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https://doi.org/10.1006/acha.2000.0318
Title: | Construction of Biorthogonal Multiwavelets Using the Lifting Scheme | Authors: | Goh, S.S. Jiang, Q. Xia, T. |
Keywords: | Biorthogonal multiwavelets; lifting scheme; optimum time-frequency localization; image compression | Issue Date: | 4-Oct-2000 | Citation: | Goh, S.S., Jiang, Q., Xia, T. (2000-10-04). Construction of Biorthogonal Multiwavelets Using the Lifting Scheme. Applied and Computational Harmonic Analysis 9 (3) : 336-352. ScholarBank@NUS Repository. https://doi.org/10.1006/acha.2000.0318 | Abstract: | The lifting scheme has been found to be a flexible method for constructing scalar wavelets with desirable properties. Here it is extended to the construction of multiwavelets. It is shown that any set of compactly supported biorthogonal multiwavelets can be obtained from the Lazy matrix filters with a finite number of lifting steps. As an illustration of the general theory, compactly supported biorthogonal multiwavelets with optimum time-frequency resolution are constructed. In addition, experimental results of applying these multiwavelets to image compression are presented. © 2000 Academic Press. | Source Title: | Applied and Computational Harmonic Analysis | URI: | http://scholarbank.nus.edu.sg/handle/10635/115655 | ISSN: | 10635203 | DOI: | 10.1006/acha.2000.0318 |
Appears in Collections: | Staff Publications |
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