Statistical Timing Analysis Considering Spatially and Temporally Correlated Dynamic Power Supply Noise

Power supply noise is having increasingly more influence on timing, even though noise-aware timing analysis has not yet been fully established, because of several difficulties such as its dependence on input vectors and dynamic behavior. This paper proposes static timing analysis that takes power supply noise into consideration where the dependence of noise on input vectors and spatial and temporal correlations are handled statistically. We construct a statistical model of power supply voltage that dynamically varies with spatial and temporal correlation, and represent it as a set of uncorrelated variables. We demonstrate that power-voltage variations are highly correlated and adopting principal component analysis as an orthogonalization technique can effectively reduce the number of variables. Experiments confirmed the validity of our model and the accuracy of timing analysis. We also discuss the accuracy and CPU time in association with the reduced number of variables.