A harmonic retrieval method in colored non-Gaussian noise based on cumulant projection

This paper addresses the harmonic retrieval problem in colored non-Gaussian noise and proposes a cumulant projection method for harmonic retrieval in colored linear non-Gaussian noise. At first, a higher order cumulant projection theorem of the complex linear non-Gaussian process is given. Using this theorem, we can obtain the correlation of the colored non-Gaussian noise from the fourth-order cumulant of the complex noisy measurements which are formed by Hilbert transform. Then the vector space is prewhited by finding a generalized eigenvalue problem. Finally, the harmonic parameters are retrieved by using MUSIC method. This method releases the asymmetrically-distributed assumption of the non-Gaussian noise and is also efficient when there is quadratic phase coupling in harmonics. Simulation examples are presented to support the result of this paper.