On the splitting trick and wavelets packets with arbitrary dilation matrix of L-2(R-s)

doi:10.1016/j.chaos.2007.07.026

	On the splitting trick and wavelets packets with arbitrary dilation matrix of L-2(R-s)
	Han, Jincang; Cheng, Zhengxing
	2009-04-15
发表期刊	CHAOS SOLITONS & FRACTALS
卷号	40 期号:1 页码:130-137
摘要	Wavelet packets possess excellent characteristics in differentiations of space and spectrum. In this paper, The splitting trick coined by Daubechies is used to construct wavelet packets with all arbitrary dilation matrix A. Different from the classical wavelet packets, instructed by Coifman et al., our method is that we split the wavelet subspaces directly instead of using the low-pass and the high-pass filters associated with the multiresolution analysis. Furthermore, the method overcomes the difficulty of constructing non-orthogonal wavelet packets of the dilation matrix not equal to 2I. Finally, we show how to construct various Riesz basis from the wavelet packets. (C) 2007 Elsevier Ltd. All rights reserved.
DOI	10.1016/j.chaos.2007.07.026
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:000266190700012
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：1[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/15018
专题	信息工程与人工智能学院
作者单位	1.Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China; 2.Lanzhou Commercial Coll, Informat Engn Sch, Lanzhou 730020, Peoples R China
推荐引用方式 GB/T 7714	Han, Jincang,Cheng, Zhengxing. On the splitting trick and wavelets packets with arbitrary dilation matrix of L-2(R-s)[J]. CHAOS SOLITONS & FRACTALS,2009,40(1):130-137.
APA	Han, Jincang,&Cheng, Zhengxing.(2009).On the splitting trick and wavelets packets with arbitrary dilation matrix of L-2(R-s).CHAOS SOLITONS & FRACTALS,40(1),130-137.
MLA	Han, Jincang,et al."On the splitting trick and wavelets packets with arbitrary dilation matrix of L-2(R-s)".CHAOS SOLITONS & FRACTALS 40.1(2009):130-137.

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
15609.pdf（166KB）	期刊论文	出版稿	暂不开放	CC BY-NC-SA	请求全文