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https://doi.org/10.1016/j.acha.2010.01.002
Title: | Band-limited refinable functions for wavelets and framelets | Authors: | Chen, W. Goh, S.S. |
Keywords: | Band-limited refinable functions Frames Refinement masks Wavelet bases |
Issue Date: | May-2010 | Citation: | Chen, W., Goh, S.S. (2010-05). Band-limited refinable functions for wavelets and framelets. Applied and Computational Harmonic Analysis 28 (3) : 338-345. ScholarBank@NUS Repository. https://doi.org/10.1016/j.acha.2010.01.002 | Abstract: | Extending band-limited constructions of orthonormal refinable functions, a special class of periodic functions is used to generate a family of band-limited refinable functions. Characterizations of Riesz bases and frames formed by integer shifts of these refinable functions are obtained. Such families of refinable functions are employed to construct band-limited biorthogonal wavelet bases and biframes with desirable time-frequency localization. © 2010 Elsevier Inc. All rights reserved. | Source Title: | Applied and Computational Harmonic Analysis | URI: | http://scholarbank.nus.edu.sg/handle/10635/104673 | ISSN: | 10635203 | DOI: | 10.1016/j.acha.2010.01.002 |
Appears in Collections: | Staff Publications |
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