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| A Class of Bidimensional FMRA Wavelet Frames | |
| 引用本文： | Yun Zhang LI. A Class of Bidimensional FMRA Wavelet Frames[J]. 数学学报(英文版), 2006, 22(4): 1051-1062. DOI: 10.1007/s10114-005-0653-y |
| 作者姓名： | Yun Zhang LI |
| 作者单位： | Department of Applied Mathematics, Beijing University of Technology, Beijing 100022, P. R. China |
| 基金项目： | Supported by Excellent Talent Training Foundation of Beijing （20051D0501522） |
| 摘 要： | This paper addresses the construction of wavelet frame from a frame multiresolution analysis （FMRA） associated with a dilation matrix of determinant ±2. The dilation matrices of determinant ±2 can be classified as six classes according to integral similarity. In this paper, for four classes of them, the construction of wavelet frame from an FMRA is obtained, and, as examples, Shannon type wavelet frames are constructed, which have an independent value for their optimality in some sense. |
| 关 键 词： | FMRA小波框架 积分相似性 多分辨率分析 膨胀矩阵 |
| 收稿时间： | 2003-11-25 |
| 修稿时间： | 2003-11-252004-06-04 |
A Class of Bidimensional FMRA Wavelet Frames |
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| Yun Zhang Li. A Class of Bidimensional FMRA Wavelet Frames[J]. Acta Mathematica Sinica(English Series), 2006, 22(4): 1051-1062. DOI: 10.1007/s10114-005-0653-y | |
| Authors: | Yun Zhang Li |
| Affiliation: | (1) Department of Applied Mathematics, Beijing University of Technology, Beijing 100022, P. R. China |
| Abstract: | This paper addresses the construction of wavelet frame from a frame multiresolution analysis (FMRA) associated with a dilation matrix of determinant ±2. The dilation matrices of determinant ±2 can be classified as six classes according to integral similarity. In this paper, for four classes of them, the construction of wavelet frame from an FMRA is obtained, and, as examples, Shannon type wavelet frames are constructed, which have an independent value for their optimality in some sense. Supported by Excellent Talent Training Foundation of Beijing (20051D0501522) |
| Keywords: | FMRA FMRA wavelet frame integral similarity |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |