A time-domain approach for extracting broadband macro-π models of differential via holes
Journal
IEEE Transactions on Advanced Packaging
Journal Volume
29
Journal Issue
4
Pages
789-797
Date Issued
2006-11
Author(s)
Abstract
A novel time-domain approach is proposed to synthesize the broadband macro-π model of the differential vias based on time-domain reflected/ transmitted waveforms either measured by time-domain reflectometry (TDR) or simulated by finite-difference time-domain (FDTD) method. The step responses of the differential via are solved in terms of rational functions by the generalized pencil-of-matrix (GPOM) method. The macro-π model in terms of the rational functions pairs is obtained through an ABCD matrix transformation. The order of the macro-π model can be reduced without losing the accuracy according to a residue criterion. The equivalent lumped circuits of the macro-π model is synthesized by a lumped circuit extraction method (LCEM). The stability and passivity of the extracted models can be preserved based on this time-domain approach and the macro-π topology. Two examples, one is an asymmentric via and the other is an differential via in four-layer PCB, are used to demonstrate the broadband accuracy of the proposed approach both in time-domain and frequency-domain. © 2006 IEEE.
Subjects
Differential via; Finite-difference time-domain (FDTD); Generalized pencil-of-matrix (GPOM); High-speed interconnects; Signal integrity; SPICE model; Time-domain reflectometry (TDR)
Other Subjects
Finite difference method; Mathematical models; Reflectometers; Time domain analysis; Finite-difference time-domain method; Generalized pencil-of-matrix method; Lumped circuit extraction method; Time-domain reflectometry; Broadband networks
Type
journal article