Logical effort: designing fast CMOS circuits
Logical effort: designing fast CMOS circuits
Gate sizing using Lagrangian relaxation combined with a fast gradient-based pre-processing step
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
A Parallel Algorithm for the Efficient Solution of a General Class of Recurrence Equations
IEEE Transactions on Computers
IBM Journal of Research and Development
Comparison of high-performance VLSI adders in the energy-delay space
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Fast and exact simultaneous gate and wire sizing by Lagrangian relaxation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Exploration of energy & delay trade-offs requires a sizing solution for minimal energy under operating delay and output load constraints. In this work, a simple method called Constant Stage Effort Ratio (CSER) is proposed for minimal energy solution of digital circuits with a given target delay. The proposed method has a linear run-time dependence on the number of logic gates that is exponential for the optimal solution. As sample cases, the proposed algorithm is applied to parallel VLSI adders with varying bit-widths at 65nm CMOS technology. CSER sizing algorithm provides more than 300× run-time improvement compared to energy optimal solution with a worst case difference of 10% in energy for a 128-bits Kogge-Stone adder.