NDLI: Stochastic Sparse-grid Collocation Algorithm (SSCA) for Periodic Steady-State Analysis of Nonlinear System with Process Variations

Content Provider	IEEE Xplore Digital Library
Author	Jim Tao Xuan Zeng Wei Cai Yangfeng Su Dian Zhou Charles Chiang
Copyright Year	2007
Description	Author affiliation: Dept.of Microelectron., Fudan Univ., Shanghai (Jim Tao; Xuan Zeng)
Abstract	In this paper, stochastic collocation algorithm combined with sparse grid technique (SSCA) is proposed to deal with the periodic steady-state analysis for nonlinear systems with process variations. Compared to the existing approaches, SSCA has several considerable merits. Firstly, compared with the moment-matching parameterized model order reduction (PMOR), which equally treats the circuit response on process variables and frequency parameter by Taylor approximation, SSCA employs homogeneous chaos to capture the impact of process variations with exponential convergence rate and adopts Fourier series or wavelet bases to model the steady-state behavior in time domain. Secondly, contrary to stochastic Galerkin algorithm (SGA), which is efficient for stochastic linear system analysis, the complexity of SSCA is much smaller than that of SGA for nonlinear case. Thirdly, different from efficient collocation method, the heuristic approach which may results in "rank deficient problem" and "Runge phenomenon", sparse grid technique is developed to select the collocation points in SSCA in order to reduce the complexity while guaranteing the approximation accuracy. Furthermore, though SSCA is proposed for the stochastic nonlinear steady-state analysis, it can be applied for any other kinds of nonlinear system simulation with process variations, such as transient analysis, etc.
Starting Page	474
Ending Page	479
File Size	228751
Page Count	6
File Format	PDF
ISBN	1424406293
DOI	10.1109/ASPDAC.2007.358031
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-01-23
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stochastic systems Steady-state Algorithm design and analysis Nonlinear systems Circuits Frequency Chaos Convergence Fourier series Wavelet domain
Content Type	Text
Resource Type	Article

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