Efficient time-domain vector fitting for broadband interconnect modelling

The time-domain vector fitting (TDVF) was proven to be an extrapolation method which provides about a ten-fold lengthening of a recorded time-domain response and reducing Gribbs phenomenon due to the limited length of the response and its abrupt discontinuity. TDVF is the counterpart of the vector fitting (VF) in the time domain (TD), but it is not popular as VF due to the fact that a technique for estimating the order of the rational function fit for TDVF is not available even though the accuracy of the model built by TDVF strongly depends on the choice of the order of the rational function fit. This paper introduces a new methodology toward an efficient and robust whole channel simulation using the TDVF algorithm which is equipped with a sound estimate for the order of the rational function fit. This method significantly reduces the computational resource, while enhances the model accuracy. As a validation study, TDVF equipped with the order estimation method was applied for modelling a socket component in multi-Gbps interconnects.