Constructing totally interpolating wavelet frame systems
文献类型：期刊论文
| 作者 | Li, Baobin |
| 刊名 | International journal of wavelets multiresolution and information processing
 |
| 出版日期 | 2015-05-01 |
| 卷号 | 13期号:3页码:18 |
| 关键词 | Sampling theorem Wavelets Wavelet frame Framelets Bi-frames |
| ISSN号 | 0219-6913 |
| DOI | 10.1142/s0219691315500174 |
| 通讯作者 | Li, baobin(libb@ucas.ac.cn) |
| 英文摘要 | The system of totally interpolating wavelet frames is discussed in this paper, in which both the scaling function and one of wavelet functions are interpolating. it will be shown that corresponding filter banks possess the special structure, and the parametrization of filter banks is present. moreover, we show that when considering tight frame systems with two generators, the ron-shen's continuous-linear-spline-based tight frame is the only one with totally interpolating property and symmetry. but in the dual frame context, more good examples of bi-frames with symmetric/antisymmetric property can be obtained and constructed, which in particular, include frames with the uniform symmetry. |
| WOS关键词 | SAMPLING THEOREM ; REFINABLE FUNCTIONS ; TIGHT FRAMES ; SCHEME |
| WOS研究方向 | Computer Science ; Mathematics |
| WOS类目 | Computer Science, Software Engineering ; Mathematics, Interdisciplinary Applications |
| 语种 | 英语 |
| WOS记录号 | WOS:000355330800005 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2376615 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Li, Baobin |
| 作者单位 | Univ Chinese Acad Sci, Sch Comp & Control, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Baobin. Constructing totally interpolating wavelet frame systems[J]. International journal of wavelets multiresolution and information processing,2015,13(3):18. |
| APA | Li, Baobin.(2015).Constructing totally interpolating wavelet frame systems.International journal of wavelets multiresolution and information processing,13(3),18. |
| MLA | Li, Baobin."Constructing totally interpolating wavelet frame systems".International journal of wavelets multiresolution and information processing 13.3(2015):18. |
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来源：中国科学院大学
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