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Rotating non-uniform and high-dimensional constellations using geodesic flow on lie groups

Rotating non-uniform and high-dimensional constellations using geodesic flow on lie groups

We use a numerical algorithm on the Lie group of rotation matrices to obtain rotated constellations for Rayleigh fading channels. Our approach minimizes the union bound for the pairwise error probability to produce rotations optimized for a given signal-to-noise ratio. This approach circumvents explicit parametrization of rotation matrices, which has …