INTRODUCTION TO VECTOR SAMPLING EXPANSION

This work extends Papoulis' General Sampling Expansion to the vector c ase where N band limited signals are passed through a multi-input mult i-output (MIMO) LTI system that generates M (M greater than or equal t o N) output signals, We find necessary and sufficient conditions for r econstructing the N input signals from the samples of the M output sig nals, all sampled at N/M the Nyquist rate. A surprising necessary cond ition is that M/N must be an integer. This condition is no longer nece ssary when each of the output signals can be sampled at a different ra te.