Diversity-multiplexing tradeoff for the MIMO static half-duplex relay

Authors:
Olivier Lévêque;Christophe Vignat;Melda Yuksel
Affiliations:
Faculté I&C, Ecole Poly technique Féédérale de Lausanne, Lausanne, Switzerland;Institut Gaspar Monge, Université de Marne-Ia-Vallée, Marne-Ia-Vallée, France;EEE Department, TOBB-ETU, Ankara, Turkey
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 2
Year:
2009

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Abstract

In this work, we investigate the diversity-multiplexing tradeoff (DMT) of the multiple-antenna (MIMO) static half-duplex relay channel. The relay channel is assumed to be symmetric in terms of number of antennas, i.e, the source and the destination have n antennas each, and the relay has m antennas. A general expression is derived for the DMT upper bound, which can be achieved by a compress-and-forward protocol at the relay, under certain assumptions. It is observed that the static half-duplex DMT matches the full-duplex DMT when the relay has a single antenna, and is strictly below the full-duplex DMT when the relay has multiple antennas.