A CLT for the G-MUSIC DoA estimator

Subspace methods (e.g. MUSIC) are widely used in the context of DoA estimation using an array of M antennas. These methods perform well as long as the number of available samples N is much larger than M. However, their performance severely degrades when N is of the same order of magnitude than M. In this context, a DoA estimation method (called “G-MUSIC”), based on a new localization function estimate, was recently derived and shown to outperform the traditional methods for reasonable values of M, N. The consistency of both the localization function and DoA estimators was addressed in the asymptotic regime where M, N converge to infinity such that M /N converges to a positive constant. This paper addresses Central Limit Theorems for both the localization function and DoA estimators, in the previous asymptotic regime. Simulations confirm the validity of the results.