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| 关于向量值双正交小波的构造算法 | |
| 引用本文： | 陈清江,胡松瀛,程正兴.关于向量值双正交小波的构造算法[J].兰州理工大学学报,2009,35(1). |
| 作者姓名： | 陈清江 胡松瀛 程正兴 |
| 作者单位： | 1. 西安建筑科技大学,理学院,陕西,西安,710055;西安交通大学,理学院,陕西,西安,710049 2. 商丘职业技术学院,机电工程系,河南,商丘,476000 3. 西安交通大学,理学院,陕西,西安,710049 |
| 基金项目： | 国家自然科学基金，陕西省教育厅专项基金 |
| 摘 要： | 引进向量值双正交小波的概念.给出向量值双正交小波存在的条件.利用多分辨分析与时频分析理论,给出一类紧支撑向量值双正交小波的构造算法. |
| 关 键 词： | 双正交 向量值多分辨分析 向量值小波 加细方程 Riesz基 |
An algorithm for construction of biorthogonal vector-valued wavelets |
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| CHEN Qing-jiang,HU Song-ying,CHENG Zheng-xing.An algorithm for construction of biorthogonal vector-valued wavelets[J].Journal of Lanzhou University of Technology,2009,35(1). | |
| Authors: | CHEN Qing-jiang HU Song-ying CHENG Zheng-xing |
| Institution: | 1.School of Science;Xi'an University of Architecture and Technology;Xi'an 710055;China;2.Department of Machine and Electricity Engineering;Shangqiu Vocational and Technical College;Shangqiu 476000;3.School of Science;Xi'an Jiaotong University;Xi'an 710049;China |
| Abstract: | The concept of biorthogonal vector-valued wavelet were introduced.A necessary condition for the existence of biorthogonal vector-valued wavelets was given.An algorithm for constructing a class of compactly supported biorthogonal vector-valued wavelets was proposed by using multiresolution analysis and theory. |
| Keywords: | biorthogonality vector-valued multiresolution analysis vector-valued wavelets refinement equation Riesz basis |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |