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Multi-dimensional and non-uniform constellation optimization via the special orthogonal group

Multi-dimensional and non-uniform constellation optimization via the special orthogonal group

With the goal of optimizing the CM (coded modulation) capacity of a finite constellation over a Rayleigh fading channel, we use one-parameter subgroups of the Lie group of rotation matrices to construct families of rotation matrices which optimize a certain objective function controlling the CM capacity. Our construction does not …