Fast Variability Analysis of General Nonlinear Circuits Using Decoupled Polynomial Chaos

Mehrdad Rahimzadeh Rufuie · Emad Gad · Michel S. Nakhla · Ramachandra Achar

8 citations0/0 files storedIEEE Transactions on Components Packaging and Manufacturing Technology

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Probabilistic and Robust Engineering Design Low-power high-performance VLSI design VLSI and Analog Circuit Testing

Abstract

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 showing that this structure can be approximated with a different structure that can be decoupled into independent diagonal blocks.

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design 2013Stochastic Testing Method for Transistor-Level Uncertainty Quantification Based on Generalized Polynomial Chaos 2006Modeling multibody systems with uncertainties. Part II: Numerical applications 2011Stochastic Analysis of Multiconductor Cables and Interconnects 2012Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion 2006Hermite Polynomial Based Interconnect Analysis in the Presence of Process Variations 2010ASSESSMENT OF COLLOCATION AND GALERKIN APPROACHES TO LINEAR DIFFUSION EQUATIONS WITH RANDOM DATA

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