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| BIVARIATE REAL-VALUED ORTHOGONAL PERIODIC WAVELETS | |
| 引用本文： | Qiang Li Xuezhang Liang. BIVARIATE REAL-VALUED ORTHOGONAL PERIODIC WAVELETS[J]. 分析论及其应用, 2005, 21(3): 266-279. DOI: 10.1007/BF02836957 |
| 作者姓名： | Qiang Li Xuezhang Liang |
| 作者单位： | Institute of Mathematics Jilin University Changchun, 130012 P. R. China |
| 摘 要： | In this paper, we construct a kind of bivariate real-valued orthogonal periodic wavelets. The corresponding decomposition and reconstruction algorithms involve only 8 terms respectively which are very simple in practical computation. Moreover, the relation between periodic wavelets and Fourier series is also discussed. |
| 关 键 词： | 周期性小波 扩张方程 Fourier转换 重建算法 |
| 收稿时间： | 2004-07-20 |
| 修稿时间： | 2005-01-25 |
Bivariate real-valued orthogonal periodic wavelets |
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| Qiang Li,Xuezhang Liang. Bivariate real-valued orthogonal periodic wavelets[J]. Analysis in Theory and Applications, 2005, 21(3): 266-279. DOI: 10.1007/BF02836957 | |
| Authors: | Qiang Li Xuezhang Liang |
| Affiliation: | (1) Institute of Mathematics, Jilin University, 130012 Changchun, P. R. China |
| Abstract: | In this paper, we construct a kind of bivariate real-valued orthogonal periodic wavelets. The corresponding decomposition and reconstruction algorithms involve only 8 terms respectively which are very simple in practical computation. Moreover, the relation between periodic wavelets and Fourier series is also discussed. |
| Keywords: | periodic multiresolution analysis two-scale dilation equation periodic wavelet discrete Fourier transform WAVELETS PERIODIC ORTHOGONAL relation Fourier series decomposition reconstruction algorithms simple practical computation kind bivariate orthogonal periodic wavelets paper |
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