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Theory and Design of Multiwavelet and Balanced Multiwavelet

CUI Ling hong, CHENG Zheng xing (Faculty of Science, Xi'an Jiaotong University, Xi'an 710049)  
Multiwavelets becames a focus of research partly because they made possible the construction of wavelet systems that are simultaneously orthogonal, symmetric, and compactly supported, which is not possible for any real valued scalar wavelets. However, it became clear that the implementation of the discrete multiwavelet transform required the design of specialized prefilters, which sometimes destroys the very properties a multiwavelet is designed to have. Recently, a new subclass of balanced multiwavelet needing no prefiltering procedure has been proposed and have show better prospects in application. In order to understand and applied it moer better, we review the theory and design of balanced multiwavelet, and point out some interesting issues in future ressearch.
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