An application of universal polynomial chaos expansion to numerical stochastic simulations of an UWB EM wave propagation

摘要

In the paper a new form of universal polynomial chaos expansion, which was introduced in [1], is applied to numerical stochastic simulations of ultra-wideband electromagnetic wave propagation. It is assumed that stochastic parameters of a propagation scenario follow a Gauss distribution. The final coefficients of an expansion are analytical functions of a mean and a standard deviation of a stochastic variable (scenario parameter), which makes an expansion universal. The necessary initial coefficients have to be calculated numerically only once for a freely chosen values of polynomial basis parameters. Then these initial coefficients are used to calculate analytically the universal coefficients.