Waveform relaxation analysis of RLCG transmission lines

F.H. Branin's method of characteristics (1967) has been extended for the transient analysis of transmission lines with constant RLCG parameters. It has been further generalized for iterative waveform relaxation analysis. The sequence of waveforms relaxation generated by the iteration process has been identified as the series expansion of the transmission-line response functions. By incorporating the fast Fourier transform in the waveform analysis, a phenomenal two-order reduction of CPU time and one-order savings in computer memory have been achieved. Examples of RLCG lines driven by bipolar logic gates are given to illustrate the advantage of waveform relaxation over the discrete time simulation.<
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