具有对称或反对称滤波器组的双正交平衡多小波  

Balanced biorthonormal multiwavelet with symmetric or antisymmetric filter banks

作　　者：邹庆云[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：《湖南文理学院学报（自然科学版）》2009年第1期14-16,共3页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：湖南文理学院优秀青年资助项目(QNYX0813)

摘　　要：通过对待定矩阵滤波器组的定义,构造了具有对称性,平衡性和高阶消失矩的双正交多小波.它的滤波器组具有有利于实际应用的对称性,其结构类似于标量小波,即可以用两支滤波器确定,所构造的多小波无疑是一类新型的多小波.A class of the balanced biorthonormal multiwavelets was constructed by defining a specific matrix filter structure, in which the multifitter banks of multiwavelets have had the desired symmetry. Here, the multifilter banks have possessed symmetric or anti-symmetric, which resembled filters of scalar wavelet in favor of application, so they have formed a type of biorthonormal multiwavclet undoubtedly.

关 键 词：多小波 正交性 对称性 图像压缩 

分 类 号：TN911.7[电子电信—通信与信息系统]