矩阵值小波包的分解与重构算法

Decomposition and Reconstruction Algorithms of Orthonormal Matrix-Valued Wavelet Packets

对矩阵值函数空间L2(R,cs×s)的正交分解进行了更深一层的研究,得到了矩阵值正交小波包的一些性质,给出了L2(R,cs×s)的一组新的正交基,弥补了有关文献的不足.最后,给出了利用矩阵值小波包来进行分解与重构的一般公式.

In this paper, the orthonormal decomposition of L^2(R,c^(s×s)) is studied further. And we go through the properties of orthonormal matrix-valued wavelet packets. A new orthonormal basis for L^2(R,c^(s×s)) is given. Furthermore, the corresponding decomposition and reconstruction algorithms of orthonormal matrix-valued wavelet packets are presented.