Synthesis of RLCM One-Port Circuits

  • Hercules G. DimopoulosEmail author
Part of the Analog Circuits and Signal Processing book series (ACSP)


The properties of passive RLCM one-port circuits are presented in this chapter. It is then shown that any positive real impedance function can be synthesized as a passive RLCM one-port circuit by initially removing all its -axis poles. The remaining function, referred to as minimum positive real, can be synthesized using the more involved Brune’s method. Cauer and Foster methods are also presented for purely reactive LC impedances, i.e. impedance functions that have all their poles on the -axis.


Positive Reals (PR) Impedance Function Remainder Function Rational PR Function Denominator Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Belevitch, V.: Classical Network Theory. Holden-Day, Oakland (1968) zbMATHGoogle Scholar
  2. 2.
    Chen, W.-K. (ed.): Passive, Active and Digital Filters. The Circuits and Filters Handbook, vol. V. CRC Press, Boca Raton (2009) Google Scholar
  3. 3.
    Daniels, R.W.: Approximation Methods for Electronic Filter Design. McGraw-Hill, New York (1974) Google Scholar
  4. 4.
    Guillemin, E.A.: The Mathematics of Circuit Analysis. Willey, New York (1949) zbMATHGoogle Scholar
  5. 5.
    Guillemin, E.A.: Synthesis of Passive Networks. Krieger, Melbourne (1977) Google Scholar
  6. 6.
    Lutovac, M.D., Tosic, O., Dejan, V., Evans, B.L.: Filter Design for Signal Processing Using MATLAB and Mathematica. Prentice Hall, Upper Saddle River (2001) Google Scholar
  7. 7.
    Sedra, A., Bracket, P.O.: Filter Theory and Design: Active and Passive. Pitman, London (1978) Google Scholar
  8. 8.
    Temes, G.C., LaPatra, J.W.: Introduction to Circuit Synthesis and Design. McGraw-Hill, New York (1977) Google Scholar
  9. 9.
    Van Valkenburg, M.E.: Introduction to Modern Network Synthesis. Wiley, New York (1966) Google Scholar
  10. 10.
    Van Valkenburg, M.E.: Analog Filter Design. Oxford University Press, London (1982) Google Scholar
  11. 11.
    Weinberg, L.: Network Analysis and Synthesis. McGraw-Hill, New York (1962) Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department ElectronicsTechnol. Educ. Inst. of Piraeus (T.E.I.)EgaleoGreece

Personalised recommendations