多尺度双向矩阵值小波的性质
The Properties of Multiscale Two-Directional Matrix-Valued Wavelets

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 multiscale two-directional matrix-valued wavelets are studied by using matrix theory and time-frequency method.Firstly,the concept of orthogonalmultiscale two-directional matrix-valued wavelets is introduced.Secondly,a constructivealgorithm formultiscale two-directional matrix-valued wavelets is presented.Finally,a class of multiscale two-directionalmatrix-valued wavelet packets are characterized