Calculation of communication-network response to arbitrary transients

The use of a digital computer permits the replacement of analytic-function waveforms by lists of equi-interval sample values, while a simple and stable finite-difference routine, which does not assume analyticity, accepts the circuit function in the formal s-polynomial ratio form. The passage of a completely arbitrary waveform through linear, amplitude-modulation, or angle-modulation networks is reduced to a few minutes´ computation with a standard program. Nonlinearities, time delays and noise can easily be accommodated, and a special simplification is outlined for servomechanisms.