Analysis of spatial smoothing with uniform circular arrays

Abstract

In this correspondence, we analyze spatial smoothing withuniform 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 while extending 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 the forward and forward-backward smoothing. We consider UCA's with isotropic as well as directional sensors in our study. Computer simulations are provided to demonstrate the usefulness of the analysis.