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.
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)
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
integer dilation
orthogonal
multiresolution analysis
two-direction scaling function
refine mask, vector-valued wavelets packets
