The orthogonality character of matrix univariate wavelet packets concerning an integer factor

doi:10.4028/www.scientific.net/KEM.439-440.1147

	The orthogonality character of matrix univariate wavelet packets concerning an integer factor
	Han, Jincang1 ; Li, Yang 2
	2010
会议名称	2010 International Conference on Advanced Measurement and Test, AMT 2010
会议录名称	Key Engineering Materials
卷号	439-440
期号	1
页码	1147-1152
会议日期	2010-05-15 - 2010-05-16
会议地点	Sanya, China
出版地	DURNTEN-ZURICH
出版者	Trans Tech Publications Ltd
摘要	The notion of matrix-valued multiresolution analysis. A procedure for designing orthogonal matrix-valued univariate wavelet packets is presented and their orthogonality properties are discussed by means of time-frequency analysis method, matrix theory and functional analysis method. Three orthogonality formulas concerning these wavelet packets are obtained. Finally, one new orthonormal basis of L2(R,Cu× u) are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets. © 2010 Trans Tech Publications.
关键词	Wavelet analysis Matrix theory Orthogonal Orthogonality Time frequency analysis Wavelet Packet
DOI	10.4028/www.scientific.net/KEM.439-440.1147
收录类别	EI ; CPCI-S ; CPCI
语种	英语
WOS研究方向	Engineering ; Instruments & Instrumentation
WOS类目	Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS记录号	WOS:000282785300203
EI入藏号	20103313148474
原始文献类型	Proceedings Paper
引用统计	被引频次[WOS]：0 [WOS记录] [WOS相关记录]
文献类型	会议论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/9863
专题	信息工程与人工智能学院
作者单位	1.School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730020, China; 2.School of Science, Xi'an University of Arch. and Tech., Xi'an 710055, China
推荐引用方式 GB/T 7714	Han, Jincang,Li, Yang. The orthogonality character of matrix univariate wavelet packets concerning an integer factor[C]. DURNTEN-ZURICH:Trans Tech Publications Ltd,2010:1147-1152.