DOA estimation and array registration with joint sparse reconstruction methods

Thomas Wiese, Lorenz Weiland, Wolfgang Utschick

Abstract: Two uniform linear arrays with inexactly known relative positions shall be used for coherent direction of arrival estimation. We show that in the narrowband case the estimation of the displacement parameter is well posed if the number of sources is known. Furthermore, we propose a fast registration method that estimates the unknown displacement parameter using a combination of sparse reconstruction algorithms for distributed compressed sensing and Newton's method.