Formal Expression of Sensitivity and Energy Relationship in the Context of the Coupling Matrix

Monica Martinez-Mendoza (1) , Fabien Seyfert (2) , Christoph Ernst (3) , Alejandro Alvarez-Melcon (1)

1 TIC - Departamento de Tecnologia de la informacion y las Communicationes
2 APICS - Analysis and Problems of Inverse type in Control and Signal processing
3 ESA - Agence Spatiale Européenne = European Space Agency

Precise formulas to express the formal relationship between the time average stored energy in the resonators of a low-pass filter network and the sensitivity of the reflection S -parameter with respect to the coupling matrix terms are demonstrated in this paper, considering the normalized frequency axis. These relationships are found in the modern context of the N+2 coupling matrix, and for both diagonal and general nondiagonal coupling elements of the matrix. The results are valid for any type of coupling topology represented by the N+2 coupling matrix. Different examples are included as validation. Furthermore, important implications and applications derived from the new relationships are highlighted.

Mots clés: Context; Couplings; Energy storage; Sensitivity; Topology; Transfer functions; Transmission line matrix methods

Domaines: Autre

Monica Martinez-Mendoza, Fabien Seyfert, Christoph Ernst, Alejandro Alvarez-Melcon. Formal Expression of Sensitivity and Energy Relationship in the Context of the Coupling Matrix. IEEE Transactions on Microwave Theory and Techniques, 2012, 60 (11), pp.3369 - 3375. ⟨10.1109/TMTT.2012.2216286⟩. ⟨hal-00763652⟩