高维不可分双正交多小波包  

Nonseparable Biorthogonal Multiwavelet Packetsod in Higher Dimensions

作　　者：黄永东[1] 朱凤娟[2] 高岳林[1] 

机构地区：[1]西北第二民族学院信息与计算科学系,宁夏银川750021 [2]西北第二民族学院基础部,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》2006年第1期6-9,12,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：国家民委重点科研基金资助项目;西北第二民族学院科研基金资助项目(2002Y023)

摘　　要：首先,给出了对应于多重多分辨分析的双正交多小波包的定义,建立了具有任意矩阵伸缩的双正交多小波包的理论框架.在此基础上,给出了具有任意矩阵伸缩的高维不可分双正交多小波包的构造方法.由此构造的多小波包的分解系数可以从不同的滤波器中抽取,这使得小波包的应用更灵活.In this paper,we introduced the definition of biorthogonal multivariate multiwavelet packet,which associated with multiple multiresolution analysis, and developed the theory framework of multivariate multiwavelet packet. A approach of construction of nonseparable biorthogonal multiwavelet packet associated with arbitrary dilation matrix was given. The cofficient could be get from vary filter bank which was made by the construction of wavelet base much flexible.

关 键 词：多重尺度函数 双正交 伸缩矩阵 高维多小波包 不可分 

分 类 号：O174.2[理学—数学]