On the asymptotic relative efficiency of the MUSIC algorithm

The authors provide an analytic performance evaluation of the errors of the direction-of-arrival estimates obtained by the MUSIC algorithm for uncorrelated sources. Explicit asymptotic formulas are given for the covariances of the estimates. The covariances are then compared to the Cramer-Rao lower bound. It is shown that, for a single source, the MUSIC algorithm is asymptotically efficient. For multiple sources, the algorithm is not efficient when the SNRs (signal-to-noise ratios) of all sources tend to infinity.<<ETX>>