Generalized Hermite Polynomial Chaos for Variability Analysis of Macromodels Embeddedin Nonlinear Circuits

Abstract

This paper describes a new approach to extend the variability analysis based on the polynomial chaos (PC) technique to nonlinear circuits. The proposed approach enables interconnects and package modules whose macromodels have their variability characterized using the PC, to be used in general nonlinear circuits. This allows the PC variability analysis to be performed directly in the time domain. The numerical examples are presented to demonstrate the validity and accuracy of the proposed method.