器组。首先对小波滤波器组的完全重构条件和双正交条件进行三角基函数变换和因式分解,然后对求出的小波滤波器系数进行优化设计,从而得到一组滤波器系数都为二进制分数的9/7双正交小波滤波器组,其离散小波变换只需采用简单的“移位—加”即可。理论分析和实验表明:改进的9/7小波滤波器组具有与CDF9/7小波滤波器组相近的性能,同时大大降低了离散小波变换的算法复杂度。因此,非常适用于大规模集成电路的实现。An improved technique to construct the 9/7 biorthogonal wavelet filter banks with high performance and low complexity is presented. First, the trigonometric function transform is used to factorize the perfect restruction and the biorthogonal conditions of biorthogonal wavelets filter banks. Then the coefficients of the original 9/7 wavelet filter banks is optimized, consequently a novel 9/7 wavelet filter banks with binary digit coefficients is obtained. The improved 9/7 wavelet filter banks has the advantage that its discrete wavelet transform （DWT） is realized by the shift-add operation, which benefits highly efficient implementation of DWT via very large scale integration （VLSI）. The theory and the experimentation show that the coding gain and compression performance of the improved 9/7 wavelet filter banks approximate CDF9/7 wavelet filter banks and the complexity reduce greatly.

关 键 词：9/7双正交小波 三角基函数 二进制分数 离散小波变换 大规模集成电路 

分 类 号：TN911.73[电子电信—通信与信息系统]