Passivity enforcement using incomplete complex frequency hopping

In this paper, an efficient passivity enforcement algorithm for S-parameter based macromodels is proposed. The approach is based on the perturbation of the imaginary eigenvalues of the Hamiltonian Matrix. The CPU cost savings are obtained by selective computation and perturbation of a subset of the imaginary eigenvalues. The proposed approach is shown to be efficient compared to existing state of the art methods.

[1]  S. Grivet-Talocia,et al.  On the generation of large passive macromodels for complex interconnect structures , 2006, IEEE Transactions on Advanced Packaging.

[2]  Luís Miguel Silveira,et al.  A convex programming approach for generating guaranteed passive approximations to tabulated frequency-data , 2004, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.

[3]  Y. Saad.  Numerical Methods for Large Eigenvalue Problems , 2011 .

[4]  Giuseppe C. Calafiore,et al.  Subgradient Techniques for Passivity Enforcement of Linear Device and Interconnect Macromodels , 2012, IEEE Transactions on Microwave Theory and Techniques.

[5]  D. Sorensen.  Numerical methods for large eigenvalue problems , 2002, Acta Numerica.

[6]  Ramachandra Achar,et al.  Simulation of high-speed interconnects , 2001, Proc. IEEE.

[7]  Roni Khazaka,et al.  Passive Reduced Order Macromodeling Based on Loewner Matrix Interpolation , 2016, IEEE Transactions on Microwave Theory and Techniques.

[8]  Stephen P. Boyd,et al.  A bisection method for computing the H∞ norm of a transfer matrix and related problems , 1989, Math. Control. Signals Syst..

[9]  S. Grivet-Talocia,et al.  An Adaptive Sampling Technique for Passivity Characterization and Enforcement of Large Interconnect Macromodels , 2007, IEEE Transactions on Advanced Packaging.

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

[11]  B. Gustavsen,et al.  Fast Passivity Enforcement for S-Parameter Models by Perturbation of Residue Matrix Eigenvalues , 2010, IEEE Transactions on Advanced Packaging.