Synthesis of Microwave filters: a novel approach based on computer algebra

Fabien Seyfert (1)

1 APICS - Analysis and Problems of Inverse type in Control and Signal processing

This paper presents an algebraic setting of the synthesis problem concerning coupled-resonators filters. The latter yields a rigorous understanding of the relationship be-tween the coupling geometry and the corresponding set of re-alizable filtering characteristics as well as an algorithm, based on Groebner bases computations, which solves exhaustively the coupling matrix synthesis problem. Numerical results are pre-sented for a 10 th order filter.

Mots clés: Groebner basis; microwave filters; coupling matrix; Index Terms — synthesis

Domaines: Electronique; Automatique / Robotique; Algèbre commutative [math.AC]

Fabien Seyfert. Synthesis of Microwave filters: a novel approach based on computer algebra. MTNS-21st Symposium on Mathematical Theory of Networks and Systems, Jul 2014, Groningen, Netherlands. ⟨hal-01100790⟩