N-way Gysels Modeling Using Transmission Line-based Wave Digital Framework

The transmission line (TL)-based wave digital framework can be used to simplify engineering of complex microwave circuits like power dividers/splitters. In this paper, N-way Gysel power dividers (GPDs) are studied by derivation of the TL-based equivalent wave digital model (WDM) followed by utilizing MATLAB/Simulink environment. Based on this approach, a code is developed that predicts the scattering parameters of the analyzed GPD structures. Planar GPD structures containing 3-ways or 4-ways are investigated and a method for development of an equivalent circuit for the multiport parallel adaptor is presented. The analysis of the studied GPD structures begins with a simple geometry and can be extended to more complex geometries very easily. The simulation results are evaluated against TL-based simulations from Advanced Design System software. Inclusion of the multiport adaptor models with one port being dependent against the models with all independent ports reduces the total number of multipliers used in WDMs.