Title :
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
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;
Journal_Title :
Components, Packaging and Manufacturing Technology, IEEE Transactions on
DOI :
10.1109/TCPMT.2013.2285877