双向向量值小波包  

Two-direction Vector-valued Wavelet Packets

作　　者：库福立[1] 王刚[1] 库媛[2] 

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830054 [2]吉林大学材料科学与工程学院,吉林长春130000

出　　处：《山西师范大学学报（自然科学版）》2013年第3期21-27,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资助项目(XJEDU2009S67);新疆师范大学研究生创新基金资助项目(20121211)

摘　　要：本文以向量值小波的基本理论和概念为基础,给出整数伸缩的双向向量值正交小波与双向向量值小波包的概念,以及向量值尺度函数与小波函数正交条件和稳定条件,得到正交的双向向量值小波包,并得到双向向量值小波包的性质和结论.In this paper, based on the basic theory anA the concept of vector-valued wavelet, the integer di- lation of the definition for two-direction orthogonal vector-valued wavelets and two-direction vector-valued wavelet packets are introduced. The orthogonal vector-valued scaling function and wavelet function orthogonal conditions and stability conditions are also given. The properties related nature and conclusions of the two-direction orthogo- nal vector-valued wavelet packets are gotten.

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]