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Title: Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay [Article]
Authors: Leveque, Olivier
Vignat, Christophe
Yüksel, Melda
Keywords: Cooperation
diversity-multiplexing tradeoff (DMT)
fading channels
multiple-input multiple-output (MIMO)
relay channel
spherical integrals
wireless networks
Issue Date: 2010
Publisher: IEEE-Inst Electrical Electronics Engineers Inc
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.
ISSN: 0018-9448
Appears in Collections:Elektrik ve Elektronik Mühendisliği Bölümü / Department of Electrical & Electronics Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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