Harmonic retrieval based on cross-high-order cumulant

This paper describes a method of estimating the parameters of sinusoidal harmonic signals buried in hybrid colored noise. We define novel high-order statistics, referred to as cross-fourth-order cumulants, that is the basis of the method proposed. The method is insensitive to hybrid colored noise. Employing cross-fourth-order cumulants, we estimated the sinusoid parameters using the moment method that has been developed on the Yule-walker equation of cross-fourth-order cumulants. Simulation results show that the new method is accurate and can suppress the effect of hybrid colored noise.