Abstract
In this work we are sizing the transistors of an CMOS Miller amplifier. More precisely, we are addressing the bi-objective problem of maximizing the DC gain and minimizing the current supply of Miller’s amplifier. As we consider a bi-objective problem we get a set of solutions, instead of a single one. Next, we study three schemes to select one or several of those solutions, based on the ones with greater tolerances to variations in the circuit elements, or with lowest sensitivities, or with lowest statistical variations using Monte Carlo method. Also, it is possible to include this tolerance analysis in the optimization loop by adding an objective to the given optimization problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Arslan, E., Metin, B., Cicekoglu, O.: MOSFET-only multi-function biquad filter. AEU-Int. J. Electron. Commun. 69(12), 7–10 (2015). doi:10.1016/j.aeue.2015.07.018
Deb, K., Gupta, H.: Searching for robust Pareto-optimal solutions in multi-objective optimization. EMO 2005. LNCS, vol. 3410, pp. 150–165 (2005)
Deb, K., Pratap, A., Agarwal, S.: A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Ehrgott, M., Ide, J., Schöbel, A.: Minmax robustness for multi-objective optimization problems. Eur. J. Oper. Res. 23, 17–31 (2014)
Gray, P., Hurst, P.: Analysis and Design of Analog Integrated Circuits, 5th edn. Wiley, New York (2009)
Guerra-Gómez, I., Tlelo-Cuautle, E., de la Fraga, L.: Sensitivity analysis in the optimal sizing of analog ICs by evolutionary algorithms. In: 2013 IEEE Congress on Evolutionary Computation, pp. 3161–3165 (2013)
Jourdan, L., Schütze, O., Legrand, L., Talbi, E.G., Wojkiewicz, J.L.: An analysis of the effect of multiple layers in the multi-objective design of conducting polymer composites. Mater. Manuf. Process. 24(1), 1–8 (2009)
Martens, E., Gielsen, G.: Classification of analog synthesis tools based on their architecture selection mechanims. Integr. VLSI J. 41(2), 238–252 (2008)
Mattusini, C., Floredano, D.: Analog genetic encoding for the evolution of circuits and networks. IEEE Trans. Evol. Comput. 11(5), 596–607 (2007)
Ngspice, Ngspice is a mixed-level/mixed-signal circuit simulator based on open source software packages. http://ngspice.sourceforge.net/, 9 Jun 2016
Oliveira Weber, T., Van Noije, W.: Analog circuit synthesis performing fast Pareto frontier exploration and analysis through 3d graphs. Analog Integr. Circuits Signal Process. 73, 861–871 (2012)
Schütze, O., Jourdan, L., Legrand, T., Talbi, E.G., Wojkiewicz, J.L.: New analysis of the optimization of electromagnetic shielding properties using conducting polymers by a multi-objective approach. Polym. Adv. Technol. 40(5), 383–402 (2008)
Tlelo Cuautle, E., Rodriguez Chavez, S.: Graph-based symbolic technique for improving sensitivity analysis in analog integrated circuits. IEEE Lat. Am. Trans. (Revista IEEE America Latina) 12(5), 871–876 (2014). doi:10.1109/TLA.2014.6872898
Witting, K., Ober-Blöbaum, S., Dellnitz, M.: A variational approach to define robustness for parametric multiobjective optimization problems. J. Glob. Optim. 57, 331–345 (2013). doi:10.1007/s10898-012-9972-6
Zhang, H., Sanchez-Sinencio, E.: Linearization techniques for CMOS low noise amplifiers: a tutorial. IEEE Trans. Circuits Syst. I-Regul. Pap. 58(1), 22–36 (2011). doi:10.1109/TCSI.2010.2055353
Acknowledgments
This work is partially supported by CONACyT/Mexico under projects no. 168357 and 237991.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
de la Fraga, L.G., Guerra-Gomez, I., Tlelo-Cuautle, E. (2017). On the Selection of Solutions in Multiobjective Analog Circuit Design. In: Schütze, O., Trujillo, L., Legrand, P., Maldonado, Y. (eds) NEO 2015. Studies in Computational Intelligence, vol 663. Springer, Cham. https://doi.org/10.1007/978-3-319-44003-3_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-44003-3_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-44002-6
Online ISBN: 978-3-319-44003-3
eBook Packages: EngineeringEngineering (R0)