Harmonic retrieval in colored non-Gaussian noise using cumulants

This paper addresses the harmonic retrieval problem in colored linear non-G aussian noise of unknown covariance and unknown distribution. The assumptio ns made in the reported studies that the non-Gaussian noise is asymmetrical ly distributed and no quadratic phase coupling occurs are released. Using t he elaborately defined fourth-order cumulants of the complex noisy observat ions, which are obtained by Hilbert transform, we can estimate either the c orrelation or the AR polynomial of the non-Gaussian noise via cumulant proj ections or ARMA modeling; then, the prewhitening or prefiltering techniques can be employed to retrieve harmonics, respectively, Simulation results ar e presented to demonstrate the effectiveness of the proposed algorithms.