Vector sampling expansions in shift invariant subspaces

Zuofeng Shang; Wenchang Sun; Xingwei Zhou

doi:10.1016/j.jmaa.2006.02.033

Vector sampling expansions in shift invariant subspaces

Zuofeng Shang, Wenchang Sun, Xingwei Zhou

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Multi-input multi-output (MIMO) sampling scheme which is motivated by applications in multi-channel deconvolution and multi-source separation has been investigated in many aspects. Common for most of results on MIMO systems is that the input signals are supposed to be band-limited. In this paper, we study vector sampling expansions on general finitely generated shift-invariant subspaces. Necessary and sufficient conditions for a vector sampling theorem to hold are given. We also give several examples to illustrate the main result.

Original language	English (US)
Pages (from-to)	898-919
Number of pages	22
Journal	Journal of Mathematical Analysis and Applications
Volume	325
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2006.02.033
State	Published - Jan 15 2007
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

MIMO
Periodic nonuniform sampling
Sampling theorems
Vector sampling expansions
Vector sampling theorems

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10.1016/j.jmaa.2006.02.033

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AB - Multi-input multi-output (MIMO) sampling scheme which is motivated by applications in multi-channel deconvolution and multi-source separation has been investigated in many aspects. Common for most of results on MIMO systems is that the input signals are supposed to be band-limited. In this paper, we study vector sampling expansions on general finitely generated shift-invariant subspaces. Necessary and sufficient conditions for a vector sampling theorem to hold are given. We also give several examples to illustrate the main result.

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KW - Periodic nonuniform sampling

KW - Sampling theorems

KW - Vector sampling expansions

KW - Vector sampling theorems

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Vector sampling expansions in shift invariant subspaces

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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