Generalized Hermite Polynomial Chaos for Variability Analysis of Macromodels Embeddedin Nonlinear Circuits

Author

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

Author_Institution

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

Volume

4

Issue

4

fYear

2014

fDate

Apr-14

Firstpage

673

Lastpage

684

Abstract

This paper describes a new approach to extend the variability analysis based on the polynomial chaos (PC) technique to nonlinear circuits. The proposed approach enables interconnects and package modules whose macromodels have their variability characterized using the PC, to be used in general nonlinear circuits. This allows the PC variability analysis to be performed directly in the time domain. The numerical examples are presented to demonstrate the validity and accuracy of the proposed method.

Keywords

integrated circuits; polynomials; time-varying networks; uncertainty handling; hermite polynomial chaos; interconnects modules; macromodels embedded; nonlinear circuits; package modules; time domain; variability analysis; Accuracy; Integrated circuit interconnections; Nonlinear circuits; Polynomials; Stochastic processes; Vectors; Differential algebraic equations (DAEs); nonlinear circuits; polynomial chaos (PC); stochastic processes; 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.2013.2285877

Filename

6651812