Passivity verification and enforcement of delayed rational function macromodels from networks characterized by tabulated data

Passivity has become a critical issue while modeling high-speed networks characterized by tabulated data. For modules containing long delays, macromodeling based on delayed rational functions has been gaining popularity in recent years. However, there are currently no passivity verification or enforcement methods available for such macromodels. To address this issue, this paper proposes passivity verification and enforcement algorithms for delayed rational function macromodels of high-speed modules, characterized by tabulated data. Necessary theoretical foundation and validating examples are presented.

[1]  Ramachandra Achar,et al.  Passivity Compensation Algorithm for Method-of-Characteristics-Based Multiconductor Transmission Line Interconnect Macromodels , 2009, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[2]  A. Semlyen,et al.  Rational approximation of frequency domain responses by vector fitting , 1999 .

[3]  P. Triverio,et al.  Compact macromodeling of electrically long interconnects , 2008, 2008 IEEE-EPEP Electrical Performance of Electronic Packaging.

[4]  Stefano Grivet-Talocia,et al.  Passivity enforcement via perturbation of Hamiltonian matrices , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Michel S. Nakhla,et al.  Fast Passivity Verification and Enforcement via Reciprocal Systems for Interconnects With Large Order Macromodels , 2007, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[6]  A. Charest,et al.  Compact Macromodeling of High-Speed Circuits via Delayed Rational Functions , 2007, IEEE Microwave and Wireless Components Letters.

[7]  R. Achar,et al.  Passivity Verification in Delay-Based Macromodels of Multiconductor Electrical Interconnects , 2007, IEEE Transactions on Advanced Packaging.

[8]  Michel S. Nakhla,et al.  Passivity verification in delay-based macromodels of electrical interconnects , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[9]  S. Grivet-Talocia.  Delay-Based Macromodels for Long Interconnects via Time-Frequency Decompositions , 2006, 2006 IEEE Electrical Performane of Electronic Packaging.

[10]  David S. Watkins,et al.  POLYNOMIAL EIGENVALUE PROBLEMS WITH HAMILTONIAN STRUCTURE , 2002 .

[11]  G. Stewart,et al.  Matrix Perturbation Theory , 1990 .

[12]  M.C.E. Yagoub,et al.  Passivity Enforcement for Method of Characteristics-based Multiconductor Transmission Line Macromodels , 2007, 2007 International Symposium on Signals, Systems and Electronics.

[13]  T. Dhaene,et al.  Orthonormal Vector Fitting: A Robust Macromodeling Tool for Rational Approximation of Frequency Domain Responses , 2007, IEEE Transactions on Advanced Packaging.

[14]  J. Doyle,et al.  Essentials of Robust Control , 1997 .