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Locally Diverse Constellations From the Special Orthogonal Group

Locally Diverse Constellations From the Special Orthogonal Group

To optimize rotated multidimensional constellations over a single-input single-output Rayleigh fading channel, a family of rotation matrices is constructed for all dimensions which are a power of 2. This family is a one-parameter subgroup of the group of rotation matrices, and is located using a gradient descent scheme on this …