English

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

Mathematical Physics 2014-04-14 v2 math.MP

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 σ\sigma-form of Painlev\'e V. We also present a representation involving a non-linear second order difference equation.

Keywords

Cite

@article{arxiv.1303.0773,
  title  = {Perturbed Laguerre Unitary Ensembles, Painlev\'e V and Information Theory},
  author = {Estelle Basor and Yang Chen and Matthew R. McKay},
  journal= {arXiv preprint arXiv:1303.0773},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1007.0496