First-order sensitivity and worst case analysis of doubly terminated reactance two-ports

Equations are derived which enable the designer to predict, from a single circuit analysis, all sensitivities and the worst case error of the loss response for a doubly terminated reactance two-port. The method is extended to the important practical class of resonanceadjusted circuits. The results confirm the experimentally observed dependence of the sensitivities on the reflection factor and on the tuning process used in the construction of the circuit. Interestingly, the sensitivities depend only on the properties of the reflection coefficients and on the complex power in the individual reactive elements.