Title :
Design of unitary space-time codes from representations of SU(2)
Author :
Shokrollahi, Amin
Author_Institution :
Digital Fountain, Fremont, CA, USA
Abstract :
We explicitly construct an irreducible four-dimensional unitary representation of the Lie group SU(2) and use it for the construction of high-rate unitary space-time codes for four transmit antennas. Our construction calls for the design of such spherical codes in which the angle between any two points is well separated from 120 degrees. We give a partial solution to this restricted design problem and use numerical optimization techniques to optimize our solution
Keywords :
Lie groups; SU(2) theory; group codes; optimisation; Lie group; SU(2) representations; irreducible four-dimensional unitary representation; numerical optimization techniques; spherical codes; transmit antennas; unitary space-time code; Design optimization; Error probability; Fading; Mathematics; Maximum likelihood decoding; Receiving antennas; Space time codes; Transmitting antennas;
Conference_Titel :
Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-7123-2
DOI :
10.1109/ISIT.2001.936104
