Fast variability analysis of general nonlinear circuits using decoupled polynomial chaos

This paper presents a new approach aimed at limiting the growth of the computational cost of variability analysis, of nonlinear circuits, using the Hermite-based Polynomial Chaos (PC), with the increase in the number of random variables. The proposed technique is based on deriving a closed-form formula for the structure of the augmented Jacobian matrix generated by the PC approach, and then shows that this structure can be approximated with a different structure that can be decoupled into independent diagonal blocks.