A general sampling theorem for multiwavelet subspaces

	A general sampling theorem for multiwavelet subspaces
	Jia, CY ; Gao, XP
	2002-10-01
发表期刊	SCIENCE IN CHINA SERIES F
ISSN	1009-2757
卷号	45 期号:5 页码:365-372
摘要	An orthogonal scaling function phi(t) can realize perfect A/D (Analogue/Digital) and D/A if and only if phi(t) is cardinal in the case of scalar wavelet. But it is not true when it comes to multiwavelets. Even if a multiscaling function phi(t) is not cardinal, it also holds for perfect A/D and D/A. This property shows the limitation of Selesnick's sampling theorem. In this paper, we present a general sampling theorem for multiwavelet subspaces by Zak transform and make a large family of multiwavelets with some good properties (orthogonality, compact support, symmetry, high approximation order, etc.), but not necessarily with cardinal property, realize perfect A/D and D/A. Moreover, Selesnick's result is just the special case of our theorem. And our theorem is suitable for some symmetrical or nonorthogonal multiwavelets.
关键词	multiwavelet sampling theorem Zak transform general cardinal
收录类别	SCI
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Information Systems
WOS记录号	WOS:000178449900004
出版者	SCIENCE CHINA PRESS
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/13533
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Jia, CY
作者单位	1.Chinese Acad Sci, Comp Technol Inst, Key Lab Intelligent Informat Proc, Beijing 100080, Peoples R China 2.Xiangtan Univ, Informat Engn Coll, Xiangtan 411105, Peoples R China
推荐引用方式 GB/T 7714	Jia, CY,Gao, XP. A general sampling theorem for multiwavelet subspaces[J]. SCIENCE IN CHINA SERIES F,2002,45(5):365-372.
APA	Jia, CY,&Gao, XP.(2002).A general sampling theorem for multiwavelet subspaces.SCIENCE IN CHINA SERIES F,45(5),365-372.
MLA	Jia, CY,et al."A general sampling theorem for multiwavelet subspaces".SCIENCE IN CHINA SERIES F 45.5(2002):365-372.