Multi-level logic optimization by implication analysis
ICCAD '94 Proceedings of the 1994 IEEE/ACM international conference on Computer-aided design
Digital sensitivity: predicting signal interaction using functional analysis
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
Global harmony: coupled noise analysis for full-chip RC interconnect networks
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Getting to the bottom of deep submicron
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Determination of worst-case aggressor alignment for delay calculation
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
On-chip inductance modeling and analysis
Proceedings of the 37th Annual Design Automation Conference
ClariNet: a noise analysis tool for deep submicron design
Proceedings of the 37th Annual Design Automation Conference
TACO: timing analysis with coupling
Proceedings of the 37th Annual Design Automation Conference
Towards true crosstalk noise analysis
ICCAD '99 Proceedings of the 1999 IEEE/ACM international conference on Computer-aided design
Timing analysis with crosstalk as fixpoints on complete lattice
Proceedings of the 38th annual Design Automation Conference
Driver modeling and alignment for worst-case delay noise
Proceedings of the 38th annual Design Automation Conference
Estimation of the likelihood of capacitive coupling noise
Proceedings of the 39th annual Design Automation Conference
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Statistical modeling of cross-coupling effects in VLSI interconnects
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
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Delay due to capacitive coupling of interconnects has become an important reliability issue in the design of nanometer circuits. In this paper we present a probabilistic approach towards analyzing the impact of capacitive coupling noise on signal delay. The variation in the delay is due to the variation in the relative arrival times of the aggressors and the victim. We derive expressions for the moments of the victim voltage in the presence of noise. From these we compute estimates of the earliest and latest possible arrival times of the victim. We compare the analytical results with Monte Carlo simulations using SPICE. Even though the analytical calculations are 200 times faster than the Monte Carlo simulations, the differences in the estimates of the mean and standard deviation of the arrival time is no more than 2.8%. In addition, the width of the timing intervals using the proposed approach is reduced by as much as 48% with a confidence level of 0.984. That is 98.4% of the Monte Carlo simulations result in an arrival time that falls within the derived interval which is 48% shorter.