DOA Estimation for 2D Incoherently Distributed Sources with Nested Array Based on Matrix Reconstruction

Aiming at two-dimensional (2D) incoherently distributed (ID) sources, virtual arrays formed by a proposed nested array for estimating the direction of arrival (DOA) are obtained by vectoring cross-correlation matrices of subarrays. Rational invariance relations with regard to general manifold matrices of virtual arrays are obtained. In the light of the concept of ESPRIT, matrices are constructed to satisfy rotation invariance through rearranging receive vectors of the virtual arrays.