Direction of Arrival Estimation Method under Sensor Failure Scenarios via covariance matrix completion

The performance of direction of arrival (DOA) estimation degrades in the case of sensor failures. To solve this problem, a virtual array DOA estimation method based on covariance matrix completion is proposed. First, the covariance matrix is extended to a high-dimensional covariance matrix to construct a virtual array. Then, the matrix completion problem is constructed, and the extended covariance matrix is completed by the OptSpace method. Finally, using the obtained target matrix, DOA estimation is performed based on the root-MUSIC method. Theoretical and simulation results show that the proposed method can effectively restore the estimation accuracy in the sensor failure scenario.