A note on the evaluation of the response of a non-linear element to sinusoidal and random signals

A simple method is developed for analysing the response of nonlinear elements to sinusoidal and random signals. Special cursors are presented which enable the effective gain of the non-linear unit to be determined quickly. For sinusoidal signals the technique provides a rapid means for rinding the Fourier components of fundamental frequency of the output waveform, for both single-valued and for hysteretic forms of nonlinearity. The gain of any single-valued non-linearity when subject to a random signal is also evaluated. The amplitude probability distribution of the signal can be any known function. The method of analysis is invaluable for deriving the response of non-linear control systems subjected to random or sinusoidal inputs.