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arXiv · 1303.0773

Perturbed Laguerre Unitary Ensembles, Painlev\'e V and Information Theory

Estelle Basor·Yang Chen·Matthew R. McKay
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Abstract

In this review, we investigate a key information-theoretic performance metric in multiple-antenna wireless communications, the so-called outage probability. This quantity may be expressed in terms of a moment generating function, for which we present two separate integral representations, one involving a particular $\sigma$-form of Painlev\'e V. We also present a representation involving a non-linear second order difference equation.

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Estelle Basor, Yang Chen, Matthew R. McKay. 2013-03-04. Perturbed Laguerre Unitary Ensembles, Painlev\'e V and Information Theory. https://arxiv.org/abs/1303.0773

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