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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
DOI10.1142/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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