Decoupled 2D Direction Finding Based on Sparse Signal Reconstruction

A new two-dimensional direction finding algorithm called 2D-l1-SVD is proposed in this paper. It is designed for rectangular arrays and can also be extended to rectangular arrays with faulty or missing elements. The key idea is to represent direction-of-arrival with two decoupled angles and then successively estimate them. Therefore two dimensional direction finding can be realized by applying several times of one dimensional sparse reconstruction based direction finding methods instead of directly extending them to two dimensional situation. Performance analysis and simulation results reveal that the proposed method has a much lower computational complexity and a similar performance compared with the well known l1-SVD algorithm, which has several advantages over conventional direction finding techniques due to the application of sparse signal reconstruction.