Projector's weighting for W-MUSIC: An alternative to RMT

In the last decade, modified subspace DoA estimation methods such as G-MUSIC have been proposed, in the context where the number of available snapshots N is of the same order of magnitude than the number of sensors M. In this context, the conventional MUSIC algorithm fails in presence of close sources because the empirical covariance matrix is a poor estimate of the true covariance matrix. The G-MUSIC algorithm is based on Marcenko-Pastur's works about the distribution of the eigenvalues of the empirical covariance matrix. A new modified MUSIC algorithm is proposed. It is based on the correction of the noise projector obtained by complex Wishart distribution of the empirical covariance matrix.