Diversity-Multiplexing Tradeoff in Selective-Fading MIMO Channels

Details Diversity-Multiplexing Tradeoff in Selective-Fading MIMO Channels Diversity-Multiplexing Tradeoff in Selective-Fading MIMO Channels

2007-04-25

arxiv.org/abs/0704.3402v1

Computer Science

Information Theory

To be presented at IEEE Int. Symp. Inf. Theory 2007, Nice, France

Scientific paper

We establish the optimal diversity-multiplexing (DM) tradeoff of coherent time, frequency and time-frequency selective-fading MIMO channels and provide a code design criterion for DM-tradeoff optimality. Our results are based on the analysis of the "Jensen channel" associated to a given selective-fading MIMO channel. While the original problem seems analytically intractable due to the mutual information being a sum of correlated random variables, the Jensen channel is equivalent to the original channel in the sense of the DM-tradeoff and lends itself nicely to analytical treatment. Finally, as a consequence of our results, we find that the classical rank criterion for space-time code design (in selective-fading MIMO channels) ensures optimality in the sense of the DM-tradeoff.

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