向量值正交小波的构造与向量值小波包的特征

向量值正交小波的构造与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 c

onstructing 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： 陈清江 刘洪运 CHEN Qing-jiang LIU Hong-yun 作者单位： 陈清江,CHEN Qing-jiang(School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China)

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

刊 名： 数学季刊（英文版） ISTIC PKU 英文刊名： CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年，卷(期)： 200823(3) 分类号： O174.2 关键词： orthogonal Hermitian matrix vector-valued multiresolution analysis vectorvalued scaling functions vector-valued wavelets vector-valued wavelet packets