Investigation of the relationship between sensitivity and stored energy

This paper is focused on the theoretical investigation of the relationship between the time average stored energy (t.a.s.e) in conventional lumped-element Chebychev low-pass prototype filters, and the sensitivity of the return loss with respect to properly tuned resonators. It is well known that the resonant frequencies are the most sensitive parameters in a filter to achieve the required return loss and often some form of manual adjustment is needed. Different degree transfer functions, and also different topologies, are investigated throughout the paper. It is shown that both, the t.a.s.e and the sensitivity behaviors are strongly related. This work provides some new insight in fundamental properties of passive filters and can be useful for the design of filters with reduced sensitivity for high power applications and tuningless filters, for example.