On the Frequency Domain Analysis of Nonlinear Systems

Abstract: In this report we study how the Volterra series description of nonlinear systems can be applied to some different problems.We study oscillations in nonlinear systems. It is shown by help of some examples that the Volterra series description gives us the possibility to analyse more general nonlinear systems with respect to oscillations, than is possible by the describing function method.Another problem we study is how to compensate for nonlinear sensors and sensor noise. By means of a simple example we study the question if the sensor linearization or the noise filtering is to be performed first.Finally we discuss by help of examples, the possibility of frequency domain analysis of the nonlinear system that the Volterra series description gives.