Optimal wiresizing for interconnects with multiple sources
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Optimal wire-sizing formula under the Elmore delay model
DAC '96 Proceedings of the 33rd annual Design Automation Conference
Performance optimization of VLSI interconnect layout
Integration, the VLSI Journal
Optimal wire-sizing function with fringing capacitance consideration
DAC '97 Proceedings of the 34th annual Design Automation Conference
Shaping a VLSI Wire to Minimize Elmore Delay
EDTC '97 Proceedings of the 1997 European conference on Design and Test
Shaping a VLSI wire to minimize delay using transmission line model
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Wire-sizing for delay minimization and ringing control using transmission line model
DATE '00 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)
A decoupling method for analysis of coupled RLC interconnects
Proceedings of the 12th ACM Great Lakes symposium on VLSI
Design and verification of high-speed VLSI physical design
Journal of Computer Science and Technology
Wire shaping of RLC interconnects
Integration, the VLSI Journal
Self-heating-aware optimal wire sizing under Elmore delay model
Proceedings of the conference on Design, automation and test in Europe
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In this paper, we determine the optimal shape function for a bi-directional wire under the Elmore delay model. Given a bi-directional wire of length L, let f(x) be the width of the wire at position x, 0\leq x \leq L. Let T_{DR} be the right-to-left delay. Let T_{DL} be the left-to-right delay. Let T_{BD}=\alpha T_{DR}+\beta T_{DL} be the total weighted delay where \alpha\geq 0 and \beta\geq 0 are given weights such that \alpha+\beta=1. We determine f(x) so that T_{BD} is minimized. Our study shows that, if \alpha=\beta, the optimal shape function is f(x)=c, for some constant c; if \alpha\neq \beta, the optimal shape function can be expressed in terms of the Lambert's W function as f(x)=-\frac{c_f}{2c_0}(\frac{1}{W(-ae^{-bx})}+1), where c_f is the unit length fringing capacitance, c_0 is the unit area capacitance, a and b are constants in terms of the given circuit parameters. If \alpha=0 or \beta=0, our result gives the optimal shape function for a uni-directional wire.