Formal expression of sensitivity and energy relationship in the context of the coupling matrix
IEEE Transactions on Microwave Theory and Techniques
- Volumen: 60
- Número: 11
- Fecha: 01 January 2012
- Páginas: 3369-3375
- ISSN: 00189480
- Source Type: Journal
- DOI: 10.1109/TMTT.2012.2216286
- Document Type: Article
- Publisher: Institute of Electrical and Electronics Engineers Inc.
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. © 1963-2012 IEEE.