Probability of Resolution of MUSIC and g-MUSIC: An Asymptotic Approach

In this article, the outlier production mechanism of conventional Multiple Signal Classification (MUSIC) and g-MUSIC Direction-of-Arrival (DoA) estimation technique is investigated using tools from Random Matrix Theory (RMT). A general Central Limit Theorem (CLT) derived that allows to analyze asymptotic stochastic behavior eigenvector-based cost functions in regime where number snapshots antennas increase without bound at same rate. Furthermore, CLT used provide an accurate prediction resolution capabilities MUSIC DoA method. The finite dimensional distribution function shown be asymptotically jointly Gaussian distributed regime.