摘要
运用矩阵理论和时频分析方法研究多尺度双向矩阵值小波的性质.首先引进了多尺度双向矩阵值正交小波的概念,然后提供了短支撑多尺度双向矩阵值正交小波的构造算法,最后刻画一类多尺度双向矩阵值正交小波包的特征.
Properties of muhiscale two-directional matrix-valued wavelets are studied by using matrix theory and time-frequency method. Firstly, the concept of orthogonalmuhiscale two-directional matrix-valued wavelets is intro- duced. Secondly, a eonstructivealgorithm formultiseale two-directional matrix-valued wavelets is presented. Finally, a class of muhiscale two-directionalmatrix-valued wavelet packets are characterized.
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2013年第6期628-632,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
2012年河南省基础与前沿技术研究(122300410061)资助项目
关键词
双向矩阵值尺度函数
正向面具函数
负向面具函数
双向矩阵值小波
矩阵值小波变换
双向矩
阵值小波包
matrix-valued scaling functions
positive mask function
negative mask function
two-directional matrix- valued wavelets
matrix-valued wavelet transform
two-directional matrix-valued wavelet packets