Multi-delay rational modeling of lumped-distributed systems

A new method is introduced to construct models for systems composed of a cascade of transmission lines tapped by lumped elements including multiple reflections. This method does not limit the reflections in their magnitude or their position in the structure under study. A model suite of increasing model complexity and modeling power is used to provide accurate yet using the minimum amount of the model parameters (parsimonious models) for system of increasing complexity. Accurate models are obtained from simulated and measured data over a wide bandwidth with a parsimonious number of model parameters.