Stochastic Macromodeling of Nonlinear Systems Via Polynomial Chaos Expansion and Transfer Function Trajectories

Author

Spina, Davide ; De Jonghe, Dimitri ; Deschrijver, Dirk ; Gielen, G. ; Knockaert, Luc ; Dhaene, Tom

Author_Institution

Dept. of Inf. Technol., Ghent Univ., Ghent, Belgium

Volume

62

Issue

7

fYear

2014

fDate

Jul-14

Firstpage

1454

Lastpage

1460

Abstract

A novel approach is presented to perform stochastic variability analysis of nonlinear systems. The versatility of the method makes it suitable for the analysis of complex nonlinear electronic systems. The proposed technique is a variation-aware extension of the Transfer Function Trajectory method by means of the Polynomial Chaos expansion. The accuracy with respect to the classical Monte Carlo analysis is verified by means of a relevant numerical example showing a simulation speedup of 1777×.

Keywords

Monte Carlo methods; chaos; integrated circuit modelling; nonlinear systems; polynomial approximation; transfer functions; Monte Carlo analysis; complex nonlinear electronic systems; nonlinear systems; polynomial chaos expansion; stochastic macromodeling; stochastic variability analysis; transfer function trajectories; Analytical models; Computational modeling; Integrated circuit modeling; Nonlinear systems; Numerical models; Stochastic processes; Thin film transistors; Nonlinear systems; polynomial chaos (PC); transfer function trajectories (TFTs); variability analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2014.2327100

Filename

6827259