Skip to main content
Log in

New Results Related to Miller’s Theorem

  • Published:
Circuits, Systems & Signal Processing Aims and scope Submit manuscript

Abstract

Miller’s theorem is a popular tool in the field of analog electronic circuit analysis. This paper gives some new results related to this. Impedance and admittance parameter formulations are proposed for Miller’s theorem and its dual, respectively. Examples are given to show that Miller’s theorems can be used in unconventional ways. The dual can be used in place of the main theorem and conversely. Star delta transformation can be performed using the two theorems. It is shown that Miller’s theorems can be generalized to interconnected two ports in many different ways.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S.C. Dutta Roy, Miller’s theorem revisited. Circuits Syst. Signal Process. 19(6), 487–499 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. P.R. Gray, R.G. Meyer, Analysis and Design of Analog Integrated Circuits, 3rd edn. (Wiley, New York, 1993)

    Google Scholar 

  3. M.K. Kazimierczuk, A network theorem dual to Miller’s theorem. IEEE Trans. Educ. E-31, 265–269 (1988)

    Article  Google Scholar 

  4. J. Millman, C.C. Halkias, Integrated Electronics: Analog and Digital Circuits and Systems (McGraw-Hill, New York, 1972)

    Google Scholar 

  5. C. Miron, P. Ogrutan, E. Wardegger, Two new Miller theorems. Proc. IEE, Part G 133, 271–272 (1986)

    Google Scholar 

  6. L. Moura, Error analysis in Miller’s theorems. IEEE Trans. Circuits Syst. I 48(2), 241–249 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  7. M.H. Rashid, Microelectronic Circuits: Analysis and Design (PWS, Boston, 1999)

    Google Scholar 

  8. T.S. Rathore, Generalized Miller’s theorem and its applications. IEEE Trans. Educ. E-32, 386–390 (1989)

    Article  Google Scholar 

  9. A.S. Sedra, K.C. Smith, Microelectronic Circuits, 4th edn. (Oxford University Press, New York, 1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. C. Prasad.

Additional information

V.C. Prasad retired from Indian Institute of Technology, Delhi, India.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prasad, V.C. New Results Related to Miller’s Theorem. Circuits Syst Signal Process 28, 547–565 (2009). https://doi.org/10.1007/s00034-009-9097-4

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-009-9097-4

Keywords

Navigation