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An Algebraic Coding Scheme for Wireless Relay Networks With Multiple-Antenna Nodes

Oggier, Frédérique and Hassibi, Babak (2008) An Algebraic Coding Scheme for Wireless Relay Networks With Multiple-Antenna Nodes. IEEE Transactions on Signal Processing, 56 (7). pp. 2957-2966. ISSN 1053-587X. doi:10.1109/TSP.2008.917410.

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We consider the problem of coding over a half-duplex wireless relay network where both the transmitter and the receiver have respectively several transmit and receive antennas, whereas each relay is a small device with only a single antenna. Since, in this scenario, requiring the relays to decode results in severe rate hits, we propose a full rate strategy where the relays do a simple operation before forwarding the signal, based on the idea of distributed space-time coding. Our scheme relies on division algebras, an algebraic object which allows the design of fully diverse matrices. The code construction is applicable to systems with any number of transmit/receive antennas and relays, and has better performance than random code constructions, with much less encoding complexity. Finally, the robustness of the proposed distributed space-time codes to node failures is considered.

Item Type:Article
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Oggier, Frédérique0000-0003-3141-3118
Additional Information:© 2008 IEEE. Reprinted with permission. Manuscript received April 9, 2006; revised January 3, 2008. [Date Published in Issue: 2008-06-17] The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Geert Leus. This work was supported in part by the Swiss National Science Foundation (NSF) under Grant PBEL2-110209 and NSF Grant CCR-0133818, by Caltech’s Lee Center for Advanced Networking, and by a grant from the David and Lucille Packard Foundation. Color versions of one or more of the figures in this paper are available online at
Funding AgencyGrant Number
Swiss National Science Foundation (SNSF)PBEL2-110209
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
David and Lucille Packard FoundationUNSPECIFIED
Subject Keywords:Distributed space-time coding, division algebras
Issue or Number:7
Record Number:CaltechAUTHORS:OGGieeetsp08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11151
Deposited By: Archive Administrator
Deposited On:18 Jul 2008 21:53
Last Modified:08 Nov 2021 21:33

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