Harmonic retrieval using higher-order statistics and Hilbert transform

Abstract

So far, the problem of harmonic retrieval with quadratic phase coupling in colored non-Gaussian noise has not been solved well. For this reason, this paper presents a new approach for harmonic retrieval in colored non-Gaussian ARMA noise, and further, another new approach is given for harmonic retrieval in mixed Gaussian and colored non-Gaussian ARMA noises. Both of the approaches can realize harmonic retrieval whether the harmonic signal contains the components of quadratic phase coupling or not. Simulation results show the effectiveness of the two approaches.