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Optimized sizing of analog circuits using the interior-point method for nonconvex nonlinear functions under MATLAB

Published:30 August 2011Publication History

ABSTRACT

This paper presents an application of the Interior-Point method of optimization to the design of a CMOS analog integrated circuit. We have chosen the minimum voltage log-domain Seevinck's integrator, where devices operate in weak inversion, so that model equations, required bias conditions and circuit architecture lead to nonposynomial general equations and restrictions that are represented by nonconvex functions. The optimization problem is formulated and the MATLAB optimization toolbox is used to find transistor dimensions and biasing currents. Circuit simulation is performed with these results.

References

  1. Hershenson, M. M., Boyd, S. P., and Lee, T.H. 2001. Optimal Design of a CMOS Op-Amp Via Geometric Programming. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 20, (Jan. 2001), 1--21. DOI= http://dx.doi.org/10.1109/43.905671. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Mandal, P., and Visvanathan, V. 2001. CMOS Op-Amp Sizing Using a Geometric Programming Formulation. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 20, (Jan. 2001), 22--38. DOI=http://dx.doi.org/10.1109/43.905672. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Vanderhaegen, J. P. and Brodersen, R. W. 2004. Automated Design of Operational Transconductance Amplifiers Using Reversed Geometric Programming. In Proceedings of the 41st Design Automation Conference (San Diego, USA, July 07-11, 2004). DAC '04. 133--138. DOI= http://dx.doi.org/10.1145/996566.996608. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Oliveiros, J., Cabrera, D., Roa, E., Van Noije, W. 2008. An improved and automated design tool for the optimization of CMOS OTAs using geometric programming. In 21st Symposium on Integrated Circuits and Systems Design (Gramado, Brazil, September 01-04, 2008). SBCCI '08. 01-06. DOI= http://dx.doi.org/10.1145/1404371.1404415. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Karmakar, M. 1984. A new polynomial-time algorithm for linear programming. Combinatorica, 4, (1984), 373--395. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Wright, M.H. 2004. The Interior-Point Revolution in Optimization: History, Recent Developments and Lasting Consequences. Bulletin (New Series) of the American Mathematical Society, 42, 1, (Sep. 2004), 39--56. DOI= http://dx.doi.org/10.1090/S0273-0979-04-01040-7.Google ScholarGoogle Scholar
  7. Nocedal, J., Wright, S. 2006. Numerical Optimization. Springer, New York, NJ.Google ScholarGoogle Scholar
  8. Luenberger, D.G. 2004. Linear and Nonlinear Programming. Springer, New York, NJ.Google ScholarGoogle Scholar
  9. _. 2010. MATLAB Optimization Toolbox, User's Guide, version 5.Google ScholarGoogle Scholar
  10. Seevinck, E., Vittoz, E., du Plessis, M., Joubert, T.-H. and Beetge, W. 2000. CMOS translinear circuits for minimum supply voltage. IEEE Trans. Circuits and Systems -- II: Analog and Digital Signal Processing, 47, (Dec. 2000), 1560--1564. DOI= http://dx.doi.org/10.1109/82.899656.Google ScholarGoogle ScholarCross RefCross Ref
  11. Maniero, A., Gerosa, A. and Neviani, A. 2003. Performance optimization in micro-power, low-voltage log-domain filters in pure CMOS technology. In Proceedings of the IEEE International Symposium on Circuits and Systems, vol.I (Bangkok, Thailand, May 25-28, 2003). ISCAS' 03. 565--568. DOI= http://dx.doi.org/10.1109/ISCAS.2003.1205626.Google ScholarGoogle Scholar
  12. Maniero, A., Gerosa, A. and Neviani, A. 2004. A fully integrated dual-channel log-domain programmable preamplifier and filter for an implantable cardiac pacemaker. IEEE Trans. Circuits and Systems -- I: Regular Papers, 51, (Oct. 2004), 1916--1925. DOI= http://dx.doi.org/10.1109/TCSI.2004.835027.Google ScholarGoogle ScholarCross RefCross Ref
  13. Bucher, M., Lallement, C., Enz, C., Krummenacher, F. (1996). Accurate MOS modelling for analog circuit simulation using the EKV model. In Proceedings of the IEEE International Symposium on Circuits and Systems, vol.4 (Atlanta, May 12-15, 1996). ISCAS' 96. 703--706. DOI= http://dx.doi.org/10.1109/ISCAS.1996.542121.Google ScholarGoogle ScholarCross RefCross Ref
  14. Sobral, V. A. L., Bomfim, R. E. C., Lima, R. N., Cunha, A. I. A. 2008. Systematic methodology for the design of Seevinck's CMOS log-domain integrators. In 21st Symposium on Integrated Circuits and Systems Design (Gramado, RS, September 01-04, 2008). SBCCI '08. 160--163. DOI= http://dx.doi.org/10.1145/1404371.1404417. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Waltz, R.A., Plantenga,T.D. 2010. KNITRO 7.0, User's Manual, Ziena Optimization Inc.Google ScholarGoogle Scholar
  16. _. 2008. Smash&Scrooge User Manual, Dolphin Integration.Google ScholarGoogle Scholar

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              cover image ACM Conferences
              SBCCI '11: Proceedings of the 24th symposium on Integrated circuits and systems design
              August 2011
              244 pages
              ISBN:9781450308281
              DOI:10.1145/2020876

              Copyright © 2011 ACM

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              Publication History

              • Published: 30 August 2011

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