Delay Extraction-Based Modeling Using Loewner Matrix Framework

This paper presents a method to obtain delay rational 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 are approximated using the Loewner matrix approach. The resulting macromodel is a combination of delay rational approximations. Numerical examples are presented to illustrate efficiency of the proposed method compared to traditional Loewner where the delays are not extracted beforehand.