AN ALGORITHM FOR CONSTRUCTING ORTHOGONAL ARMLET MULTI-WAVELETS WITH MULTIPLICITY r AND DILATION FACTOR a

作     者：Zhou Xiaohui Wang Gang Wang Baoqin 

作者机构：School of Mathematics Science Xinjiang Normal University Urumqi 830054 China 

出 版 物：《Journal of Electronics(China)》 (电子科学学刊（英文版）)

年 卷 期：2011年第28卷第4期

页      面：643-651页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Development Program for Young Teacher in the Science Researcher Project for Colleges and Universities of Xinjiang Province of China (No. XJEDU-2009S67) 

主　　题：Armlets Para-unitary A-scale Similar Transform(PAST) The balance 

摘      要：The purpose of this paper is to construct an orthogonal Armlet multi-wavelets with mul-tiplicity r and dilation factor ***,the definition of Armlets with dilation factor a is proposed in this *** on the Two-scale Similar Transform(TST),the notion of the Para-unitary A-scale Similar Transform(PAST) is introduced,and we also give the transform on the all two-scale matrix symbols of the multi-wavelets with dilation *** we show that the PAST and the transform on the matrix symbols of the multi-wavelets keep the orthogonality of the multi-wavelets *** discuss the condition that multi-wavelets corresponding to the multi-scaling functions are all *** performing the PAST and the transform on the matrix symbols of the multi-wavelets,the multi-scaling function can be balanced and the corresponding multi-wavelets can be Armlets at the same *** construction of Armlets with high order is also *** last,by a given example,we can conclude that the algorithm is feasible and efficient.