This paper presents a technique for the numerical simulation of coupled high-speed channels terminated by arbitrary nonlinear drivers and receivers. The method builds on a number of existing techniques. A Delayed-Rational Macromodel is used to describe the channel in compact form, and a general Waveform Relaxation framework is used to cast the solution as an iterative process that refines initial estimates of transient scattering waves at the channel ports. Since a plain Waveform Relaxation approach is not able to guarantee convergence, we turn to a more general class of nonlinear algebraic solvers based on a combination of the Newton method with a Generalized Minimal Residual iteration, where the Waveform Relaxation equations act as a preconditioner. The convergence of this scheme can be proved in the general case. Numerical examples show that very few iterations are indeed required even for strongly nonlinear terminations.

Transient Analysis of High-Speed Channels via Newton-GMRES Waveform Relaxation / Olivadese, SALVATORE BERNARDO; GRIVET TALOCIA, Stefano. - STAMPA. - (2012), pp. 240-243. ((Intervento presentato al convegno 2012 IEEE 21st Conference on Electrical Performance of Electronic Packaging and Systems (EPEPS) tenutosi a Tempe (AZ) USA nel October 21-24, 2012 [10.1109/EPEPS.2012.6457886].

Transient Analysis of High-Speed Channels via Newton-GMRES Waveform Relaxation

OLIVADESE, SALVATORE BERNARDO;GRIVET TALOCIA, STEFANO
2012

Abstract

This paper presents a technique for the numerical simulation of coupled high-speed channels terminated by arbitrary nonlinear drivers and receivers. The method builds on a number of existing techniques. A Delayed-Rational Macromodel is used to describe the channel in compact form, and a general Waveform Relaxation framework is used to cast the solution as an iterative process that refines initial estimates of transient scattering waves at the channel ports. Since a plain Waveform Relaxation approach is not able to guarantee convergence, we turn to a more general class of nonlinear algebraic solvers based on a combination of the Newton method with a Generalized Minimal Residual iteration, where the Waveform Relaxation equations act as a preconditioner. The convergence of this scheme can be proved in the general case. Numerical examples show that very few iterations are indeed required even for strongly nonlinear terminations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2504154
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