A study of biorthogonal multiple vector-valued wavelets

doi:10.1016/j.chaos.2007.09.037

	A study of biorthogonal multiple vector-valued wavelets
	Han, Jincang; Cheng, Zhengxing ; Chen, Qingjiang
	2009-05-30
发表期刊	CHAOS SOLITONS & FRACTALS
卷号	40 期号:4 页码:1574-1587
摘要	The notion of vector-valued multiresolution analysis is introduced and the concept of biorthogonal multiple vector-valued wavelets which are wavelets for vector fields, is introduced. It is proved that, like in the scalar and multiwavelet case, the existence of a pair of biorthogonal multiple vector-valued scaling functions guarantees the existence of a pair of biorthogonal multiple vector-valued wavelet functions. An algorithm for constructing a class of compactly supported biorthogonal multiple vector-valued wavelets is presented. Their properties are investigated by means of operator theory and algebra theory and time-frequency analysis method. Several biorthogonality formulas regarding these wavelet packets are obtained. (C) 2007 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2007.09.037
收录类别	SCI ; EI ; SCOPUS ; SCIE
ISSN	0960-0779
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000266653500002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
原始文献类型	Article
EISSN	1873-2887
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/15017
专题	信息工程与人工智能学院
作者单位	1.Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China; 2.Lanzhou Commercial Coll, Sch Informat, Lanzhou 730000, Peoples R China; 3.Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
推荐引用方式 GB/T 7714	Han, Jincang,Cheng, Zhengxing,Chen, Qingjiang. A study of biorthogonal multiple vector-valued wavelets[J]. CHAOS SOLITONS & FRACTALS,2009,40(4):1574-1587.
APA	Han, Jincang,Cheng, Zhengxing,&Chen, Qingjiang.(2009).A study of biorthogonal multiple vector-valued wavelets.CHAOS SOLITONS & FRACTALS,40(4),1574-1587.
MLA	Han, Jincang,et al."A study of biorthogonal multiple vector-valued wavelets".CHAOS SOLITONS & FRACTALS 40.4(2009):1574-1587.

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