Novel Approaches for DOA Estimation of Coherent Sources in the Presence of Impulsive Noise

This paper is concerned with the direction of arrival (DOA) estimation of coherent sources in impulse noise fields modeled as symmetric alpha stable (S alphaS) distribution. Robust covariation (ROC) based MUSIC and fractional lower moment (FLOM) based MUSIC cannot be used to estimate the DOA under these conditions. New forward-backward smoothing (FBS)-covariation matrices and FBS-FLOM matrices are first defined by applying the spatial smoothing idea to covariation matrices and FLOM matrices. Two novel algorithms based on FBS-covariation matrices and FBS-FLOM matrices are presented in the meantime. Theoretical analysis shows that noise subspace can be estimated by the eigen-decomposition of FBS covariation matrices and FBS-FLOM matrices so as to estimate the DOA of coherent sources in impulse noise. Moreover, performance of two new algorithms is analyzed by comparison. Computer simulation results verify the correctness and effectiveness of the proposed methods