Fast variability analysis of general nonlinear circuits using decoupled polynomial chaos

Author

Rufuie, Mehrdad Rahimzadeh ; Gad, Emad ; Nakhla, Michel ; Achar, Ramachandra ; Farhan, Mohammad

Author_Institution

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

fYear

2014

fDate

11-14 May 2014

Firstpage

1

Lastpage

4

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.

Keywords

Jacobian matrices; chaos; nonlinear network analysis; polynomial matrices; variational techniques; Hermite-based polynomial chaos; augmented Jacobian matrix; computational cost; decoupled polynomial chaos; general nonlinear circuits; independent diagonal blocks; random variables; variability analysis; Chaos; Jacobian matrices; Nonlinear circuits; Polynomials; Random variables; Transmission line matrix methods; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal and Power Integrity (SPI), 2014 IEEE 18th Workshop on

Conference_Location

Ghent

Type

conf

DOI

10.1109/SaPIW.2014.6844543

Filename

6844543