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Application of Fixator-Norator Pairs in Analog Circuit Design

  • Reza Hashemian
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 479)

Abstract

Recently Fixator-Norator Pairs (FNP) have been shown to be very powerful tools in designing analog circuits for multiple specs. These specs are separated into different areas of the design, and for each area a specific design methodology is introduced in this chapter. The areas mainly consist of designing for circuit biasing, gains, input and output impedances, active loads and current mirrors in ICs, and frequency responses and bandwidth for amplifiers. Very similar to a nullor, it is shown that the role of the fixator in an FNP is to provide a fixed and stable response to a circuit variable as specified by the design criteria. The norator, on the other hand, acts as a place holder for one or more circuit components that are needed to provide the requirements in the circuit to respond to spec, being held constant by the fixator. In designing for frequency and bandwidth, specifically, the mission is harder because of the complexity of the situation. It is shown that a model circuit helps in this case to provide the frequency response needed for the design. Since a model circuit is only for simulation purposes, it can be constructed from ideal components such as controlled sources, and it can be even built quite modular. As shown, the FNP methodology works for both linear and nonlinear circuits. However, for nonlinear circuits we need to keep the biasing situation unchanged during the AC design process. The circuit biasing may change when feedbacks are added to the original amplifier circuit, if not protected. In case needed, coupling capacitors are added to protect the circuit biasing. There are sections in the chapter, where each covers a separate feature and application of FNP in analog circuit design. Examples have also been worked out in rather details to show the role and significance of FNP in each application.

Keywords

Amplifiers Analog circuit design Bandwidth Biasing Circuit simulation Fixator-norator pairs Gain 

References

  1. 1.
    Hashemian R (2012) Application of fixator-norator Pairs in designing active loads and current mirrors in analog integrated circuits. IEEE Trans Very Large Scale Int (VLSI) Syst 20(12):2220–2231Google Scholar
  2. 2.
    Hashemian R (2016) Application of nullors in designing analog circuits for bandwidth. In: Proceedings of the IEEE International Conference on Electro/Information Technology, EIT2016, Grand Forks, ND, 19–21 May 2016Google Scholar
  3. 3.
    Hashemian R (2014) Fixator-norator pairs versus direct analytical tools in performing analog circuit designs. IEEE Trans Circuits Syst II Exp Briefs 61(8):569–573Google Scholar
  4. 4.
    Sedra AS, Smith KC (2014) Microelectronic circuits, 7th edn. Oxford University Press, New YorkGoogle Scholar
  5. 5.
    Baker RJ (2008) CMOS, circuit design, layout, and simulation, 2nd edn. IEEE Press, Wiley Interscience, pp 613–823Google Scholar
  6. 6.
    Verhoeven CJ, van Staveren A, Monna GLE, Kouwenhoven MHL, Yildiz E (2003) Structured electronic design: negative-feedback amplifiers. Kluwer Academic PublishersGoogle Scholar
  7. 7.
    Pillage TL, Rohrer RA, Visweswariah C (1995) Electronic circuit and system simulation methods. McGraw-HillGoogle Scholar
  8. 8.
    Sánchez-López C, Ruiz_Pastor A, Ochoa-Montiel R, Carrasco-Aguilar MA (2013) Symbolic nodal analysis of analog circuits with modern multiport functional blocks. Radio Eng 22(2):518–525Google Scholar
  9. 9.
    Tlelo-Cuautle E, Sánchez-López C, Martınez-Romero E, Tan Sheldon X-D (2010) Symbolic analysis of analog circuits containing voltage mirrors and current mirrors. Analog Integr Circ Sig Process 65:89–95.  https://doi.org/10.1007/s10470-010-9455-yCrossRefGoogle Scholar
  10. 10.
    Fakhfakh M, Tlelo-Cuautle ‎E, Fernández ‎FV (2012) Design of analog circuits through symbolic analysis. https://books.google.com/books?isbn=1608050955, Computers 2012
  11. 11.
    Hashemian R (2017) Nullors in amplifier design for bandwidth using multiple feedbacks. In: 2017 IEEE 30th Canadian conference on electrical and computer engineering (CCECE), Windsor, CA, 30 April– 3 May, 2017Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Electrical EngineeringNorthern Illinois University DeKalbDeKalbUSA

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