DOA Estimation for Sparse Array via Sparse Signal Reconstruction

The problem of direction-of-arrival (DOA) estimation for sparse array is addressed. The perspective that DOA estimation in virtual array response model can be cast as the problem of sparse recovery is introduced. Two methods are proposed, based on different optimization problems, which are solvable using second-order cone (SOC) programming. Without the knowledge of the number of sources, the proposed methods yield superior performances, which are verified by numerical simulations.