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《Natural Science Journal of Xiangtan University》 2001-03
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Balanced Multiwavelet and Multifilter Bank

GAO Xie-ping, LI Xiao-lan (Information Engineer college, Xiangtan University,Xiangtan 411105 China,xpgao@xtu.edu.cn;Information Science Center, Peking University, Beijing China,xllee77@263.net)  
In this paper, we introduce a way to p roduce multiwavelet system, specially the balanced multiwavelet system, accordin g to three kinds of parametric expressions of the multifilter banks. And discuss the following aspects of the multiwavelet systems generated by these multifilte r banks: 1) the classification of balanced multiwavelet systems according to the symmetry of their every component; 2) the relations between the free parameters appearing during construction and the properties(especially, the approximation order, regularity order and balancing property)of multiwavelet systems. Finally,we show the correctness and reasonableness of the results through examples.
【Fund】: 国家自然科学基金(69875014);; 教育部高校骨干教师基金(GG-520-10530-1022);湖南省自然科学基金资助(0
【CateGory Index】: O174.2 
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