4-进紧支撑双对称双正交多小波  

4-Bank Compactly Supported Bi-Symmetric Biorthonormal Wavelets Bases

作　　者：邹庆云[1] 陶庆云[1] 王真伟[1] 

机构地区：[1]湖南文理学院数学与计算科学学院,湖南常德415000

出　　处：《江西师范大学学报（自然科学版）》2009年第2期141-144,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10571049);湖南文理学院优秀青年项目(QNYX0813);湖南省科技计划资助项目

摘　　要：该文给出了一类具有双对称4-进双正交小波的构造方法,该小波类可以由它的低通滤波器确定,因此,其自由度可以运用到应用背景.构造具有较高消失矩的双对称双正交多小波族,为相关应用提供了大量选择.A class of four-bank bisymmetric biorthogonal wavelet bases has been constructed, in which any wavelet system can be determined by its low-pass filter. Thus, the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reversed for application requirement. Some concrete examples with high vanishing moments are also given. These wavelets can process the boundary conveniently, and enjoy the highly efficient computations in application.

关 键 词：4-进小波 双正交小波 正交性 图像压缩 

分 类 号：O174.2[理学—数学]