Vector sampling theorem for wavelet subspaces

The vector sampling theorem has been investigated and widely used by multi-channel deconvolution, multi-source separation and multi-input multi-output （MIh40） systems. Commonly, for most of the results on MIMO systems, the input signals are supposed to be band-limited. In this paper, we study the ve...

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Bibliographic Details
Published inJournal of Shanghai University Vol. 14; no. 1; pp. 29 - 33
Main Author 陈俊丽 李翔 刘维晓 万旺根
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University Press 01.02.2010
School of Communication and Information Engineering,Shanghai University,Shanghai 200072,P.R.China
Subjects
Classical Mechanics
Engineering
Environment
Information Technology
Life Sciences
Materials Science
Mathematical and Computational Engineering
Mechatronics
MIMO系统
充分条件
多输入多输出
小波子空间
抽样定理
输入信号
采样定理
vector sampling theorem
reproducing kernel
wavelet subspaces
Riesz basis
Online AccessGet full text
ISSN1007-6417
1863-236X
DOI10.1007/s11741-010-0106-3

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Summary:The vector sampling theorem has been investigated and widely used by multi-channel deconvolution, multi-source separation and multi-input multi-output （MIh40） systems. Commonly, for most of the results on MIMO systems, the input signals are supposed to be band-limited. In this paper, we study the vector sampling theorem for the wavelet subspaces with reproducing kernel. The case of uniform sampling is discussed, and the necessary and sufficient conditions for reconstruction are given. Examples axe also presented.
Bibliography:O174.2
reproducing kernel, wavelet subspaces, Riesz basis, vector sampling theorem
31-1735/N
TN911.7
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1007-6417
1863-236X
DOI:10.1007/s11741-010-0106-3