The use of the Wigner-Ville spectrum as a method of identifying/Characterising nonlinearities in systems

The Wigner-Ville spectrum is often used for time-frequency characterizations of signals. It has been used to describe transients and nonstationary processes and has been applied to the characterization of systems in which the system may behave nonlinearly. The aim of this paper is to explore furthur the use of the Wigner-Ville spectrum as a method of distinguishing nonlinear systems and attempting to classify types of commonly occurring nonlinearities. This is achieved by studying the simulated response of nonlinear oscillators.