A cross four-order cumulants based harmonic retrieval TLS-ESPRIT method in the estimation of harmonic parameters

A cross four-order cumulant expression is derived from complex-valued and real-valued random harmonic signal in the context of hybrid colored noise. Based on this expression, a TLS-ESPRIT retrieval method is proposed and used to jointly estimate harmonic frequency, mutual power and phase difference. Theoretical analysis and digital simulation studies have shown that the proposed method can restrain the Gaussian colored noise and/or the unrelated non-Gaussian colored noise between the channels with high frequency resolution and stability in the estimation of harmonic parameters.