摘要
引入正交周期小波包的概念,并对周期小波包的性质进行研究,得到周期小波包的分解公式及其Fourier变换表示.结论表明,对周期小波空间,可以对其进行子空间正交直和分解.这种分解与实直线上的单小波不同,其分解次数受到小波空间维数的约束.对正交周期小波空间来说,可以进行最多j次分解,分解为2j个一维小波子空间的正交直和.
The notion of orthogonal periodic wavelet packets was introduced,and its property was investigated.The decomposition algorithm and Fourier transformation for orthogonal periodic wavelet packets were obtained.It showed that one could decompose a periodic wavelet space through orthogonal direct sum different from wavelet in real line.The times of decomposition were restricted by dimension of wavelet space.For orthogonal periodic wavelet space,one could decompose it at most j times to direct sum of 2j wavelet subspace with 1 dimension.
出处
《湖北大学学报（自然科学版）》
CAS
北大核心
2011年第1期22-25,40,共5页
Journal of Hubei University：Natural Science
基金
重庆市教委科学技术研究基金(KJ051203)资助
关键词
周期小波包
性质
分解
维数
periodic wavelet packets
property
decomposition
dimension
