向量值正交小波的構造與向量值小波包的特征

The notion of vector-valued multiresolution analysis is introduced and the concept of orthogonal vector-valued wavelets with 3-scale is proposed.A necessary and sufficient condition on the existence of orthogonal vector-valued wavelets is given by means of paraunitary vector filter bank theory.An algorithm for constructing a class of compactly supported orthogonal vector-valued wavelets is presented.Their characteristics is discussed by virtue of operator theory,time-frequency method.Moreover,it is shown how to design various orthonormal bases of space L2(R,Cn) from these wavelet packets.

作 者： 陳清江 劉洪運 CHEN Qing-jiang LIU Hong-yun   作者單位： 陳清江,CHEN Qing-jiang(School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China)

劉洪運,LIU Hong-yun(Institute of Higher Vocational Education,Shangqiu Vocational and Technical College,Shangqiu 476000,China) 

刊 名： 數(shù)學季刊（英文版）  ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS  年，卷(期)： 2008 23(3)  分類號： O174.2  關鍵詞： orthogonal   Hermitian matrix   vector-valued multiresolution analysis   vectorvalued scaling functions   vector-valued wavelets   vector-valued wavelet packets  

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