Painleve functions and the Capacity of the Multi-Input-Multi-Out mode in Wireless Communications
Speaker:Prof. Yang Chen
Professor of Mathemathematical Physics
Department of Mathematics
Imperial College of London
Date & Time:24 Aug 2009 (Monday) 11:00
Venue:JG07

Abstract

In this talk Prof. Chen will discuss the capacity of MIMO channels in wireless communications in the ergodic case where the random channel matrix is Gaussian. The formalism of random matrix theory is then used to show that the generating function of the mutual entropy can be expressed in terms of a certain Painlev\'eI function. The derivation is based on this using the ladder operators formalism for orthogonal polynomials, developed by my collaborators, myself and others.