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Three-transmit-antenna space-time codes based on SU(3)

Jing, Yindi and Hassibi, Babak (2005) Three-transmit-antenna space-time codes based on SU(3). IEEE Transactions on Signal Processing, 53 (10). pp. 3688-3702. ISSN 1053-587X. doi:10.1109/TSP.2005.855092.

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Fully diverse constellations, i.e., a set of unitary matrices whose pairwise differences are nonsingular, are useful in multiantenna communications especially in multiantenna differential modulation, since they have good pairwise error properties. Recently, group theoretic ideas, especially fixed-point-free (fpf) groups, have been used to design fully diverse constellations of unitary matrices. Here, we give systematic design methods of space-time codes which are appropriate for three-transmit-antenna differential modulation. The structures of the codes are motivated by the special unitary Lie group SU(3). One of the codes, which is called the AB code, has a fast maximum-likelihood (ML) decoding algorithm using complex sphere decoding. Diversity products of the codes can be easily calculated, and simulated performance shows that they are better than group-based codes, especially at high rates and as good as the elaborately designed nongroup code.

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Additional Information:“© 2005 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.” Manuscript received May 14, 2004; revised November 20, 2004. This work was supported by the Air Force Office for Scientific Research for MURI “Mathematical Infrastructure for Robust Virtual Engineering,” URI “Protecting Infrastructures from Themselves,” and Caltech’s Lee Center for Advanced Networking. This work was supported in part by the National Science Foundation under Grant CCR-0133818, by the office of Naval Research under Grant N00014-02-1-0578, and by Caltech’s Lee Center for Advanced Networking. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Carlos H. Muravchik.
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Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
Office of Naval Research (ONR)N00014-02-1-0578
Subject Keywords:Diversity product, Lie group, multiple-antenna system, space-time code
Issue or Number:10
Record Number:CaltechAUTHORS:JINieeetsp05
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Official Citation:Yindi Jing and B. Hassibi, "Three-transmit-antenna space-time codes based on SU(3)," in IEEE Transactions on Signal Processing, vol. 53, no. 10, pp. 3688-3702, Oct. 2005. doi: 10.1109/TSP.2005.855092
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:862
Deposited By: Archive Administrator
Deposited On:31 Oct 2005
Last Modified:08 Nov 2021 19:05

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