Weighted state space methods/ESPRIT and spatial smoothing

The effect of spatial smoothing on direction of arrival (DOA) estimates obtained using weighted eigen-based state space methods/ESPRIT is analyzed. Expressions for the asymptotic mean-squared error in the estimates of the signal zeros and the DOA estimates, along with some general properties of the estimates are derived. It is shown that proper choice of the subarray length can improve the performance of the method significantly. Based on the asymptotic expressions, an optimum weighting matrix minimizing the mean-squared error in one of the DOA is derived.<
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