Introduction to vector sampling expansion

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/spl ges/N) output signals. We find necessary and sufficient conditions for re...

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Bibliographic Details
Published in:IEEE signal processing letters 1998-05, Vol.5 (5), p.115-117
Main Authors: Seidner, D., Feder, M., Cubanski, D., Blackstock, S.
Format: Article
Language:English
Subjects:
Band pass filters
Bandwidth
Fourier transforms
MIMO
Multidimensional systems
Sampling methods
Signal generators
Signal sampling
Sufficient conditions
Transfer functions
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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/spl ges/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.
ISSN:1070-9908
1558-2361
DOI:10.1109/97.668947