Identification and parameter estimation of nonlinear systems using uniqueness of a basic nonlinear structure

In order to extract information from I/O (input/output) measurements alone about the internal structure of a nonlinear system of a certain basic form, the authors present a nonlinear transfer function approach based on the application of Volterra theory and digital polyspectral analysis techniques. As one practical application of the approach, the problem of locating the nonlinearly faulted section and identifying the system parameters of the faulty repeater is considered in detail. In particular, the approach is valid for non-Gaussian (as well as the more commonly assumed Gaussian) random inputs