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

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

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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.


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