This paper presents a new algorithm that addresses an important issue arising in computation of sensitivity for nonuniform transmission lines using the idea of model reduction through integrated congruence transform. This issue is related extending the concept of implicit basis construction, which was introduced earlier to simulate nonuniform transmission lines, to the task of sensitivity analysis. A new algorithm is presented to compute the orthogonal basis needed to obtain the reduced system used in sensitivity analysis. The proposed algorithm incorporates a new orthogonalization procedure which can be used to find an orthogonal basis for a set of moments derived from inhomogeneous differential equations, but without having to compute those moments explicitly. Numerical results demonstrate that reduced-order systems constructed by the proposed algorithm have improved numerical accuracy in sensitivity computation.

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Keywords High-speed interconnects, Model-order reduction, Nonuniform transmission lines, Sensitivity analysis
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Journal IEEE Transactions on Advanced Packaging
Gad, E. (Emad), & Nakhla, M.S. (2005). An efficient algorithm for sensitivity analysis of nonuniform transmission lines. IEEE Transactions on Advanced Packaging, 28(2), 197–208. doi:10.1109/TADVP.2005.846930