A new approach to polynomial chaos expansion for stochastic analysis of EM wave propagation in an UWB channel

Abstract

In the paper we present a new universal approach to stochastic simulation of electromagnetic (EM) wave propagation in an ultra-wideband (UWB) channel. We describe and verify our new approach for the case of a diffraction on a convex obstacle, while the approach can applied to any other EM wave propagation phenomenon. We deal with a circular cylinder model of a convex obstacle and uniform theory of diffraction (UTD) which can be effectively used in an asymptotic prediction of EM propagation on convex obstacles. We take advantage of polynomial chaos expansion for statistical analysis. We choose orthonormal basis of Jacobi polynomials as it corresponds to propagation scenario variables that follow Beta stochastic distribution, which is in our opinion the most universal one as it can model Gauss distribution as well as an uniform distribution in a desired variable range.