MUSIC and spatial smoothing : A statistical performance analysts

In this paper, the effect of using a spatially smoothed forward-backward sample covariance mamx on the performance of MUSIC is analyzed. In particular, Root-Music is examined and aysmptotic results for the mean squared error in the estimates of the signal zeros and the direction of arrival are derived. The results are compared with those for the Minimum-Nom method. Simple approximations are made to obtain insight into the performance of the methods. It is shown that the use of a fonvard-backward covariance estimate and spatial smoothing is far more beneficial to the MinimumNorm method than to MUSIC. Also, it is shown that in the case of MUSIC though spatial smoothing improves the spectral efficiency factor, minimal smoothing is desirable for Root-Music. Computer simulations are provided to support the analysis. '. ..

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