Delay rational macromodels of long interconnects using Loewner Matrix

Abstract

This paper presents a method to obtain delay-based macromodels of electrically long interconnects from tabulated frequency data. The proposed algorithm first extracts multiple propagation delays and splits the data into single delay regions using a time-frequency decomposition transform. Then, the attenuation losses of each region is approximated using the Loewner Matrix approach. The resulting macromodel is a combination of delay rational approximations. A numerical example is presented to illustrate efficiency of the proposed method compared to traditional Loewner where the delays are not extracted beforehand.