Some Filter Design Mathematics
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.
- 2.Chen, W.-K. (ed.): Passive, Active and Digital Filters. The Circuits and Filters Handbook, vol. V. CRC Press, Boca Raton (2009) Google Scholar
- 4.Guillemin, E.A.: Synthesis of Passive Networks. Krieger, Melbourne (1977) Google Scholar
- 5.Temes, G.C., LaPatra, J.W.: Introduction to Circuit Synthesis and Design. McGraw-Hill, New York (1977) Google Scholar
- 6.Van Valkenburg, M.E.: Introduction to Modern Network Synthesis. Wiley, New York (1966) Google Scholar
- 7.Van Valkenburg, M.E.: Analog Filter Design. Oxford University Press, London (1982) Google Scholar
- 8.Weinberg, L.: Network Analysis and Synthesis. McGraw-Hill, New York (1962) Google Scholar