{"title":"BestFit: a SPICE-compatible model for efficient, passive, broadband transmission-line analysis of dispersive interconnects","authors":"A. Woo, T. Yioultsis, A. Cangellaris","doi":"10.1109/EPEP.2003.1250044","DOIUrl":null,"url":null,"abstract":"\"BestFit\" refers to a mathematical methodology used for the direct passive synthesis of SPICE-compatible models of multi-conductor interconnect structures. Given the bandwidth of simulation, the length of the interconnect system, and its per-unit-length, frequency-dependent resistance, inductance, capacitance and conductance matrices, the proposed algorithm synthesizes a compact, multi-port, dispersive, SPICE-compatible model for the interconnect. The resulting model is in terms of a concatenation of a number of non-uniform segments of lumped passive circuit representations of the per-unit-length series impedance and shunt admittance matrices, the lengths of which are obtained as a result of a Pade-Chebyshev approximation of the frequency-dependent input impedance matrix of the multiconductor transmission line system. The synthesized circuit is \"optimal\" in the sense that highly-accurate responses can be obtained with a number of segments per minimum wavelength barely exceeding the Nyquist limit of 2.","PeriodicalId":254477,"journal":{"name":"Electrical Performance of Electrical Packaging (IEEE Cat. No. 03TH8710)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electrical Performance of Electrical Packaging (IEEE Cat. No. 03TH8710)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/EPEP.2003.1250044","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
"BestFit" refers to a mathematical methodology used for the direct passive synthesis of SPICE-compatible models of multi-conductor interconnect structures. Given the bandwidth of simulation, the length of the interconnect system, and its per-unit-length, frequency-dependent resistance, inductance, capacitance and conductance matrices, the proposed algorithm synthesizes a compact, multi-port, dispersive, SPICE-compatible model for the interconnect. The resulting model is in terms of a concatenation of a number of non-uniform segments of lumped passive circuit representations of the per-unit-length series impedance and shunt admittance matrices, the lengths of which are obtained as a result of a Pade-Chebyshev approximation of the frequency-dependent input impedance matrix of the multiconductor transmission line system. The synthesized circuit is "optimal" in the sense that highly-accurate responses can be obtained with a number of segments per minimum wavelength barely exceeding the Nyquist limit of 2.