| 基于离散正交变换消失矩构造多带完全重构滤波器 |
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| 引用本文： | 龚卫明. 基于离散正交变换消失矩构造多带完全重构滤波器[J]. 长沙理工大学学报(自然科学版), 2006, 3(1): 52-57 |
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| 作者姓名： | 龚卫明 |
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| 作者单位： | 湖南城市学院,数学系,湖南,益阳,413000 |
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| 摘 要： | 研究了离散正交变换与多带消失矩完全重构滤波器的关系，证明了离散正交变换本质上为一种特殊的、具有一阶消失矩的多带完全重构滤波器．在此基础上，提出了一种多带完全重构滤波器的有效方法，数值试验验证了算法的正确性．
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| 关 键 词： | 离散正交变换 消失矩 完全重构滤波器 |
| 文章编号： | 1672-9331（2006）01-0052-06 |
| 收稿时间： | 2005-09-29 |
| 修稿时间： | 2005-09-29 |
Construction of multi-band perfect reconstruction filter based on vanishing mement of discrete orthogonoal transform |
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| GONG Wei-ming. Construction of multi-band perfect reconstruction filter based on vanishing mement of discrete orthogonoal transform[J]. Journal of Changsha University of Science and Technology(Natural Science), 2006, 3(1): 52-57 |
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| Authors: | GONG Wei-ming |
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| Affiliation: | Department of Mathematics, Hunan City University, Yiyang 413000, China |
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| Abstract: | The relationship between discrete orthogonal transform and multi-band perfect reconstruction filter is first revealed,the conclusion that the discrete orthogonal transform is essentially a type of a multi-band filter with perfect reconstruction is then proved. Based on this result, a new method for constructing multi-band perfect reconstruction filter is proposed and the numerical experimentation is achieved for illustrating the validity of proposed algorithm. |
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| Keywords: | discrete orthogonal transform vanishing moment perfect reconstruction filter |
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