Introduction to vector sampling expansion

Daniel Seidner, Meir Feder, David Cubanski, Steve Blackstock

Research output: Contribution to journalArticlepeer-review


This work extends Papoulis' General Sampling Expansion to the vector case where N band limited signals are passed through a multi-input multi-output (MIMO) LTI system that generates M ( M ≥ N) output signals. We find necessary and sufficient conditions for reconstructing the N input signals from the samples of the M output signals, all sampled at N/M the Nyquist rate. A surprising necessary condition is that M/N must be an integer. This condition is no longer necessary when each of the output signals can be sampled at a different rate.

Original languageEnglish
Pages (from-to)115-117
Number of pages3
JournalIEEE Signal Processing Letters
Issue number5
StatePublished - 1998


  • General sampling expansion
  • Multirate systems
  • Nyquist rate
  • Sampling theorem


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