Abstract:

A robust direction of arrival (DOA) estimation method under the framework of compressive sensing is proposed in this paper. The proposed algorithm firstly discretizes the candidate angle space. Then the problem of DOA estimation is converted to the sparse signal recovery by utilizing the property that DOA corresponds to the support of sparse signal. The array steering matrix is modeled by a random error matrix with its mean as the ideal steering matrix through first order approximation when considering nonidealities of sensor array and basis mismatch during angle discretization. Based on the new random steering matrix, a new compressive sensing based DOA estimation algorithm is proposed. Theoretical analysis proves the robustness of the proposed method. Numerical simulations conducted validate the analytical results.