Article | REF: E130 V1

Synthesis method for LC filters

Authors: Gaëlle LISSORGUES, Corinne BERLAND

Publication date: August 10, 2009, Review date: August 31, 2023

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2. LC quadrupole properties

The method used to synthesize LC filters is based on the properties of dipoles and quadrupoles, which are briefly reviewed here. Readers wishing to explore this point in greater depth can refer, for example, to the reference [10] .

2.1 LC dipole properties

The impedances Z (p ) or admittances Y (p ) of these dipoles have the following properties:

  • these are rational fractions in p with real coefficients, i.e. ratios of two polynomials in p with real coefficients;

  • these rational fractions are odd, and the numerator and denominator have a degree that differs by one;

  • poles and zeros are...

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LC quadrupole properties
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