Fast Variability Analysis of General Nonlinear Circuits Using Decoupled Polynomial Chaos

Author

Rufuie, Mehrdad Rahimzadeh ; Gad, Emad ; Nakhla, Michel S. ; Achar, Ramachandra

Author_Institution

Dept. of Electron., Carleton Univ., Ottawa, ON, Canada

Volume

5

Issue

12

fYear

2015

Firstpage

1860

Lastpage

1871

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.

Keywords

Jacobian matrices; chaos; nonlinear network analysis; polynomials; random processes; Hermite-based polynomial chaos; PC; augmented Jacobian matrix; decoupled polynomial chaos; fast variability analysis; general nonlinear circuit; independent diagonal block decoupling; Computational complexity; Jacobian matrices; Nonlinear circuits; Polynomials; Random variables; Time-domain analysis; Nonlinear Circuits; Polynomial Chaos; Process Variations; Time-Domain Analysis; Uncertainty Quantification; Variability Analysis; Variability Analysis.;

fLanguage

English

Journal_Title

Components, Packaging and Manufacturing Technology, IEEE Transactions on

Publisher

ieee

ISSN

2156-3950

Type

jour

DOI

10.1109/TCPMT.2015.2490240

Filename

7329986