The development of a new class of broadband matching devices, including active impedance transformers, with the possibility of correcting the phase response is an actual task at present. Synthesis of a broadband active impedance transformer with a phase response corresponding to a second-order lattice X-section in a distributed elemental basis based on the previously presented method for the synthesis of broadband matching devices with predetermined phase response is considered in this paper. As a result of synthesis, the y-matrix of the broadband transforming two-port network is obtained. The functions of its own parameters represented in the form of Foster. Applying various conditions of circuit realizability in the synthesis process, we obtained structures convenient for realization on microwave on regular transmission lines, one of which is investigated at various parameters of a given phase response. As a result of the research, it is found that the structure has a wide ability to reproduce the phase response of a second-order lattice X-section with different parameters, and also reproduce the linear phase response characteristic while maintaining an acceptable level of the power conversion coefficient in a given frequency band. Thus, the efficiency of the previously proposed method of synthesis of broadband matching devices with predetermined phase response is demonstrated, and also the possibilities of active impedance transformers on regular transmission lines are shown.
Fixed point theorems via Generalized WF-Contractions with applications