Super-resolution DOA estimation using single snapshot via compressed sensing off the grid

A super-resolution approach for direction of arrival (DOA) estimation is proposed in this paper. This approach can achieve the super-resolution performance using only one snapshot. It deals with the DOA estimation problem on the continuous bearing space rather than a discretization of this space, so it can eliminate the model mismatch and off-grid effect induced by the spatial discretization and thus improves the accuracy of DOA estimation. Moreover, we provide the conditions that guarantee the exact DOA estimation using one snapshot, including the theoretical low-bound of the required number of sensors and the minimum angle-distance between two consecutive sources. The experimental results demonstrate the superiority of the proposed approach on the super-resolution performance.