Skip to main content

Symbolic Analysis Using Floating Pathological Elements

  • Conference paper
Book cover Genetic and Evolutionary Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 238))

Abstract

The nullor-mirror pathological elements have been found useful in solving circuit analysis and design problems. They are further used to ideally represent various popular analog signal-processing properties that involve differential or multiple single-ended signals by utilizing the concept of floating mirror elements. For applying nodal analysis to the circuit containing such active devices with differential or multiple single-ended signals, we propose an efficient systematic analytical technique which directly performs symbolic analysis on the simpler RLC-nullor-floating mirror representations of circuits rather than their RLC-two-terminal pathological element-based counterparts. It releases the limitation of recently proposed symbolic analysis approaches and use simpler models which may be conductive to achieving high-performance symbolic nodal analysis. The feasibility and validity of the proposed method are demonstrated by practical circuit examples.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Tellegen, B.D.H.: La recherche pour una série complète d’éléments de circuit ideauxnonlinéaires. Rendiconti del Seminario Matematico e Fisico di Milano 25, 134–144 (1954)

    Article  Google Scholar 

  2. Carlin, H.J.: Singular network elements. IEEE Trans. Circuit Theory CT-11, 67–72 (1964)

    Google Scholar 

  3. Schmid, H.: Approximating the universal active element. IEEE Trans. Circuits Syst. II 47(11), 1160–1169 (2000)

    Article  Google Scholar 

  4. Carlosena, A., Moschytz, G.S.: Nullators and norators in voltage tocurrent mode transformations. Int. J. Circuit Theory Applicat. 21(4), 421–424 (1993)

    Article  Google Scholar 

  5. Kumar, P., Senani, R.: Bibliography on nullors and their applications in circuit analysis, synthesis and design. Anal. Integr. Circuits Signal Process. 33(1), 65–76 (2002)

    Article  Google Scholar 

  6. Soliman, A.M., Saad, R.A.: The voltage mirror-current mirror pairs as a universal element. Int. J. Circuit Theory Appl. 38(8), 787–795 (2010)

    MATH  Google Scholar 

  7. Saad, R.A., Soliman, A.M.: On the systematic synthesis of CCII-based floating simulators. Int. J. Circuit Theory Appl. 38(9), 935–967 (2010)

    Article  MATH  Google Scholar 

  8. Saad, R.A., Soliman, A.M.: A new approach for using the pathological mirror elements in the ideal representation of active devices. Int. J. Circuit Theory Appl. 38(2), 148–178 (2010)

    MATH  Google Scholar 

  9. Soliman, A.M.: Pathological representation of the two-output CCII and ICCII family and application. Int. J. Circuit Theory Appl. 39(6), 589–606 (2011)

    Article  Google Scholar 

  10. Sanchez-Lopez, C., Fernandez, F.V., Tlelo-Cuautle, E., Tan, S.X.D.: Pathological element-based active device models and their application to symbolic analysis. IEEE Trans. Circuits Syst. I: Reg. Papers 58(6), 1382–1395 (2011)

    Article  MathSciNet  Google Scholar 

  11. Tlelo-Cuautle, E., Sanchez-Lopez, C., Moro-Frias, D.: Symbolic analysis of (MO)(I)CCI(II)(III)-based analog circuits. Int. J. Circuit Theory Appl. 38(6), 649–659 (2010)

    Google Scholar 

  12. Wang, H.Y., Huang, W.C., Chiang, N.H.: Symbolic nodal analysis of circuits using pathological elements. IEEE Trans. Circuits Syst. II 57(11), 874–877 (2010)

    Article  Google Scholar 

  13. Huang, W.C., Wang, H.Y., Cheng, P.S., Lin, Y.C.: Nullor equivalents of active devices for symbolic circuit analysis. Circuits Syst. Signal Process. 31, 865–875 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  14. Ibrahim, M.A., Kuntman, H., Cicekoglu, O.: New second-order low-pass, high-pass and band-pass filters employing minimum number of active and passive elements. In: Proc. Int. Symp. Signal Circuits Syst., pp. 557–560 (2003)

    Google Scholar 

  15. Svoboda, J.A.: A linear active network analysis program suitable for a class project. IEEE Trans. Education E-27(1), 21–25 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hung-Yu Wang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Wang, HY., Chang, SH., Chiang, NH., Nguyen, QM. (2014). Symbolic Analysis Using Floating Pathological Elements. In: Pan, JS., Krömer, P., Snášel, V. (eds) Genetic and Evolutionary Computing. Advances in Intelligent Systems and Computing, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-319-01796-9_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01796-9_41

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01795-2

  • Online ISBN: 978-3-319-01796-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics