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Space-Time Codes Achieving the DMD Tradeoff of the MIMO-ARQ Channel

Pawar, Sameer A and Kumar, K Raj and Elia, Petros and Kumar, P Vijay and Sethuraman, BA (2009) Space-Time Codes Achieving the DMD Tradeoff of the MIMO-ARQ Channel. In: IEEE International Symposium on Information Theory and Its Applications, JUL 2009, Adelaide, pp. 3101-3114.

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Abstract

For the quasi-static, Rayleigh-fading multiple-input multiple-output (MIMO) channel with n(t) transmit and n(r) receive antennas, Zheng and Tse showed that there exists a fundamental tradeoff between diversity and spatial-multiplexing gains, referred to as the diversity-multiplexing gain (D-MG) tradeoff. Subsequently, El Gamal, Caire, and Damen considered signaling across the same channel using an L-round automatic retransmission request (ARQ) protocol that assumes the presence of a noiseless feedback channel capable of conveying one bit of information per use of the feedback channel. They showed that given a fixed number L of ARQ rounds and no power control, there is a tradeoff between diversity and multiplexing gains, termed the diversity-multiplexing-delay (DMD) tradeoff. This tradeoff indicates that the diversity gain under the ARQ scheme for a particular information rate is considerably larger than that obtainable in the absence of feedback. In this paper, a set of sufficient conditions under which a space-time (ST) code will achieve the DMD tradeoff is presented. This is followed by two classes of explicit constructions of ST codes which meet these conditions. Constructions belonging to the first class achieve minimum delay and apply to a broad class of fading channels whenever n(r) &gt;= n(t) and either L/n(t) or n(t)<span class='textbac'>k</span>slashL. The second class of constructions do not achieve minimum delay, but do achieve the DMD tradeoff of the fading channel for all statistical descriptions of the channel and for all values of the parameters n(r,) n(t,) L.

Item Type: Conference Paper
Additional Information: Copyright for this article belongs to IEEE.
Keywords: Automatic retransmission request (ARQ); cyclic division algebra; diversity-multiplexing-delay (DMD) tradeoff; diversity-multiplexing gain(D-MG) tradeoff; explicit construction; multiple-input multiple-output (MIMO) feedback; space-time (ST) codes
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 23 Dec 2009 09:51
Last Modified: 19 Sep 2010 05:37
URI: http://eprints.iisc.ernet.in/id/eprint/21475

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