2011
DOI: 10.1109/tcpmt.2011.2152403
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Parameters Variability Effects on Multiconductor Interconnects via Hermite Polynomial Chaos

Abstract: This paper focuses on the derivation of an enhanced transmission-line model allowing for the stochastic analysis of a realistic multiconductor interconnect. The proposed model, that is based on the expansion of the well-known telegraph equations in terms of orthogonal polynomials, includes the variability of geometrical or material properties of the interconnect due to uncertainties like fabrication process or temperature. A real application example involving the frequency-domain analysis of a coupled microstr… Show more

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Cited by 92 publications
(98 citation statements)
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“…Polynomial Chaos (PC) Method [8][9][10][11]: In this method, orthogonal polynomials are used to decompose the output over the entire random space. Arguments of these polynomials follow known probability density functions.…”
Section: Uncertainty Quantification: Deterministic and Stochasticmentioning
confidence: 99%
“…Polynomial Chaos (PC) Method [8][9][10][11]: In this method, orthogonal polynomials are used to decompose the output over the entire random space. Arguments of these polynomials follow known probability density functions.…”
Section: Uncertainty Quantification: Deterministic and Stochasticmentioning
confidence: 99%
“…However, for the sake of brevity, the formal development (consisting in the application of orthogonality relations to build higher dimensional polynomials as the product combination of polynomials in one variable) is omitted here and readers are referred to [8].…”
Section: Polynomial Chaos Primermentioning
confidence: 99%
“…Readers are referred to [8] for additional details on the formulation for multiple random variables.…”
Section: Stochastic Model For Distributed Linesmentioning
confidence: 99%
See 1 more Smart Citation
“…In PC-based approaches, a stochastic process is represented as a series of orthogonal polynomials with suitable coefficients. The PC methodology has been extensively applied to the variability analysis of linear systems, such as lumped elements circuits [9], [10], multiconductor transmission lines [11]- [13] and generic linear multiport systems [14]. Also, the PC methodology has been proposed for the variability analysis of nonlinear electronic circuits [15]- [18].…”
Section: Introductionmentioning
confidence: 99%