Harmonic Retrieval In Color Noise Based On Cross-high-order Cumulant Approaches

The harmonic retrieval of sinusoidal signal is one of the key problems in signal processing fields. Great progresses have been made up to now. But the harmonic retrieval of signal tarnished by hybrid colored noise has not been solved properly. In the paper, the problem is solved successfully by cross-order special estimated methods.Cross-high-order cumulant approaches of harmonic retrieval are novel. The methods, which can especially reduce the related Gussian noise and unrelated noise, have the advantages of modern cross-spectrum methods and high-order methods.First, the basic theory about cross-high-order spectrum is presented. New cross-high-order cumulant theorems and definitions are given by deducting cross-high-order cumulant, cross-high-order-moment and cross-high-order spectrum and analyzing the properties of noises. The cross-high-order cumulant of related Gaussain noise and unrelated any colored noise are all zero. The estimation of cross-high-order cumulant is asymptote agonic. Cross-high-order cumulant includes the information of the...