DOA estimation of the coherent sources based on SVD and the fractional lower order statistics

This paper is mainly to deal with the problem of direction of arrival (DOA) estimations of coherent sources in impulsive noise fields modeled as α-stable distribution. Two new algorithms based on singular value decomposition (SVD) and fractional lower order statistics are proposed. The proposed methods rebuild a matrix by using the eigenvector corresponding to the largest eigenvalue obtained from the fractional lower order statistics matrix of the received data, then the auto-covariance matrix of the rebuilt matrix can be obtained. The noise subspace can be gained by SVD of the matrix which is reconstructed by the equal of the obtained auto-covariance and its complex-conjugation inversion. Simulation results demonstrate the effectiveness of the proposed methods for estimation DOA of the coherent sources in impulsive noise.