Effect of spatial smoothing on state space methods/ESPRIT

Results concerning the effect of using a spatially smoothed forward-backward covariance matrix on the performance of state space methods/ESPRIT for the direction of arrival (DOA) estimation using a uniformly spaced linear sensor array (ULA) are presented. Compact expressions for the asymptotic mean squared error in the estimates of the signal zeros and the DOA estimates are derived. Some general properties of the estimates are derived which lend insight into the effect of spatial smoothing and the forward-backward approach on state space methods/ESPRIT. An optimally weighted state space method/ESPRIT algorithm is also presented. The results indicate that by properly choosing the number of subarrays used for spatial smoothing, the performance of the method can be greatly enhanced.<
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