Explicit formulas for the synthesis of optimum broad-band impedance-matching networks II

The paper presents explicit formulas for writing down the element values of a lossless impedance-matching network that equalizes any RLC load to a resistive generator over a finite frequency band to achieve the maximally flat or equiripple transducer power-gain characteristic of arbitrary order. The formulas are a generalization of those given in the literature in that they include the usage of a regular all-pass function in the equalizer backend reflection coefficient. As a consequence, we reduce the design of these practical matching networks to simple arithmetic. Illustrative examples are provided to demonstrate the usage of the formulas.