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Published December 6, 2007 | Published
Journal Article Open

Diversity Analysis of Distributed Space-Time Codes in Relay Networks with Multiple Transmit/Receive Antennas

Abstract

The idea of space-time coding devised for multiple-antenna systems is applied to the problem of communication over a wireless relay network, a strategy called distributed space-time coding, to achieve the cooperative diversity provided by antennas of the relay nodes. In this paper, we extend the idea of distributed space-time coding to wireless relay networks with multiple-antenna nodes and fading channels. We show that for a wireless relay network with M antennas at the transmit node, N antennas at the receive node, and a total of ℛ antennas at all the relay nodes, provided that the coherence interval is long enough, the high SNR pairwise error probability (PEP) behaves as (1/P)^min{M,N}ℛ if M≠N and (log^(1/M)P/P)^ℳℛ if M=N, where P is the total power consumed by the network. Therefore, for the case of M≠N, distributed space-time coding achieves the maximal diversity. For the case of M=N, the penalty is a factor of log^(1/M)P which, compared to P, becomes negligible when P is very high.

Additional Information

© 2008 Y. Jing and B. Hassibi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Received 1 May 2007; Revised 13 September 2007; Accepted 28 November 2007. Recommended by M. Chakraborty. This work is supported in part by the National Science Foundation under Grants nos. CCR-0133818 and CCR-0326554, by the David and Lucille Packard Foundation, and by Caltech's Lee Center for Advanced Networking. A preliminary version of this paper and the related results first appeared in the Proceeding of the 2005 IEEE International Symposium on Information Theory [53]. Special Issue: Distributed Space-Time Systems. Guest Editors: Ranjan K. Mallik, Arogyaswami J. Paulraj, Mrityunjoy Chakraborty, Keith Q. T. Zhang, and George K. Karagiannidis. EURASIP Journal on Advances in Signal Processing, Special Issue No. 5, 2008. http://www.hindawi.com/journals/asp/volume-2008/si.5.html

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