Convex optimization for the synthesis of matching filters

Gibin Bose (1) , Fabien Ferrero (2) , Leonardo Lizzi (2) , Fabien Seyfert (1) , David Martínez Martínez (1)

1 APICS - Analysis and Problems of Inverse type in Control and Signal processing
2 LEAT - Laboratoire d'Electronique, Antennes et Télécommunications

In this work we study a particular filter synthesis problem in order to minimize the reflection coefficient of the global system consisting of filter and antenna. The matching problem is formulated as an optimization problem involving the minimization of a pseudo hyperbolic distance and the solution to this problem using H∞ approach yields a lower bound for the matching criterion related to the computation of a matching filter, with prescribed finite degree, under selectivity constraints.

Mots clés: filter synthesis; optimization problem; pseudohyperbolic distance; matching criterion; Hafnium; filtering theory; Optimization; Matched filters; Ports (Computers); Loaded antennas; convex programming; matching problem; Frequency synthesizers; reflection coefficient; hyperbolic equations; convex optimization; matching filter

Domaines: Electromagnétisme

Gibin Bose, Fabien Ferrero, Leonardo Lizzi, Fabien Seyfert, David Martínez Martínez. Convex optimization for the synthesis of matching filters. ICEAA 2017- International Conference on Electromagnetics in Advanced Applications, Sep 2017, Verona, Italy. pp.1450-1453, ⟨10.1109/ICEAA.2017.8065554⟩. ⟨hal-01621215⟩