Generalized polynomial chaos paradigms to model uncertainty in wireless links

Abstract

Abstract-A stochastic framework is proposed to evaluate the effect of random effects on the overall performance of wireless links. A generalized polynomial chaos expansion is leveraged to relate the uncertainties in antenna geometry, orientation and position to the figures of merit characterizing the link. The stochastic testing procedure is proposed as a more efficient alternative to stochastic collocation, for a large number of random variables. The non-intrusive statistical framework is applied to evaluate the uncertainty on the efficiency of a wireless power transfer system.

Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits

“…Moreover, a decoupling procedure applied inside the intrusive solver makes the stochastic testing method computationally more efficient than Galerkin-based approaches [38,58]. A nonintrusive formulation of the stochastic testing approach has been presented in [59], while in [78], the stochastic testing method is applied to evaluate the performance of a wireless links under the influence of a large number of random variables in a nonintrusive manner.…”