This paper presents a robust method for guaranteed passive macromodeling of high-speed interconnects characterized by multiconductor transmission lines with frequency-dependent per-unit-length (FD-PUL) parameters, using integrated-congruence-transformation-based model-order-reduction techniques. For this purpose, a new formulation is developed to directly incorporate state-space equations corresponding to the positive-real (PR) rational functions representing the frequency dependence of PUL parameters, in Telegrapher's equations. The proposed formulation overcomes the need for explicit lumped-circuit realization with all positive elements for PR rational functions of FD-PUL parameters. Proof of passivity and numerical examples are presented to validate the theory.
['Changzhong Chen', 'Dharmendra Saraswat', 'Ramachandra Achar', 'Emad Gad', 'Michel S. Nakhla', 'Mustapha C. E. Yagoub']
A Robust Algorithm for Passive Reduced-Order Macromodeling of MTLs With FD-PUL Parameters Using Integrated Congruence Transform