摘要
文章以双向向量值小波的基本理论和概念为基础,给出了r重双向多尺度向量值多分辨分析和双向向量值子空间的概念,以及向量值函数系列可构成子空间Vj的一组Riesz基的条件,并给出了双向多尺度双正交向量值小波和小波包的构造方法相关的一些性质和结论。
In this paper,based on the basic theory and the concept of vector-valued wavelet, the r multiplicitymulti-scale vector-valued multi-resolution analysis and subspace of vector valued concepts are introduced.The pa-per also shows the condition of a series of Riesz basic of sub-space Vjthat can be composed by vector-valued func-tions. In addition, it gives some properties and conclusions related to the construction method of two-direction multi-scale bi-orthogonal vector-valued wavelets and wavelet packet.
出处
《新疆师范大学学报（自然科学版）》
2015年第2期46-52,共7页
Journal of Xinjiang Normal University(Natural Sciences Edition)
关键词
双正交
多分辨分析
双向向量值小波
Biorthogonal
Multi-resolution analysis
Two-direction vector-valued wavelets
