@article{Leveque:153114,
title = {Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay},
author = {Leveque, Olivier and Vignat, Christophe and Yuksel, Melda},
publisher = {Institute of Electrical and Electronics Engineers},
journal = {IEEE Transactions on Information Theory},
volume = {56(7)},
pages = {3356-3368},
year = {2010},
abstract = {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.},
url = {http://infoscience.epfl.ch/record/153114},
doi = {10.1109/TIT.2010.2048471},
}