Vector sampling expansions in shift invariant subspaces

Zuofeng Shang, Wenchang Sun, Xingwei Zhou

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageEnglish (US)
Pages (from-to)898-919
Number of pages22
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - Jan 15 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics


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


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