Robust analytical gate delay modeling for low voltage circuits
ASP-DAC '06 Proceedings of the 2006 Asia and South Pacific Design Automation Conference
Proceedings of the 43rd annual Design Automation Conference
Fast interval-valued statistical modeling of interconnect and effective capacitance
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Asymptotic Probability Extraction for Nonnormal Performance Distributions
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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This paper presents a novel arithmetic which allows calculations with fluctuating values. The arithmetic consists of a special representation of random variables and procedures for performing numerical operations between them. Given the distributions of initial random variables, the moments (such as expected value, variance and higher moments) of any calculated variable can be determined. Our approach is not limited to normal distributions and works with linear and nonlinear functions. Correlations between variables are taken into account automatically by the arithmetic. Examples show the accuracy and runtimes compared to Monte Carlo simulation.