Harmonic retrieval in colored non-Gaussian noise based on fourth-order cumulant using prefiltering technique

Abstract

This paper addresses the harmonic retrieval problem in colored non-Gaussian noise and proposes a higher order cumulant-based method for harmonic retrieval in non-Gaussian ARMA noise. Using a kind of elaborately defined fourth-order cumulant of the complex noisy measurements which are formed by the Hilbert transform, we can identify the AR parameters of the non-Gaussian noise. After prefiltering the noisy measurements with the identified AR polynomial, the singular value decomposition-total least squares (SVD-TLS) method can be applied to retrieve the harmonics. This method releases the asymmetrically-distributed assumption of the non-Gaussian noise and is also efficient when there is quadratic phase coupling in the harmonics. Simulation examples are presented to support the result of this paper.