A general sampling theorem for multiwavelet subspaces
文献类型：期刊论文
| 作者 | Jia, CY; Gao, XP |
| 刊名 | SCIENCE IN CHINA SERIES F
 |
| 出版日期 | 2002-10-01 |
| 卷号 | 45期号:5页码:365-372 |
| 关键词 | multiwavelet sampling theorem Zak transform general cardinal |
| ISSN号 | 1009-2757 |
| 英文摘要 | An orthogonal scaling function phi(t) can realize perfect A/D (Analogue/Digital) and D/A if and only if phi(t) is cardinal in the case of scalar wavelet. But it is not true when it comes to multiwavelets. Even if a multiscaling function phi(t) is not cardinal, it also holds for perfect A/D and D/A. This property shows the limitation of Selesnick's sampling theorem. In this paper, we present a general sampling theorem for multiwavelet subspaces by Zak transform and make a large family of multiwavelets with some good properties (orthogonality, compact support, symmetry, high approximation order, etc.), but not necessarily with cardinal property, realize perfect A/D and D/A. Moreover, Selesnick's result is just the special case of our theorem. And our theorem is suitable for some symmetrical or nonorthogonal multiwavelets. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000178449900004 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/13532]  |
| 专题 | 中国科学院计算技术研究所期刊论文_英文 |
| 通讯作者 | Jia, CY |
| 作者单位 | 1.Chinese Acad Sci, Comp Technol Inst, Key Lab Intelligent Informat Proc, Beijing 100080, Peoples R China 2.Xiangtan Univ, Informat Engn Coll, Xiangtan 411105, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia, CY,Gao, XP. A general sampling theorem for multiwavelet subspaces[J]. SCIENCE IN CHINA SERIES F,2002,45(5):365-372. |
| APA | Jia, CY,&Gao, XP.(2002).A general sampling theorem for multiwavelet subspaces.SCIENCE IN CHINA SERIES F,45(5),365-372. |
| MLA | Jia, CY,et al."A general sampling theorem for multiwavelet subspaces".SCIENCE IN CHINA SERIES F 45.5(2002):365-372. |
入库方式： OAI收割
来源：计算技术研究所
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