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| 一类向量值正交小波的设计与性质 | |
| 引用本文： | 于育民,吕保献,程正兴.一类向量值正交小波的设计与性质[J].数学的实践与认识,2011,41(8). |
| 作者姓名： | 于育民 吕保献 程正兴 |
| 作者单位： | 1. 南阳理工学院应用数学系,河南南阳,473004 2. 河南工业职业技术学院基础课教学部,河南南阳,473009 3. 西安交通大学理学院,陕西西安,710049 |
| 摘 要： | 引入整数因子伸缩的向量值正交小波与向量值小波包的概念.运用仿酉向量滤波器理论和矩阵理论,给出具有整数因子伸缩的向量值正交小波存在的充要条件.提供了紧支撑向量值正交的构建算法,给出了相应的构建算例.利用时频分析方法与算子理论,刻画了一类向量值正交小波包的性质,得到了整数伸缩的向量值小波包的正交公式. |
| 关 键 词： | 向量值小波 向量值尺度函数 时频分析方法 迭代算法 向量值小波包 小波包基 |
Designment and Characters of a Sort of Orthogonal Vector-Valued Poly-Scaled Wavelets |
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| YU Yu-min,LV Bao-xian,CHENG Zheng-xing.Designment and Characters of a Sort of Orthogonal Vector-Valued Poly-Scaled Wavelets[J].Mathematics in Practice and Theory,2011,41(8). | |
| Authors: | YU Yu-min LV Bao-xian CHENG Zheng-xing |
| Institution: | YU Yu-min~1,LV Bao-xian~2,CHENG Zheng-xing~3 (1.Department of Applied Mathematics,Nanyang Institute of Technology,Nanyang 473004,China) (2.Department of Fundamentals,Henan Polytechnic Institute,Nanyang,473009,China) (3.Department of Xi'an Jiaotong University,Xi'an 710049,China) |
| Abstract: | The notion of orthogonal vector-valued wavelets with poly-scale is introduced.A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets with poly-scale is derived by vietue of paraunitary vector filter ban k theory and matrix theory. One constructive examples on vector-valued wavelets are presented.The concept of orthogonal multi-scaled vector-valued wavelet packets is introduced.Their properties are characterized, and two rthogonality formulas concerning the wavelet packets... |
| Keywords: | vector-valued wavelets vector-valued scaling functions time-frequency analysis method iterative algorithm vector-valued wavelets packets wavelets packet bases |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |