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A Novel Sparse Reconstruction Based DOA Estimation Method Under Grid Mismatch

Under the condition of gain-phase errors, the existing methods only consider that the arrival angle strictly falls on the divided grid, which will pose limitation on the accuracy of the direction of arrival (DOA) estimation. In this paper, a new DOA estimation method based on sparse reconstruction is proposed, which applies the first-order Taylor expansion to modify the array output model under the condition of grid mismatch, and then uses the alternate optimization method to solve the non-convex optimization problem, obtaining the grid angle and bias angle. Compared with the existing methods, the proposed method improves the accuracy of the DOA estimation without requiring change of the grid spacing. This method also performs independent of array phase errors. Simulation results verify the effectiveness of the proposed method.