Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. I. Non-parametric identification

This paper concerns the asymptotic behaviour of nonparametric frequency-domain identification methods to model linear dynamic systems in the presence of nonlinear distortions, using random multisine excitations. The nonparametric behavior of the transfer function measurement is studied. A related dynamic system (RLDS) is defined and linked to the classical results where the system is excited with normally distributed noise.