Matrix analysis
Circuit analysis, simulation, and design: general aspects of circuit analysis and design
Circuit analysis, simulation, and design: general aspects of circuit analysis and design
On Finding the Maxima of a Set of Vectors
Journal of the ACM (JACM)
KSim: a stable and efficient RKC simulator for capturing on-chip inductance effect
Proceedings of the 2001 Asia and South Pacific Design Automation Conference
Analysis and Optimization of Power Grids
IEEE Design & Test
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
ISQED '05 Proceedings of the 6th International Symposium on Quality of Electronic Design
Power grid voltage integrity verification
ISLPED '05 Proceedings of the 2005 international symposium on Low power electronics and design
Precise identification of the worst-case voltage drop conditions in power grid verification
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
Handling inductance in early power grid verification
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
A geometric approach for early power grid verification using current constraints
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
A Monte Carlo approach for maximum power estimation based on extreme value theory
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Early-stage power grid analysis for uncertain working modes
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Vectorless verification of RLC power grids with transient current constraints
Proceedings of the International Conference on Computer-Aided Design
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Validating the robustness of power distribution in modern IC design is a crucial but very difficult problem, due to the vast number of possible working modes and the high operating frequencies which necessitate the modeling of power grid as a general RLC network. In this paper we provide a characterization of the worst-case current waveform excitations that produce the maximum voltage drop among all possible working modes of the IC. In addition, we give a practical methodology to estimate these worst-case excitations on the basis of a sample of the excitation space acquired via plain circuit simulation. In the course of characterizing the worst-case excitations we also establish that the voltage drop function for RLC grid models has nonnegative coefficients, which has been an open problem so far.