Analysis of interpolated arrays with spatial smoothing

Abstract

An interpolated array is a means of extending the rooting techniques and preprocessing schemes like spatial smoothing, which are available for uniform linear arrays, to arrays with arbitrary geometry. This paper analyses the effect of spatial smoothing on the performance of the interpolated arrays in the presence of interpolation errors and finite data perturbations. An attempt is made to bring out the capability of smoothing to reduce the effect of finite data perturbations and interpolation errors on the performance of the Root-MUSIC with interpolated arrays. Simplified expressions are obtained for certain special cases. Computer simulations are provided to demonstrate the usefulness of the analysis.