The use of unscented transforms in modeling the statistical response of nonlinear scatterer in a reverberation chamber

The use of the Unscented Transform technique for the estimation of the statistical response of a nonlinear EUT in a reverberating chamber is examined. The method involves choosing a few selected discrete points (sigma points) to approximate the probability distribution of random functions within the system. The field distribution within a reverberation chamber is represented by a Rayleigh distribution. The method for choosing the sigma points for a Rayleigh distribution is described and the results are compared with Monte Carlo simulations and analytical solutions of scattering from a nonlinear device. It is shown that the unscented transform technique is far more accurate and efficient than the Monte Carlo approach.