Signal Probability based Statistical Timing Analysis

Bao Liu
January 17, 2007

We observe that Monte Carlo (SPICE) simulation provides the most accurate and trustable statistical timing analysis, while the existing SSTA method has completely ignored the effect of input statistics on chip timing performance, and provides either accurate estimate nor pessimistic bound of the actual chip timing performance statistics. We propose signal probability (i.e., the logic one occurrence probability for a signal) based statistical timing analysis for improved accuracy and reduced pessimism over the existing SSTA methods, and improved efficiency over Monte Carlo (SPICE) simulation. Our experimental results show that our proposed SPSTA computes mean (standard deviation) of signal arrival times within 6.2% (18.6%), while SSTA computes mean (standard deviation) of signal arrival times within 13.40% (64.3%) of Monte Carlo simulation results; SPSTA also provides signal probaiblity estimation within 14.28% of Monte Carlo simulation results for the ISCAS'89 benchmark circuits.

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