Diversity-multiplexing tradeoff in selective-fading MIMO channels


Pedro Coronel and Helmut Bölcskei


Proc. of IEEE International Symposium on Information Theory (ISIT), Nice, France, pp. 2841-2845, June 2007.

DOI: 10.1109/ISIT.2007.4557649

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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.


Diversity-multiplexing tradeoff, MIMO, selective-fading channels, Jensen channel


Corrections compared to version published in the proceedings: Transposition in Eq. 2 and modified definition of lambda(SNR) in Corollary 1.

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