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.
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