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.
出处
《湖北大学学报（自然科学版）》
CAS
2012年第2期222-225,234,共5页
Journal of Hubei University：Natural Science
基金
重庆市教委科学技术研究项目(重教[KJ111213])资助
关键词
周期小波包
矩阵伸缩
分解公式
频域表示
periodic wavelet packets
dilation matrix
decomposition algorithm
frequency domain description
