The design and analysis of VLSI circuits
The design and analysis of VLSI circuits
Principles of CMOS VLSI design: a systems perspective
Principles of CMOS VLSI design: a systems perspective
Optimal wire-sizing formula under the Elmore delay model
DAC '96 Proceedings of the 33rd annual Design Automation Conference
Optimal non-uniform wire-sizing under the Elmore delay model
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
Optimal wiresizing under the distributed Elmore delay model
ICCAD '93 Proceedings of the 1993 IEEE/ACM international conference on Computer-aided design
Algorithms and Techniques for VLSI Layout and Synthesis
Algorithms and Techniques for VLSI Layout and Synthesis
Optimal wire-sizing function with fringing capacitance consideration
DAC '97 Proceedings of the 34th annual Design Automation Conference
A new approach to simultaneous buffer insertion and wire sizing
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Optimal shape function for a bi-directional wire under Elmore delay model
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Shaping a VLSI wire to minimize delay using transmission line model
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
A polynomial time optimal algorithm for simultaneous buffer and wire sizing
Proceedings of the conference on Design, automation and test in Europe
Closed form solutions to simultaneous buffer insertion/sizing and wire sizing
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Wire sizing with scattering effect for nanoscale interconnection
ASP-DAC '06 Proceedings of the 2006 Asia and South Pacific Design Automation Conference
Design and verification of high-speed VLSI physical design
Journal of Computer Science and Technology
The coming of age of physical synthesis
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Three-dimensional Integrated Circuit Design
Three-dimensional Integrated Circuit Design
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Euler's differential equation of the calculus of variations is used to determine the shape of a VLSI wire that minimizes Elmore delay. The solution is given as a power series whose coefficients are formulas involving the load-end wire width, the load capacitance, the capacitance per unit area, and the capacitance per unit perimeter. In contrast to an optimal-width rectangular wire, the RC Elmore delay of the optimally tapered wire goes to zero as the driver resistance goes to zero. The optimal taper is immune, to first order, to process variations affecting wire width.