Spatial smoothing with uniform circular arrays

Abstract

In this paper, we extend and analyse spatial smoothing with uniform circular arrays (UCA's). In particular, we study the performance of the Root-MUSIC with smoothing in the presence of correlated sources, finite data perturbations and errors in transformed steering vector that arise due to some approximations made to enable the extension of the Root-MUSIC and smoothing to UCA. Expressions are derived for the asymptotic performance of the Root-MUSIC with smoothing applied to the transformed UCA data. An attempt has been made to bring out the impact of both forward and forward-backward smoothing. Computer simulations are provided to demonstrate the usefulness of the analysis.