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Some Filter Design Mathematics

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Part of the book series: Analog Circuits and Signal Processing ((ACSP))

Abstract

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.

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Notes

  1. 1.

    All references, whether or not cited within the text, are recommended for further reading.

References

All references, whether or not cited within the text, are recommended for further reading.

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  2. Chen, W.-K. (ed.): Passive, Active and Digital Filters. The Circuits and Filters Handbook, vol. V. CRC Press, Boca Raton (2009)

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  8. Weinberg, L.: Network Analysis and Synthesis. McGraw-Hill, New York (1962)

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Correspondence to Hercules G. Dimopoulos .

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© 2012 Springer Science+Business Media B.V.

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Dimopoulos, H.G. (2012). Some Filter Design Mathematics. In: Analog Electronic Filters. Analog Circuits and Signal Processing. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2190-6_11

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  • DOI: https://doi.org/10.1007/978-94-007-2190-6_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-2189-0

  • Online ISBN: 978-94-007-2190-6

  • eBook Packages: EngineeringEngineering (R0)

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