New Analytical PCE Coefficients for Uncertainty Quantification in Ray-Tracing Modeling

Ray-tracing simulations of stochastic electromagnetic fields are considered in the paper. The author uses polynomial chaos expansion (PCE) coefficients for uncertainty quantification. The author introduces the new effective method, in terms of accuracy and calculation speed, for analytical derivation of PCE coefficients in ray-tracing modelling. The analytical PCE coefficients can be recalculated very fast when it is necessary to change probability densities of random variables of a simulation. A ray-tracing simulation of exemplary indoor scenario is used to compare the new method with general polynomial chaos (gPC) approach which requires numerical calculation of PCE coefficients for each set of probability densities of simulation random variables.