Estimating the frequencies of harmonics in multiplicative and additive noise based on subspace rotational invariance

The frequency estimation of harmonics in the presence of nonzero mean multiplicative and additive noise is considered in this paper. We first define a generalized covariance of harmonics in multiplicative and additive noise, then, we construct a Toeplitz matrix using the defined generalized covariance. Finally, we estimate the frequencies form the constructed matrix via the subspace rotational invariance technique. The proposed method has high-resolution and no assumptions imposed on the color or the distribution of the noises. Simulation results demonstrate the effectiveness of the proposed method.