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Article Dans Une Revue IEEE Transactions on Information Theory Année : 2010

Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay

Olivier Leveque
  • Fonction : Auteur
Christophe Vignat
M. Yüksel
  • Fonction : Auteur

Résumé

In this paper, we investigate the diversity-multiplexing tradeoff (DMT) of the multiple-antenna (MIMO) static half-duplex relay channel. 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. The DMT expression is given as the solution of a minimization problem in general, and an explicit expression is found when the relay channel is symmetric in terms of number of antennas, i.e., the source and the destination have n antennas each, and the relay has m antennas. 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. Besides, the derivation of the upper bound involves a new asymptotic study of spherical integrals (that is, integrals with respect to the Haar measure on the unitary group u(n)), which is a topic of mathematical interest in itself.

Dates et versions

hal-00831860 , version 1 (07-06-2013)

Identifiants

Citer

Olivier Leveque, Christophe Vignat, M. Yüksel. Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay. IEEE Transactions on Information Theory, 2010, 56 (7), pp.3356 - 3368. ⟨10.1109/TIT.2010.2048471⟩. ⟨hal-00831860⟩
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