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Graph-Based Symbolic and Symbolic Sensitivity Analysis of Analog Integrated Circuits

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Analog/RF and Mixed-Signal Circuit Systematic Design

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 233))

Abstract

A graph-based symbolic technique is introduced for the computation of fully-symbolic expressions of analog integrated circuits. The system of equations is formulated by using nullor-equivalents of the SPICE-like circuit elements, and then by applying just nodal analysis (NA). The proposed technique is extended to perform symbolic sensitivity analysis not only with respect to each symbolic-element but also with respect to multi-parameters. Several examples are presented in order to compare the performance of the proposed graph-based symbolic technique with the already known determinant decision diagram (DDD) method and with HSPICETM. As a result, it is shown that as for the DDD method, the graph-based symbolic technique is compact, unique and the complexity to obtain the symbolic expression depends on the size of the graph.

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References

  1. Agnew, D.: Efficient use of the Hessian matrix for circuit optimization. IEEE Transactions on Circuits and Systems 25(8), 600–608 (1978), doi:10.1109/TCS.1978.1084520

    Article  MathSciNet  MATH  Google Scholar 

  2. Asenova, I., Balik, F.: Multiparameter symbolic sensitivity analysis of active circuits by using nullor model and modified coates flow graph. In: IEEE ELEKTRO, pp. 401–406. IEEE (2012)

    Google Scholar 

  3. Assaad, R., Silva-Martinez, J.: The Recycling Folded Cascode: A General Enhancement of the Folded Cascode Amplifier. IEEE Journal of Solid-State Circuits 44(9), 2535–2542 (2009)

    Article  Google Scholar 

  4. Balik, F.: Effective optimization of integrated circuits with embedded passive modules by applying semisymbolic lcs ac analysis method. Microelectronics International 28(3), 36–42 (2011)

    Article  Google Scholar 

  5. Barmada, S., Musolino, A., Rizzo, R., et al.: Multi-resolution based sensitivity analysis of complex non-linear circuits. IET Circuits Devices & Systems 6(3), 176–186 (2012)

    Article  Google Scholar 

  6. Carlin, H.: Singular Network Elements. IEEE Transactions on Circuit Theory 11(1), 67–72 (1964), doi:10.1109/TCT.1964.1082264

    Google Scholar 

  7. Chen, J., Shi, G., Tai, A., Lee, F.: A Size Sensitivity Method for Interactive MOS Circuit Sizing. In: IEEE NEWCAS, Montreal, pp. 169–172 (2012)

    Google Scholar 

  8. De Camillis, L., Ferranti, F., Antonini, G., et al.: Parameterized Partial Element Equivalent Circuit Method for Sensitivity Analysis of Multiport Systems. IEEE Transactions on Components Packaging and Manufacturing Technology 2(2), 248–255 (2012)

    Article  Google Scholar 

  9. Duarte-Villasenor, M., Tlelo-Cuautle, E., de la Fraga, L.G.: Binary genetic encoding for the synthesis of mixed-mode circuit topologies. Circuits, Systems, and Signal Processing 31(3), 849–863 (2012), doi:10.1007/s00034-011-9353-2

    Article  MathSciNet  MATH  Google Scholar 

  10. Fakhfakh, M., Tlelo-Cuautle, E., Fernández, F.: Design of Analog Circuits through Symbolic Analysis. Bentham Science Publishers Ltd. (2012)

    Google Scholar 

  11. Gielen, G.G.E., Walscharts, H.C.C., Sansen, W.M.C.: ISAAC: a symbolic simulator for analog integrated circuits. IEEE Journal of Solid-State Circuits 24(6), 1587–1597 (1989), doi:10.1109/4.44994

    Article  Google Scholar 

  12. Guerra-Gómez, I., Tlelo-Cuautle, E., Duarte-Villaseñor, M., Sánchez-López, C.: Analysis, Design and Optimization of Active Devices. In: Integrated Circuits for Analog Signal Processing. Springer (2012)

    Google Scholar 

  13. Hasegawa, K., Aoki, M., Yamawaki, T., et al.: Modeling transistor variation using alpha-power formula and its application to sensitivity analysis on harmonic distortion in differential amplifier. Analog Integrated Circuits and Signal Processing 72(3), 605–613 (2012)

    Article  Google Scholar 

  14. Huang, W.C., Wang, H.Y., Cheng, P.S., et al.: Nullor Equivalents of Active Devices for Symbolic Circuit Analysis. Circuits Systems and Signal Processing 31(3), 865–875 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  15. Izydorczyk, J., Chojcan, J.: High-order sensitivity invariants. International Journal of Circuit Theory and Applications 39(12), 1285–1304 (2011)

    Article  Google Scholar 

  16. Kao, C.C.: BDD-based synthesis for mixed CMOS/PTL logic. International Journal of Circuit Theory and Applications 39(9), 923–932 (2011)

    Article  Google Scholar 

  17. Kolka, Z., Vlk, M., Horak, M.: Topology reduction for approximate symbolic analysis. Radioengineering 20(1), 252–257 (2011)

    Google Scholar 

  18. Li, X., Xu, H., Shi, G., Tai, A.: Hierarchical symbolic sensitivity computation with applications to large amplifier circuit design. In: 2011 IEEE International Symposium on Circuits and Systems (ISCAS), pp. 2733–2736 (2011)

    Google Scholar 

  19. Liu, X.X., Palma-Rodriguez, A.A., Rodriguez-Chavez, S., Tan, S.X.-D., Tlelo-Cuautle, E., Cai, Y.: Performance bound and yield analysis for analog circuits under process variations. In: 18th Asia and South Pacific Design Automation Conference (ASP-DAC), pp. 1–5. ACM IEEE (2013)

    Google Scholar 

  20. Palma-Rodriguez, A.A., Tlelo-Cuautle, E., Rodriguez-Chavez, S., Tan, S.X.: DDD-based symbolic sensitivity analysis of active filters. In: 2012 8th International Caribbean Conference on Devices, Circuits and Systems (ICCDCS), pp. 1–4 (2012), doi:10.1109/ICCDCS.2012.6188913

    Google Scholar 

  21. PierzchaLa, M., Fakhfakh, M.: Transformation of LC-filters to active RC-circuits via the two-graph method. Microelectronics Journal (2011)

    Google Scholar 

  22. Rodriguez-Chavez, S., Tlelo-Cuautle, E., Palma-Rodriguez, A.A., Tan, S.D.X.D.: Symbolic DDD-based tool for the computation of noise in CMOS analog circuits. In: 2012 8th International Caribbean Conference on Devices, Circuits and Systems (ICCDCS), pp. 1–4. IEEE (2012), doi:10.1109/ICCDCS.2012.6188912, http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6188912

  23. Sánchez-López, C., Fernández, F.V., Tlelo-Cuautle, E.: Generalized admittance matrix models of OTRAs and COAs. Microelectronics Journal 41(8), 502–505 (2010)

    Article  Google Scholar 

  24. Sanchez-Lopez, C., Fernandez, F.V., Tlelo-Cuautle, E., Tan, S.X., Sánchez-López, C., Fernández, F.V.: Pathological element-based active device models and their application to symbolic analysis. IEEE Transactions on Circuits and Systems I: Regular Papers 58(6), 1382–1395 (2011), doi:10.1109/TCSI.2010.2097696

    Article  MathSciNet  Google Scholar 

  25. Sánchez-López, C., Martínez-Romero, E., Tlelo-Cuautle, E.: Symbolic Analysis of OTRAs-Based Circuits. Journal of Applied Research and Technology 9(1), 69–80 (2011)

    Google Scholar 

  26. Shi, G.: Computational Complexity Analysis of Determinant Decision Diagram. IEEE Transactions on Circuits and Systems II-Express Briefs 57(10), 828–832 (2010)

    Article  Google Scholar 

  27. Shi, G.: A survey on binary decision diagram approaches to symbolic analysis of analog integrated circuits. Analog Integrated Circuits and Signal Processing, 1–13 (2011)

    Google Scholar 

  28. Soliman, A.M.: Pathological representation of the two-output CCII and ICCII family and application. International Journal of Circuit Theory and Applications 39(6), 589–606 (2011)

    Article  Google Scholar 

  29. Tan, X.D.: Symbolic analysis of large analog circuits with determinant decision diagrams. Ph.D. thesis, University of Iowa (1999)

    Google Scholar 

  30. Tan, S.X.D.: Symbolic Analysis by Determinant Decision Diagrams and Applications. In: Design of Analog Circuits through SYMBOLIC ANALYSIS. Bentham Science Publishers Ltd. (2012)

    Google Scholar 

  31. Tlelo-Cuautle, E.: Analog Circuits: Applications, Design and Performance. Electrical Engineering Developments. Nova Science Pub. Incorporated (2012), http://books.google.com.mx/books?id=H4S1uAAACAAJ

  32. Tlelo-Cuautle, E., Sanchez-Lopez, C., Martinez-Romero, E., et al.: Symbolic analysis of analog circuits containing voltage mirrors and current mirrors. Analog Integrated Circuits and Signal Processing 65(1), 89–95 (2010)

    Article  Google Scholar 

  33. Tlelo-Cuautle, E., Sánchez-López, C., Moro-Frías, D.: Symbolic analysis of (MO)(I) CCI (II)(III)-based analog circuits. International Journal of Circuit Theory and Applications 38(6), 649–659 (2010)

    Google Scholar 

  34. Vazquez-Leal, H., Filobello-Nino, U., Yildirim, A., Hernandez-Martinez, L., Castaneda-Sheissa, R., Sanchez-Orea, J., Molinar-Solis, J., Diaz-Sanchez, A.: Transient and DC approximate expressions for diode circuits. IEICE Electron. Express 9(6), 522–530 (2012)

    Article  Google Scholar 

  35. Wierzba, G.M., Srivastava, A., Joshi, V., Noren, K.V., Svoboda, J.A.: Sspice-a symbolic SPICE program for linear active circuits. In: Proceedings of the 32nd Midwest Symposium on Circuits and Systems, vol. 2, pp. 1197–1201 (1989), doi:10.1109/MWSCAS.1989.102070

    Google Scholar 

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Author information

Authors and Affiliations

  1. INAOE (Instituto Nacional de Astrofisica, Optica y Electrónica), México, México

    S. Rodriguez-Chávez, A. A. Palma-Rodriguez & E. Tlelo-Cuautle

  2. University of California at Riverside, Riverside, CA, USA

    S. X. -D. Tan

Authors
  1. S. Rodriguez-Chávez
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  2. A. A. Palma-Rodriguez
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  3. E. Tlelo-Cuautle
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  4. S. X. -D. Tan
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Corresponding author

Correspondence to S. Rodriguez-Chávez .

Editor information

Editors and Affiliations

  1. Boite Postale 1069, Sfax, 3018, Tunisia

    Mourad Fakhfakh

  2. , Department of Electronics, INAOE, Luis Enrique Erro 1, Tonantzintla, 72840, Mexico

    Esteban Tlelo-Cuautle

  3. , IMSE-CNM, CSIC, Instituto de Microelectrónica de Sevilla, c/ Américo Vespucio s/n, Seville, 41092, Spain

    Rafael Castro-Lopez

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Rodriguez-Chávez, S., Palma-Rodriguez, A.A., Tlelo-Cuautle, E., Tan, S.X.D. (2013). Graph-Based Symbolic and Symbolic Sensitivity Analysis of Analog Integrated Circuits. In: Fakhfakh, M., Tlelo-Cuautle, E., Castro-Lopez, R. (eds) Analog/RF and Mixed-Signal Circuit Systematic Design. Lecture Notes in Electrical Engineering, vol 233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36329-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-36329-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36328-3

  • Online ISBN: 978-3-642-36329-0

  • eBook Packages: EngineeringEngineering (R0)

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