IEEE Transactions on Microwave Theory and Techniques · 1994 · 13 citations · 21 references
EngineeringComputer EngineeringElectrical EngineeringCircuit TheoryInterconnection NetworksMicroelectronicsLaplace Transform MethodsNumerical Methods For Differential EquationsTransient AnalysisTransmission LinesCircuit SimulationCircuit Transient AnalysisCoupled Transmission LinesHigh-speed InterconnectsInterconnect ModelingInverse Laplace TransformLaplace TransformNumerical Inversion Of Laplace Transforms
The numerical inversion of the Laplace transform has been used as an important tool for time domain analysis of high speed VLSI interconnects modeled by transmission line networks. In this paper, a resetting algorithm based on the numerical inversion of Laplace transform with Pade approximation is described. The initial conditions of coupled transmission lines required by the resetting algorithm are also derived. The new method results in substantial improvement of the accuracy of the numerical inversion of Laplace transform for solving transmission line networks with long transients. The new method also bridges the gap between two types of circuit simulation techniques, i.e., the numerical inversion of Laplace transform and the numerical integration.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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