The Elmore delay as bound for RC trees with generalized input signals
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
SIAM Review
Semidefinite programming in combinatorial optimization
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
PRIMA: passive reduced-order interconnect macromodeling algorithm
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Estimation of maximum current envelope for power bus analysis and design
ISPD '98 Proceedings of the 1998 international symposium on Physical design
Hierarchical analysis of power distribution networks
Proceedings of the 37th Annual Design Automation Conference
Decoupling capacitance allocation for power supply noise suppression
Proceedings of the 2001 international symposium on Physical design
An algorithm for optimal decoupling capacitor sizing and placement for standard cell layouts
Proceedings of the 2002 international symposium on Physical design
Simulation and optimization of the power distribution network in VLSI circuits
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Frequency domain analysis of switching noise on power supply network
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Random walks in a supply network
Proceedings of the 40th annual Design Automation Conference
Decoupling capacitors for multi-voltage power distribution systems
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Optimizing dominant time constant in RC circuits
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Equivalent Elmore delay for RLC trees
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A multigrid-like technique for power grid analysis
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A high density, carbon nanotube capacitor for decoupling applications
Proceedings of the 43rd annual Design Automation Conference
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Effective decap insertion in area-array SoC floorplan design
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Decoupling capacitance efficient placement for reducing transient power supply noise
Proceedings of the 2009 International Conference on Computer-Aided Design
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Achieving P/G supply signal integrity is crucial to success of nanometer VLSI designs. Existing P/G network optimization techniques are dominated by sensitivity based approaches. In this paper, we propose two novel convex programming based approaches for decoupling capacitor insertion in a P/G network, i.e., a semidefinite program and a linear program, which are global optimizations with theoretically guaranteed supply voltage degradation bounds. We also propose a scalability improvement scheme which enables us to apply the proposed convex programs to industry designs. We present a simple illustrative example and experimental results on an industry design, which show that the proposed semidefinite program guarantees supply voltage degradation bound for all possible supply current sources, while the proposed linear program achieves the most accurate supply voltage degradation control for a given set of supply current sources.