Moment matching method for numerical solution of MTL equations in interconnect analysis
Copyright policy )Moment matching method for numerical solution of MTL equations in interconnect analysis
The authors consider the problem of the analysis of a multiconductor transmission line (MTL). They proceed by taking the Laplace transform and discussing the structure of the eigenvalues and eigenvectors of the transformation matrix. They expand in terms of the transformation parameter \(s\) and provide the relevant algorithms. They show that for a multiconductor with \(n\) transmission lines, the computing cost in flops for expanding the various terms in the expansion is of the order \(n^3\). There is a discussion of the error involved in the process.
- University of Kentucky United States
- University of L'Aquila Italy
Numerical computation of eigenvalues and eigenvectors of matrices, Interconnect analysis, interconnect analysis, Laplace transform, Applied Mathematics, Numerical methods in optics, eigenvalues, eigenvectors, algorithms, Numerical methods for initial value problems involving ordinary differential equations, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Technical applications of optics and electromagnetic theory, Computational Mathematics, Moment matching technique, moment matching method, Multiconductor transmission line (MTL) equations, transformation matrix, multiconductor transmission line, Eigenvalue decomposition
Numerical computation of eigenvalues and eigenvectors of matrices, Interconnect analysis, interconnect analysis, Laplace transform, Applied Mathematics, Numerical methods in optics, eigenvalues, eigenvectors, algorithms, Numerical methods for initial value problems involving ordinary differential equations, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, Technical applications of optics and electromagnetic theory, Computational Mathematics, Moment matching technique, moment matching method, Multiconductor transmission line (MTL) equations, transformation matrix, multiconductor transmission line, Eigenvalue decomposition
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