首先,给出了对应于多重多分辨分析的双正交多小波包的定义,建立了具有任意矩阵伸缩的双正交多小波包的理论框架.在此基础上,给出了具有任意矩阵伸缩的高维不可分双正交多小波包的构造方法.由此构造的多小波包的分解系数可以从不同的滤波器中抽取,这使得小波包的应用更灵活.

-First of all, given that corresponds to multiple multi-resolution analysis of biorthogonal multiwavelets package definition, the establishment of an arbitrary matrix scalable biorthogonal multiwavelet packets theoretical fr a mework. On this basis, given an arbitrary matrix stretching high-dimensional nonseparable biorthogonal multiwavelet packets constructed. This structure of multi-wavelet packet decomposition coefficients can be from a different filter in the extraction, which makes the application of wavelet packet more flexible.