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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【向量值正交小波的構造與向量值小波包的特征】相關文章：
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