DocumentCode :
2390312
Title :
Multiple antennas and representation theory
Author :
Hassibi, Babak ; Hochwald, Bertrand ; Shokrollahi, Amin ; Sweldens, Wim
Author_Institution :
Math. Sci. Center, Lucent Technol. Bell Labs., Murray Hill, NJ, USA
fYear :
2000
fDate :
2000
Firstpage :
337
Abstract :
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
Keywords :
diversity reception; fading channels; group codes; group theory; radio links; telecommunication channels; transmitting antennas; data rate; differential modulation; fixed-point-free groups; full-diversity constellations; group code; high-rate space-time constellations; low decoding complexity; low encoding complexity; low-complexity decoding algorithms; multiple antennas; real wireless channels; representation theory; simulated wireless channels; transmitter antennas; transmitter diversity; unitary matrices; wireless communication link reliability; Antenna theory; Decoding; Fading; Mars; Performance loss; Quaternions; Receiving antennas; Transmitters; Transmitting antennas; Web page design;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
Type :
conf
DOI :
10.1109/ISIT.2000.866635
Filename :
866635
Link To Document :
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