一类任意矩阵伸缩双向向量值小波包  

A Class of Two-direction Vector-valued Wavelet Packets with Arbitrary Matrix Dilation

作　　者：苏宇[1] 王刚[1] 库福立[1] 

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054

出　　处：《山西师范大学学报（自然科学版）》2014年第1期11-17,共7页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：新疆维吾尔自治区高校科研计划青年教师培育基金(XJEDU2009S67);新疆师范大学研究生创新基金资助(20121211)

摘　　要：本文给出了双向向量值多分辩分析和具有矩阵伸缩的高维双向向量值小波包,研究了高维双向向量值小波包的性质,得到了矩阵伸缩的双向向量值正交小波基.In this paper, the notion of vector valued wavelet concept, and introducing integer dilation are introduced , The definition for two-direction orthogonal vector-valued wavelets with two-dimensional vector-valued wavelet packets and the orthogonal vector-valued scaling function and wavelet function orthogonal conditions and stability conditions are given. The properties of the two-director vector vector-valuced wavelet packets are intestigated. At last, the direct decomposition relation for space is L^2（ R＇） presented.

关 键 词：整数伸缩 正交 多分辨分析 双向尺度函数 加细面具 向量值小波 

分 类 号：O174.2[理学—数学]