具有矩阵伸缩的高维正交周期小波包

摘要

推广正交周期小波包的概念,引入对应于高维正交周期尺度函数的小波包,给出具有任意矩阵伸缩的高维不可分正交周期小波包的构造方法,并对其性质进行研究,得到高维正交周期小波包的分解公式及其Fourier变换表示,最后给出三元正交周期小波包的例子.%It generalized the notion of orthogonal periodic wavelet packets to multivariate orthogonal periodic wavelet packets with dilation matrix, and then investigated its properties. The decomposition algorithm and frequency domain description for orthogonal periodic wavelet packets were obtained. Finally, an example with trivariate orthogonal periodic wavelet packets was also given.