Circuits, Systems and Signal Processing

, Volume 19, Issue 6, pp 487–499

Miller's theorem revisited

  • S. C. Dutta Roy
Article

Abstract

Miller's theorem is generally used for approximate analysis of high-frequency amplifier circuits. That it can be used without much difficulty for the exact analysis of such circuits as well as others, including passive networks, does not appear to be widely recognized in the literature. Although formulated and proved in 1972, the dual of Miller's theorem has hardly ever been used. In this paper, we present the exact analysis of a number of circuits of practical interest with the help of either Miller's theorem or its dual or both, almost by inspection.

Key words

Miller's theorem dual of Miller's theorem general network analysis 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    E. J. Angelo,Electronic Circuits, McGraw-Hill, New York, 1964.Google Scholar
  2. [2]
    E. J. Angelo,Electronics: BJT's, FET's and Microcircuits, McGraw-Hill, New York, 1969.Google Scholar
  3. [3]
    S. C. Dutta Roy, On some three terminal lumped and distributed RC null networks,IEEE Trans. Circuit Theory, vol. CT-11, 98–103, March 1964.Google Scholar
  4. [4]
    S. C. Dutta Roy, A quick method for analyzing parallel networks,Internat. J. Elect. Engnrg. Educ., vol. 13, 70–75, January 1976.Google Scholar
  5. [5]
    S. C. Dutta Roy, Analysis of a high-frequency transistor stage,Students J., Inst. Electron. Telecommun. Engrs., vol. 29, 5–7, January 1988.Google Scholar
  6. [6]
    P. R. Gray and R. G. Meyer,Analysis and Design of Analog Integrated Circuits, 3rd ed., John Wiley, New York, 1993.Google Scholar
  7. [7]
    R. C. Jaeger,Microelectronic Circuit Design, McGraw-Hill, New York, 1997.Google Scholar
  8. [8]
    D. Johns and K. Martin,Analog Integrated Circuit Design, John Wiley, New York, 1997.Google Scholar
  9. [9]
    M. A. Kazimierczuk, A network theorem dual to Miller's theorem,IEEE Trans. Educ., vol. E-31, 265–269, November 1988.Google Scholar
  10. [10]
    F. F. Kuo,Network Analysis and Synthesis, John Wiley, New York, 1966.Google Scholar
  11. [11]
    J. Millman and A. Grabel,Microelectronics, 2nd ed., McGraw-Hill, New York, 1987.Google Scholar
  12. [12]
    J. Millman and C. C. Halkias,Integrated Electronics: Analog and Digital Circuits and Systems, McGraw-Hill, New York, 1972.Google Scholar
  13. [13]
    M. H. Rashid,Microelectronic Circuits: Analysis and Design, PWS Publishing, Boston, MA, 1999.Google Scholar
  14. [14]
    T. S. Rathore, Generalized Miller's theorem and its applications,IEEE Trans. Educ., vol. E-32, 386–390, August 1989.Google Scholar
  15. [15]
    A. S. Sedra and K. C. Smith,Microelectronic Circuits, 4th ed., Oxford University Press, New York, 1998.Google Scholar

Copyright information

© Birkhäuser 2000

Authors and Affiliations

  • S. C. Dutta Roy
    • 1
  1. 1.Department of Electrical EngineeringIndian Institute of TechnologyNew DelhiIndia

Personalised recommendations