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DMT of Multihop Networks: End Points and Computational Tools

Sreeram, K and Birenjith, S and Kumar, Vijay P (2012) DMT of Multihop Networks: End Points and Computational Tools. In: IEEE Transactions on Information Theory, 58 (2). pp. 804-819.

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Abstract

In this paper, the diversity-multiplexing gain tradeoff (DMT) of single-source, single-sink (ss-ss), multihop relay networks having slow-fading links is studied. In particular, the two end-points of the DMT of ss-ss full-duplex networks are determined, by showing that the maximum achievable diversity gain is equal to the min-cut and that the maximum multiplexing gain is equal to the min-cut rank, the latter by using an operational connection to a deterministic network. Also included in the paper, are several results that aid in the computation of the DMT of networks operating under amplify-and-forward (AF) protocols. In particular, it is shown that the colored noise encountered in amplify-and-forward protocols can be treated as white for the purpose of DMT computation, lower bounds on the DMT of lower-triangular channel matrices are derived and the DMT of parallel MIMO channels is computed. All protocols appearing in the paper are explicit and rely only upon AF relaying. Half-duplex networks and explicit coding schemes are studied in a companion paper.

Item Type: Journal Article
Publication: IEEE Transactions on Information Theory
Publisher: IEEE
Additional Information: Copyright 2012 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: Amplify-and-forward protocols;cooperative diversity; degrees of freedom;deterministic network;diversity-multiplexing gain tradeoff;explicit codes;multihop networks;parallel channel;relay networks
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 10 Apr 2012 07:37
Last Modified: 10 Apr 2012 07:37
URI: http://eprints.iisc.ac.in/id/eprint/44170

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