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Achievable Rates of Multidimensional Multisphere Distributions

01 June 2017

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The maximum achievable rate or mutual information of multidimensional multisphere distributions in arbitrary dimensions in the presence of additive white Gaussian noise is derived. At high signal-to-noise ratios, 4-dimensional multisphere constellations offer higher achievable rates than 2-dimensional ones transmitted on each of the two polarizations of the optical carrier.