Delay Estimation and Sizing of CMOS Logic Using Logical Effort With Slope Correction

This brief presents an improved logical-effort model to account for the slope mismatch between the input and output of a gate. The model has a simple formulation in which only one additional parameter is needed, making the analysis suitable for hand calculations. Using 65- and 90-nm complementary metal-oxide-semiconductor technologies, the model maintains less than 5% error in gate-delay estimations compared to Spectre simulations even under large variations between the input and output slopes. Using this model, a circuit optimization tool is written to optimize an adder synthesized with a 65-nm standard-cell library. The estimation error for the adder is also within the modeling accuracy of 5%, whereas the original logical-effort model and the synthesis timing libraries have errors of up to 40% and 20%, respectively.

[1]  Asim J. Al-Khalili,et al.  Delay analysis of CMOS gates using modified logical effort model , 2005, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[2]  Dejan Markovic,et al.  Power and Area Minimization for Multidimensional Signal Processing , 2007, IEEE Journal of Solid-State Circuits.

[3]  Kaushik Roy,et al.  Slope Interconnect Effort: Gate-Interconnect Interdependent Delay Modeling for Early CMOS Circuit Simulation , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Robin Wilson,et al.  Logical effort model extension to propagation delay representation , 2006, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[5]  A. R. Newton,et al.  Alpha-power law MOSFET model and its applications to CMOS inverter delay and other formulas , 1990 .

[6]  Sachin S. Sapatnekar,et al.  Technology Mapping Using Logical Effort for Solving the Load-Distribution Problem , 2008, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[7]  William W. Walker,et al.  An efficient transistor optimizer for custom circuits , 2003, Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03..

[8]  R.W. Brodersen,et al.  Methods for true energy-performance optimization , 2004, IEEE Journal of Solid-State Circuits.

[9]  Paul D. Franzon,et al.  Energy control and accurate delay estimation in the design of CMOS buffers , 1994 .

[10]  L.W. Linholm,et al.  An optimized output stage for MOS integrated circuits , 1975, IEEE Journal of Solid-State Circuits.