| 引用本文: | 张增辉,成礼智.基于Grobner基与合冲模方法的M－带对称正交小波设计.[J].国防科技大学学报,2004,26(1):46-49 ,55.[点击复制] |
| ZHANG Zenghui,CHENG Lizhi.M-band Symmetric Orthogonal Wavelets Design via Grobner Basis and Syzygy Module[J].Journal of National University of Defense Technology,2004,26(1):46-49 ,55[点击复制] |
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| 基于Grobner基与合冲模方法的M－带对称正交小波设计 |
| 张增辉, 成礼智 |
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(国防科技大学 理学院，湖南 长沙 410073)
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| 摘要: |
| 通过引入计算代数中Grobner基以及合冲模的相关算法，提出对多相位矩阵进行正交化，从而得到了同时具有对称性和任意正则阶的M－带正交小波的高效设计方法。与现有方法相比，克服了构造过程复杂以及不能保持线性相位的缺陷。 |
| 关键词: 多带正交小波 正则阶 对称 Grobner基 合冲模 |
| DOI： |
| 投稿日期：2003-06-16 |
| 基金项目:国家自然科学基金资助项目(10171109) |
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| M-band Symmetric Orthogonal Wavelets Design via Grobner Basis and Syzygy Module |
| ZHANG Zenghui, CHENG Lizhi |
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(College of Science, National Univ. of Defense Technology, Changsha 410073,China)
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| Abstract: |
| We present a method to design symmetric orthogonal M-band wavelets with arbitrary regularity by using Grobner basis and syzygy module algorithm in computing algebra to orthogonalize the polyphase matrix. By using the existing methods, the computational process is complicated and the linear-phase can not be achieved. These drawbacks can be overcome by using the new one. |
| Keywords: M-band orthogonal wavelets regularity symmetric Grobner basis syzygy module |
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