NDLI: Achieving the DMD tradeoff of the MIMO-ARQ channel

Content Provider	IEEE Xplore Digital Library
Author	Pawar, S.A. Kumar, K.R. Kumar, P.V. Elia, P. Sethuraman, B.A.
Copyright Year	2005
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Indian Inst. of Technol. (Pawar, S.A.; Kumar, K.R.; Kumar, P.V.)
Abstract	For the quasi-static, Rayleigh-fading MIMO channel with nt transmit and $n_{r}$ receive antennas, Zheng and Tse showed that there exists a fundamental tradeoff between diversity and multiplexing gains, referred to as the diversity-multiplexing gain (D-MG) tradeoff. Explicit constructions for D-MG optimal ST codes are now available. In a subsequent paper, El Gamal, Caire and Damen considered signaling across the quasi-static ST channel using an L-round ARQ protocol that assumes the presence of a noiseless feedback channel capable of conveying one bit of information (ACK or NACK) per use of the feedback channel. They showed that given a fixed number of ARQ rounds L, there is a tradeoff between diversity and multiplexing gains under which the optimum diversity gain of the ARQ channel transmitting R = r log(SNR) bits per channel use, is that of the quasi-static channel without feedback investigated by Zheng and Tse, transmitting at (1/L)th the information rate. This tradeoff, which now is a function of the number L of ARQ rounds, is termed the diversity-multiplexing gain-delay (DMD) tradeoff. In the current paper, a sufficient condition under which a ST code will achieve the DMD tradeoff is presented for the case $n_{r}$ ges $n_{t}.$ The cyclic-division-algebra-based constructions of DMG optimal ST codes by Elia et. al. are then modified to yield codes which meet this sufficient criterion and are thereby DMD-optimal. This modification requires that either $n_{t}\|L$ or $L\|n_{t}$
Starting Page	901
Ending Page	905
File Size	153289
Page Count	5
File Format	PDF
ISBN	0780391519
DOI	10.1109/ISIT.2005.1523468
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-09-04
Publisher Place	Australia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Automatic repeat request Feedback Protocols Symmetric matrices Transmitters Receiving antennas Mathematics Rayleigh channels MIMO Diversity methods
Content Type	Text
Resource Type	Article

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