Closed-form network representations of frequency-dependent RLGC parameters

In this paper, equivalent circuit representations for frequency-dependent RLGC (resistance, inductance, conductance and capacitance) parameters of interconnects are presented. Several novel approaches are proposed and compared with each other to model the frequency-dependent behaviour of interconnects due to substrate and conductor losses. The network representations are obtained by network synthesis of suitable non-rational immittances based on analytical methods. Due to the closed-form description of the circuit elements, which consist of positive-valued resistors, inductors, and capacitors, the proposed models can be conveniently implemented in generic circuit simulators.