Broadband modeling and tuning of multi-layer RF circuits using physical augmentation methodology

In this paper, a circuit augmentation technique for broadband modeling of component libraries, and tuning of multilayer, embedded RF passive circuits has been presented. The circuit augmentation technique is based on a circuit partitioning technique, modified nodal analysis and a linear optimization framework. The "physical" circuit augmentation algorithm that has been implemented in this paper automatically ensures passivity and stability of the broadband models. The technique has been verified for broadband modeling of spiral inductors and planar embedded capacitors. The methodology has also been applied for the tuning of bandpass filters. The proposed methodology show good correlation with the measured/EM data.