An explicit RC-circuit delay approximation based on the first three moments of the impulse response
DAC '96 Proceedings of the 33rd annual Design Automation Conference
PRIMO: probability interpretation of moments for delay calculation
DAC '98 Proceedings of the 35th annual Design Automation Conference
h-gamma: an RC delay metric based on a gamma distribution approximation of the homogeneous response
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
A delay metric for RC circuits based on the Weibull distribution
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
The Elmore delay as a bound for RC trees with generalized input signals
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
An analytical delay model for RLC interconnects
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
RC delay metrics for performance optimization
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Simple metrics for slew rate of RC circuits based on two circuit moments
Proceedings of the 40th annual Design Automation Conference
Piece-wise approximations of RLCK circuit responses using moment matching
Proceedings of the 42nd annual Design Automation Conference
Computation of signal threshold crossing times directly from higher order moments
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Variational Interconnect Delay Metrics for Statistical Timing Analysis
ISQED '06 Proceedings of the 7th International Symposium on Quality Electronic Design
Interconnect delay and slew metrics using the beta distribution
Proceedings of the Conference on Design, Automation and Test in Europe
High-performance gate sizing with a signoff timer
Proceedings of the International Conference on Computer-Aided Design
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Recent years have seen significant research in finding closed-form formulae for the delay of an RC circuit that improves upon the Elmore delay model. However, several of these formulae assume a step excitation, leaving it to the reader to find a suitable extension to ramp inputs. The few works that do consider ramp inputs do not present a closed-form formula that works for a wide range of possible input slews. We propose a new technique, PERI (Probability distribution function Extension for Ramp Inputs), that extends delay metrics for step inputs to the more general and realistic non-step (such as a saturated ramp) inputs. Although there has been little work done in finding good slew (which is also referred as signal transition time) metrics, we also show how one can extend a slew metric for step inputs to the non-step case. We validate the efficacy of our approach through experimental results from several hundred RC dominated nets extracted from an industry ASIC design.