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广义的正交小波包
引用本文:杨守志,杨建伟,王黎三.广义的正交小波包[J].信阳师范学院学报(自然科学版),2001,14(2):144-147.
作者姓名:杨守志  杨建伟  王黎三
作者单位:1. 信阳师范学院,数学系,河南,信阳,464000
2. 西安交通大学,理学院,陕西,西安,710049
3. 信阳市平桥区五里镇二中,河南,信阳,464717
基金项目:Supported by the Natural Science Foundation of Henan Province (98110015)
摘    要:COIFMANT和MEYER在1]中引入了正交小波包的概念,它是为了进一步分解小波的分量。本文在此基础上引入了广义小波包的概念并给出相应的分解与重构算法。它推广了文1]的结果,且这种小波包比传统的正交小波包在应用上具有较大的灵活性。

关 键 词:多分辨分析  正交波包  小波分析  广义小波包
文章编号:1003-0972(2001)02-0144-04

Construction of generalized orthonormal wavelet packets
YANG Shou zhi ,YANG Jian wei ,WANG Li shan.Construction of generalized orthonormal wavelet packets[J].Journal of Xinyang Teachers College(Natural Science Edition),2001,14(2):144-147.
Authors:YANG Shou zhi  YANG Jian wei  WANG Li shan
Institution:YANG Shou zhi 1,YANG Jian wei 2,WANG Li shan 3
Abstract:Orthonormal wavelet packets, which was introduced by Coifman and Meyer in1], are used to furture decompose wavelet components. In this paper, generalized orthonormal wavelet packets are constructed. The corresponding decomposition and reconstruction algorithms for implementation are also given. The generalized orthonormal wavelet packets we give are more flexible than the wavelet packets in 1].
Keywords:multiresolution analysis  wavelet  orthonormal wavelet packets  general orthonormal wavelet packets
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