  This article deals with the problem of the statistical performance analysis
of the MUSIC ( Multiple Signal Classification ) algorithm which is an eigen
decomposition based method for the estimation of the angles of arrival of
signals received by an array of sensors. In past work the performance of the
MUSIC algorithm was studied ( via an asymptotic statistical analysis of the
null spectrum of the algorithm ) for the case of two plane waves of equal power
in noise. In this article, a new theoretical formula is derived for the signal
to noise ratio resolution threshold of two uncorrelated, narrow band plane
waves with equal powers in angular sectors received by an array of sensors. The
accuracy of the formula is assessed using examples which compute the
theoretical signal to noise ratio resolution threshold and compare it with the
threshold obtained from simulations.
