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High-rate space-time codes motivated by SU(3)

Jing, Yindi and Hassibi, Babak (2003) High-rate space-time codes motivated by SU(3). In: Conference Record of the Thirty-Seventh Asilomar Conference on Signals, Systems and Computers, 2004. Vol.2. IEEE , Piscataway, NJ, pp. 1801-1805. ISBN 0-7803-8104-1.

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Fully-diverse constellations, i.e., a set of unitary matrices whose pairwise differences are nonsingular, are useful in multi-antenna communications especially in multi-antenna 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 methods to design space-time codes which are appropriate for three-transmit- antenna differential modulation. The structures of the codes are motivated by the Lie group SU(3). One of the codes, called the AB code, has a fast decoding algorithm using the complex sphere decoder. The diversity products of the codes can be easily calculated and simulated performances show that the codes are better than the group-based codes [1] especially at high rates and as good as the elaborately-designed non-group codes[1].

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Additional Information:© 2003 IEEE.
Record Number:CaltechAUTHORS:20150211-073959812
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54681
Deposited By: Shirley Slattery
Deposited On:13 Feb 2015 23:07
Last Modified:10 Nov 2021 20:36

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