Articlegreen2012

Variability Analysis of Multiport Systems Via Polynomial-Chaos Expansion

Domenico Spina · Francesco Ferranti · Tom Dhaene · Luc F. Knockaert · Giulio Antonini · Dries Vande Ginste

94 citations0/0 files storedIEEE Transactions on Microwave Theory and Techniques

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Probabilistic and Robust Engineering Design Microwave Engineering and Waveguides Electromagnetic Simulation and Numerical Methods

Abstract

We present a novel technique to perform variability analysis of multiport systems. The versatility of the proposed technique makes it suitable for the analysis of different types of modern electrical systems (e.g., interconnections, filters, connectors). The proposed method, based on the calculation of a set of univariate macromodels and on the use of the polynomial chaos expansion, produces a macromodel of the transfer function of the multiport system including its statistical properties. The accuracy and the significant speed up with respect to the classical Monte Carlo analysis are verified by means of two numerical examples.

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References

2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 1986Structural Reliability under Incomplete Probability Information 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure 2009Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design 2006Modeling Arbitrary Uncertainties Using Gram-Schmidt Polynomial Chaos 2011Stochastic Analysis of Multiconductor Cables and Interconnects 2011Parameters Variability Effects on Multiconductor Interconnects via Hermite Polynomial Chaos 2012Stochastic Modeling-Based Variability Analysis of On-Chip Interconnects

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2017Stochastic transmission line analysis via polynomial chaos methods: an overview 2013Generalized Hermite Polynomial Chaos for Variability Analysis of Macromodels Embeddedin Nonlinear Circuits 2014Decoupled Polynomial Chaos and Its Applications to Statistical Analysis of High-Speed Interconnects 2017Measurement Uncertainty Propagation in Transistor Model Parameters via Polynomial Chaos Expansion

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