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| 摘要: |
| 本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波.利用矩阵扩充,获得了3维矩阵对称扩充方法和小波构造的算法,并且,该算法便于计算机程序化实现;利用两个实例验证了相关的结论. |
| 关键词: 双正交性 对称性 多相位矩阵 矩阵扩充 消失矩 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:Supported by National Science Foundation of China (11171103); Science Foundation of Hunan Education Office (13C624; 13C621); Science Foundation of Hunan University of Arts and Science (13ZD01). |
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| CONSTRUCTION OF BIORTHOGONAL 3-BAND WAVELETS WITH SYMMETRY AND HIGH VANISHING MOMENTS |
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ZOU Qing-yun,WANG Guo-qiu,CAO Qian
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| Abstract: |
| In this paper, we investigate the biorthogonal matrix extension problem with symmetry and its application to construction of 3-band biorthogonal wavelets with compact supported, symmetry and high vanishing moments. By using the theory of matrix extension, we obtain the method of three-dimensional biorthogonal matrix extension with symmetry and a step-by-step algorithm for construction of 3-band biorthogonal wavelets, which is easily implemented by computer program. Several examples are provided to illustrate the proposed algorithm and results in this paper. |
| Key words: biorthogonality symmetry polyphase matrices matrix extension vanishing moments |
