Some Filter Design Mathematics

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


The network functions (transfer functions, driving-point functions etc.) of linear lumped circuits are real and rational functions of the complex frequency, i.e. ratios of two polynomials in s with real coefficients. Therefore, it is not surprising that the mathematical framework involved in filter synthesis are mainly theory of polynomials and functions of complex variables. Circuit synthesis requires simple mathematics used in a correct manner and some useful concepts, definitions and methods are presented in this chapter.


Synthesis Filter Circuit Synthesis Hurwitz Polynomial Positive Real Property Positive Real Rational Function 
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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

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

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