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Construction of Biorthogonal Multiwavelets Using the Lifting Scheme

โœ Scribed by Say Song Goh; Qingtang Jiang; Tao Xia

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
323 KB
Volume
9
Category
Article
ISSN
1063-5203

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โœฆ Synopsis

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.

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