TY - EJOUR
DO - 10.1109/TIT.2010.2048471
AB - 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.
T1 - Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay
DA - 2010
AU - Leveque, Olivier
AU - Vignat, Christophe
AU - Yuksel, Melda
JF - IEEE Transactions on Information Theory
SP - 3356-3368
VL - 56(7)
EP - 3356-3368
PB - Institute of Electrical and Electronics Engineers
ID - 153114
KW - Cooperation
KW - diversity-multiplexing tradeoff (DMT)
KW - fading channels
KW - multiple-input multiple-output (MIMO)
KW - relay channel
KW - spherical integrals
KW - wireless networks
KW - Cooperative Diversity
KW - Spherical Integrals
KW - Asymptotics
KW - Channels
SN - 0018-9448
UR - http://infoscience.epfl.ch/record/153114/files/OL_Diversity.Multiplexing%20Tradeoff.pdf
ER -