Introduction to vector sampling expansion
Seidner, D.; Feder, M.; Cubanski, D.; Blackstock, S.
Signal Processing Letters, IEEE
Volume 5, Issue 5, May 1998 Page(s):115 - 117
Digital Object Identifier   10.1109/97.668947
Summary:This work extends Papoulis' (1977) general sampling expansion to the vector case where N band-limited signals are passed through a multi-input multi-output (MIMO) linear time invariant (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

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