RC interconnect synthesis—a moment fitting approach
ICCAD '94 Proceedings of the 1994 IEEE/ACM international conference on Computer-aided design
Gradient-based optimization of custom circuits using a static-timing formulation
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Numerical Mathematics and Computing
Numerical Mathematics and Computing
Crystal: a Timing Analyzer for nMOS VLSI Circuits
Crystal: a Timing Analyzer for nMOS VLSI Circuits
Sensitivity-Based Gate Delay Propagation in Static Timing Analysis
ISQED '05 Proceedings of the 6th International Symposium on Quality of Electronic Design
Timing analysis of computer hardware
IBM Journal of Research and Development
Numerical Simulation and Modelling of Electronic and Biochemical Systems
Foundations and Trends in Electronic Design Automation
A sequential quadratic programming approach to concurrent gate and wire sizing
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Asymptotic waveform evaluation for timing analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Computing signal delay in general RC networks by tree/link partitioning
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Sensitivity computation in piecewise approximate circuit simulation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Signal Delay in General RC Networks
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Transient Sensitivity Computation for MOSFET Circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Transient waveform sensitivities are useful in optimization and also provide direct insight into system metrics such as delay. We present a novel method for finding parametric waveform sensitivities that improves upon current transient adjoint methods, which suffer from quadratic complexity, by applying barycentric Lagrange interpolation to reduce computation to near linear in the time-interval of interest. We apply our technique to find sensitivities of a "nonlinear" Elmore-delay like metric in digital logic and biochemical pathway examples. Our technique achieves order-of-magnitude speedups over traditional adjoint and direct sensitivity computation.