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An intrinsic description of the frequency domain re sponse of a section of nonuniform RC line, which might contain dis continuities and lumped elements and be terminated in an RC lumped impedance, is presented. The network functions are express ible as ratios of entire functions. Analytic properties of these entire functions are studied. Their order, type, genus, and their asymp totic behavior and their bounds on the real frequency axis are determined. Necessary and sufficient conditions are given for a transcendental frequency function to be a network function of a nonuniform RC line.

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A new algorithm to compute the transient response of a coupled, dispersive multiconductor system terminated in nonlinear loads is presented. The characterization of the multiconductor system is based on full-wave analysis using the spectral-domain approach, rather than the usual TEM approximation. To compute the transient response of such a system, a bilevel waveform relaxation method is used. Waveform relaxation is applied to compute a time-domain solution at the input and output interfaces. The waveforms are then transformed into the frequency domain to compute the updates induced by the multiconductor system and are transformed back to the time domain for the next set of relaxation at the interfaces, Techniques to improve convergence are presented and conditions for convergence are discussed. Examples of ECL, CMOS, and GaAs circuits connected by coupled lines are given for illustration.