Real Frequency Design of Pi and T Matching Networks with Complex Terminations

In this paper, real frequency design of Pi and T matching networks with complex terminations is studied. Generally the generator and load termination impedances are given as measurement values. So they can be regarded as a resistor and a reactive element connected in series. To be able to design a Pi network, this series impedance models must be transformed to parallel models. But for T network designs, the assumed series models can be utilized, there is no need a transformation process. Then Pi or T matching networks can be designed via Q based method which is well defined in the literature.