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Fast variability analysis of general nonlinear circuits using decoupled polynomial chaos

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

12 citations0/0 files storedIEEE Workshop on Signal and Power Integrity

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

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 shows 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 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 2013Generalized Hermite Polynomial Chaos for Variability Analysis of Macromodels Embeddedin Nonlinear Circuits 2013Variability Analysis of Interconnects Terminated by General Nonlinear Loads

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2016A big-data approach to handle process variations: Uncertainty quantification by tensor recovery 2015Fast Variability Analysis of General Nonlinear Circuits Using Decoupled Polynomial Chaos

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