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.

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Keywords Differential algebraic equations (DAEs), nonlinear circuits, polynomial chaos (PC), stochastic processes, variability analysis
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Journal IEEE Transactions on Components, Packaging and Manufacturing Technology
Rufuie, M.R. (Mehrdad Rahimzadeh), Gad, E. (Emad), Nakhla, M.S, & Achar, R. (2014). Generalized hermite polynomial chaos for variability analysis of macromodels embeddedin nonlinear circuits. IEEE Transactions on Components, Packaging and Manufacturing Technology, 4(4), 673–684. doi:10.1109/TCPMT.2013.2285877