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	International Conference on Advanced Measurement and Test (AMT 2010)
会议录名称	ADVANCED MEASUREMENT AND TEST, PARTS 1 AND 2
卷号	439-440
页码	1147-+
会议日期	MAY 15-16, 2010
会议地点	Sanya, PEOPLES R CHINA
会议录编者/会议主办者	Huazhong Normal Univ, Intelligent Info Tech Assoc, Key Engn Mat Journal
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 L-2(R,C-uxu) are obtained by constructing a series of subspaces of orthogonal matrix-valued wavelet packets.
关键词	orthogonal matrix-valued wavelet packets time-frequency analysis matrix theory orthogonality formulas
DOI	10.4028/www.scientific.net/KEM.439-440.1147
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
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/30254
专题	信息工程与人工智能学院
作者单位	1.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Peoples R China; 2.Xian Univ Arch & Tech, Sch Sci, Xian 710055, Peoples R 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]//Huazhong Normal Univ, Intelligent Info Tech Assoc, Key Engn Mat Journal:TRANS TECH PUBLICATIONS LTD,2010:1147-+.