Brune´s four-port equivalent circuit models for MMMWICs

A systematic algorithm based on the Brune-Tellegen process is applied to synthesize a lumped-element equivalent circuit modeling a monolithic integrated millimeterwave transformer module in the frequency range from 53 GHz to 73 GHz. The lumped element equivalent circuit contains only positive resistors, inductors and capacitors as the circuit elements and ideal transformers in the connection circuit. The algorithm is based on the representation of the multiport by a positive real matrix obtained from numerical data by vector-fitting. From this positive real matrix stepwise parts corresponding to canonical sub circuits are extracted until the order of the remaining matrix reaches zero.