DOA Estimation of Coherent Sources Using Coprime Array via Reweighted Atomic Norm Minimization

In this paper, we propose an efficient approach for estimating the directions-of-arrival (DOA) of coherent signals using coprime arrays. Specifically, we first generate a virtual uniform linear array (ULA) through coprime array interpolation. Subsequently, we define the virtual equivalent signal derived from the noise-free covariance matrix of the virtual ULA outputs and recover the Hermitian Toeplitz matrix by solving a reweighted atomic norm minimization (RNM) problem. The rank of the Hermitian Toeplitz matrix is only related to the number of sources. Finally, we can use MUSIC spectral search to estimate the DOAs of coherent sources. The simulation results demonstrate that the proposed algorithm offers higher resolution compared to other compressed sensing algorithms and does not have any limitations on the correlation between signal sources.