Title :
Efficient Uncertainty Quantification for the Periodic Steady State of Forced and Autonomous Circuits
Author :
Zheng Zhang ; El-Moselhy, Tarek A. ; Maffezzoni, Paolo ; Elfadel, Ibrahim M. ; Daniel, Luca
Author_Institution :
Massachusetts Inst. of Technol., Cambridge, MA, USA
Abstract :
This brief proposes an uncertainty quantification method for the periodic steady-state (PSS) analysis with both Gaussian and non-Gaussian variations. Our stochastic testing formulation for the PSS problem provides superior efficiency over both Monte Carlo methods and existing spectral methods. The numerical implementation of a stochastic shooting Newton solver is presented for both forced and autonomous circuits. Simulation results on some analog/RF circuits are reported to show the effectiveness of our proposed algorithms.
Keywords :
Monte Carlo methods; analogue integrated circuits; radiofrequency integrated circuits; stochastic systems; Monte Carlo methods; PSS analysis; analog-RF circuits; autonomous circuits; forced circuits; nonGaussian variations; periodic steady state; stochastic shooting Newton solver; stochastic testing formulation; uncertainty quantification; Equations; Jacobian matrices; Mathematical model; Oscillators; Steady-state; Testing; Uncertainty; Circuit simulation; periodic steady state; stochastic testing (ST); uncertainty quantification (UQ);
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2013.2278110