This paper presents a method for the time-domaan simulation of multiconductor transmission lines with frequency-dependent conductor (skin effect) and dielectric losses. The method is based on a traveling wave solution of the transmission line equations in the frequency domain, with time-domain simulation achieved by convolving the transmission line terminal voltages with describing time-domain input and tmnsfer impulse responses derived from the frequencydomain solution. Attention must be given to careful formulation of the frequency-dependent conductor and dielectric losses to assure causality in the transmission line responses. The ezcessive numerical burden of discrete-time convolution is avoided by approzimating the tmnsmission line responses with ezponential series, which may be convolved recursively, making the tmnsmission line solution feasible and practical for large simulations. An implementation of the solution algorithm an the circuit simulation program SPICE is described, and sample results for a microstrip system presented.
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