Transient waveform generation with lumped nonlinear dynamic networks

Simple step-driven nonlinear dynamic networks are examined for their transient waveform generation properties. It is shown that a wide class of waveforms can be produced with networks of standard form involving two nonlinear resistors. This class is primarily characterized by the behavior of its elements at
t = \infty
These networks exhibit several advantages over other wave generation techniques, the foremost being their simplicity of treatment and application. Strict attention is paid to the realizability of the nonlinearities with commercially available diodes and no active elements. Sensitivities with respect to network parameters are considered and shown to be modest. Two laboratory examples are given. Applications to steady-state waveform generation are noted.