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.
|Conference||18th IEEE Workshop on Signal and Power Integrity, SPI 2014|
Rufuie, M.R. (Mehrdad Rahimzadeh), Gad, E. (Emad), Nakhla, M.S, Achar, R, & Farhan, M. (Mina). (2014). Fast variability analysis of general nonlinear circuits using decoupled polynomial chaos. In 2014 18th IEEE Workshop on Signal and Power Integrity, SPI 2014 - Proceedings. doi:10.1109/SaPIW.2014.6844543