SPICE-based statistical assessment of interconnects terminated by nonlinear loads with polynomial characteristics

This paper proposes an exact formalism for the inclusion of nonlinear elements with polynomial I-V characteristic into the polynomial chaos framework for statistical circuit simulation, which was so far limited to linear circuits. The formulation is SPICE-compatible, thus allowing the convenient integration of such nonlinear elements into standard circuit solvers. This contribution represents a considerable step forward towards the inclusion of nonlinear terminations into the SPICE- and polynomial chaos-based statistical analysis of interconnects with stochastic parameters. The theory is illustrated and validated by means of an application example.