Innovative method for modelling tree structured interconnects

A new technique to generate macromodels of tree structured interconnects including the effect of inductances and frequency dependent per unit length parameters is presented. The proposed method allows the derivation of the exact transfer function of an interconnect tree with distributed RLC models. It presents some advantages over other techniques: first, it enables to easily incorporate frequency dependent phenomena such as skin effect and dielectric losses in a macromodel of the entire interconnect tree; second, a model order reduction can be efficiently performed at the level of each single interconnect, thus leading to a reduced-order model of the entire interconnect; third, the knowledge of all the poles of the tree is made possible by solving low-order algebraic equations at a reduced computational cost. The examples confirm that the proposed method is able to capture the physics of the interconnect trees, being accurate and efficient at the same time.