多带多重双向向量值小波包  

Multiple Vector-Valued Two-direciton M-band Wavelet Packets

作　　者：张桂霞 

机构地区：[1]三门峡市教师进修学校,河南三门峡472000

出　　处：《商丘职业技术学院学报》2017年第3期76-80,共5页JOURNAL OF SHANGQIU POLYTECHNIC

基　　金：国家自然科学基金项目"低秩张量恢复及应用"(61403298);陕西省自然科学基金项目"索伯列夫空间中小波框架的性质及其应用研究"(2015JM1024)

摘　　要：通过引进双向向量值多分辨分析与多带多重双向向量值小波包的概念.运用矩阵理论和时频分析方法,刻画了多带多重双向向量值小波包的性质,得到多带多重双向向量值小波包的正交公式,并且也得到了向量值函数空间L^2(R,R^3)的正交基.The notion for vector-valued two-direction multiresolution analysis and multiple vector-valued two-direction m- band wavelet packets are introduced. The properties for multiple vector-valued two-direction m-band wavelet packets are char- acterized by virtue of matrix theory and time-frequency analysis method. The orthogonal relationship formulae concerning the multiple vector-valued two-direction m-band wavelet packets are obtained. Moreover, orthogonal bases of L2 （R ,R3） are con- structed.

关 键 词：双向向量值多分辨分析 面具函数 向量值正交小波 双向向量值小波包 

分 类 号：O174.2[理学—数学]