Frequency-dependent analytical modeling of integrated inductors based on design of experiments theory

Today, an exhaustive library of models describing the electrical behavior of integrated passive components in the radio-frequency range is essential for the simulation and optimization of complex circuits. A rigorous and efficient procedure is presented, based on design of experiments, that is set up in order to extract, for planar spiral inductors, an analytical model parameterized as a function of the inductor geometry. This model can be deduced from either simulations or measurement results and we will focus in this paper on electromagnetic simulations based on a modified formulation of the PEEC method.