Abstract
We discuss the difficulties of circuit sizing and describe manual and automatic approaches to it. These approaches make use of blackbox optimization techniques such as evolutionary algorithms or convex optimization techniques such as geometric programming. Geometric programming requires posynomial expressions for a circuit’s performance measurements. We show how a genetic algorithm can be exploited to evolve a posynomial expression (i.e. model) of transistor (i.e. mosfet) behavior more accurately than statistical techniques in the literature.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Botelho, J., Leonardo, B., Vieira, P., and Mesquita, A. (2003). An experiment on nonlinear synthesis using evolutionary techniques based only on CMOS transistors. In Lohn, J., Zebulum, R., Steincamp, J., Keymeulen, D., Stoica, A., and Ferguson, M.I., editors, 2003 NASA/DoD Conference on Evolvable Hardware, pages 50–58. IEEE Computer Society.
Boyd, S., Kim, S.-J., Vaudenberghe, L., and Hassibi, A. (2004). A tutorial on geometric programming. In Technical report, EE Department, Stanford University.
Colleran, D.M., Portmann, C., Hassibi, A., Crusius, C., Mohan, S.S., Boyd, S.P., Lee, T. H., and Hershenson, M. (2003). Optimization of phase-locked loop circuits via geometric programming. In IEEE Custom Integrated Circuits Conference, pages 377–380.
Daems, W. and Gielen, G.C.E. (2003). Simulation-based generation of posynomial performance models for the sizing of analog integrated circuits. Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions, 22(5):517–534.
De Smedt, B. and Gielen, G.C.E. (2003). WATSON: Design space boundary exploration and model generation for analog and rf ic design. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 22(2):213–224.
Gielen, G.C.E., Swings, K., and Sansen, W. (1990). An intelligent design system for analogue integrated circuits. In EURO-DAC’ 90: Proceedings of the conference on European design automation, pages 169–173, Los Alamitos, CA, USA. IEEE Computer Society Press.
Grimbleby, J.B. (2000). Automatic analogue circuit synthesis using genetic algorithms. IEE Proceedings Circuits, Devices and Systems, 147(6):319–323.
Hershenson, M., Boyd, S. P., and Lee, T. (November 1998). GPCAD: A tool for CMOS op-amp synthesis. In Proc. International Conference on Computer Aided Design, pages 296–303. IEEE/ACM.
Hershenson, M., Mohan, S. S., Boyd, S. P., and Lee, T. H. (1999). Optimization of inductor circuits via geometric programming. In DAC’ 99: Proceedings of the 36th ACM/IEEE conference on Design automation, pages 994–998, New York, NY, USA. ACM Press.
Kelton, W..D. (2000). Design of experiments: experimental design for simulation. In WSC’ 00: Proceedings of the 32nd conference on Winter simulation, pages 32–38, San Diego, CA, USA. Society for Computer Simulation International.
Koza, John R., Bennett III, Forrest H, Andre, David, Keane, Martin A., and Dunlap, Frank (1997). Automated synthesis of analog electrical circuits by means of genetic programming. IEEE Transactions on Evolutionary Computation, 1(2): 109–128.
Li, X., Gopalakrishnan, P., Xu, Y., and Pileggi, T. (2004). Robust analog/RF circuit design with projection-based posynomial modeling. In ICCAD’ 04: Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design, pages 855–862, Washington, DC, USA. IEEE Computer Society.
Mead, C. (1990). Neuromorphic electronic systems. 78(10): 1629–1636.
Pookaiyaudom, S. and Jantarang, S. (1996). Automatic circuit simplification for meaningful symbolic analysis using the genetic algorithm. In 1996 IEEE International Symposium on Circuits and Systems, volume 1, pages 109–112.
Quarles, T., Newton, A.R., Pederson, D.O., and Sangiovanni-Vincentelli, A. (1994). SPICE 3, version sf5 user’s manual.
Shibata, H., Mori, S., and Fujii, N. (2002). Automated design of analog circuits using cell-based structure. In Evolvable Hardware, pages 85–92. IEEE Computer Society.
Siarry, P., Berthiau, G., Durdin, F., and Haussy, J. (1997). Enhanced simulated annealing for globally minimizing functions of many-continuous variables. ACM Trans. Math. Softw., 23(2):209–228.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Aggarwal, V., O’Reilly, UM. (2007). Design of Posynomial Models for Mosfets: Symbolic Regression Using Genetic Algorithms. In: Riolo, R., Soule, T., Worzel, B. (eds) Genetic Programming Theory and Practice IV. Genetic and Evolutionary Computation. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-49650-4_14
Download citation
DOI: https://doi.org/10.1007/978-0-387-49650-4_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-33375-5
Online ISBN: 978-0-387-49650-4
eBook Packages: Computer ScienceComputer Science (R0)