Vector sampling expansions in shift invariant subspaces |
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Authors: | Zuofeng Shang Xingwei Zhou |
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Affiliation: | Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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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. |
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Keywords: | Sampling theorems MIMO Vector sampling expansions Vector sampling theorems Periodic nonuniform sampling |
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