双正交小波的谱半径及其应用  

The Spectral Radius of Bi-Orthogonal Wavelets and Its Application

作　　者：王国秋[1] 杨梦云[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,中国长沙410081

出　　处：《湖南师范大学自然科学学报》2011年第1期14-18,共5页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10871065)

摘　　要：通过对双正交小波变换的误差分析,为双正交小波定义了谱半径这一新概念,并用它来衡量双正交小波的正交程度,提出了一个基于最小化谱半径的双正交小波类,并设计出了满足谱半径要求的具有偶数长滤波器的优秀双正交小波.研究表明,所设计的小波的图像压缩编码能力已超过了著名的9-7型小波.By the error analyses of transform of bi-orthogonal wavelets,a new concept of spectral radius is defined to measure the orthogonal degree for bi-orthogonal wavelets.A class of bi-orthogonal wavelets is put forward based on the model of minimizing spectral radius,and the excellent bi-orthogonal wavelet with the filters of even length is designed.Investigation has shown that the new bi-orthogonal wavelet designed performs better than the famous 9-7 wavelet on the ability of compression coding.

关 键 词：谱半径 双正交小波 图像编码 偶数长滤波器 

分 类 号：O174.2[理学—数学]