Development of model libraries for embedded passives using network synthesis

This paper discusses the synthesis and simulation of RF circuits using integral passive components embedded in a packaged substrate. For any one- or two-port structure, a function approximating its response is first obtained in a rational function representation using simulated or measured data. The equivalent lumped circuit is then synthesized from the rational function. The results show that the equivalent circuits can be used to reveal the parasitic effects associated with the physical layout of the structure and simulate the response of the structure. Using both the rational functions and synthesized equivalent circuits, an RF filter has been simulated to show the accuracy.