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Representation theory for high-rate multiple-antenna code design

Shokrollahi, Amin and Hassibi, Babak and Hochwald, Bertrand M. and Sweldens, Wim (2001) Representation theory for high-rate multiple-antenna code design. IEEE Transactions on Information Theory, 47 (6). pp. 2335-2367. ISSN 0018–9448. doi:10.1109/18.945251.

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Multiple antennas can greatly increase the data rate and reliability of a wireless communication link in a fading environment, but the practical success of using multiple antennas depends crucially on our ability to design high-rate space-time constellations with low encoding and decoding complexity. It has been shown that full transmitter diversity, where the constellation is a set of unitary matrices whose differences have nonzero determinant, is a desirable property for good performance. We use the powerful theory of fixed-point-free groups and their representations to design high-rate constellations with full diversity. Furthermore, we thereby classify all full-diversity constellations that form a group, for all rates and numbers of transmitter antennas. The group structure makes the constellations especially suitable for differential modulation and low-complexity decoding algorithms. The classification also reveals that the number of different group structures with full diversity is very limited when the number of transmitter antennas is large and odd. We, therefore, also consider extensions of the constellation designs to nongroups. We conclude by showing that many of our designed constellations perform excellently on both simulated and real wireless channels.

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Additional Information:“©2001 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 March 30, 2000; revised February 28, 2001. Communicated by M. L. Honig, Associate Editor for Communications. The authors are especially grateful to J. Buhler and Z. Reichstein for pointing out [19]. They also thank M. Andrews at Bell Laboratories, Murray Hill, for allowing them to use his three-antenna testbed.
Subject Keywords:Fading channels, receive diversity, space–time coding, transmit diversity, wireless communications
Issue or Number:6
Record Number:CaltechAUTHORS:SHOieeetit01
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1035
Deposited By: Archive Administrator
Deposited On:02 Dec 2005
Last Modified:08 Nov 2021 19:06

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