Robust DOA Estimator Against Mutual Coupling Using One-Bit Sampling

In this paper, we address the problem of direction-of-arrival (DOA) estimation using one-bit sampling in the presence of unknown mutual coupling. Firstly we reconstruct the normalized covariance matrix by utilizing the arcsine law. Subsequently, we construct single measurement vector model by employing matrix transformation and vectorizing the reconstructed normalized covariance matrix. Finally, we estimate the source DOAs by formulating a reweighted group sparse recovery problem. Based on the characteristics of one-bit quantized data, a low-complexity method is also provided to calculate the covariance matrix of one-bit measurements. Numerical results show that the proposed algorithm is obviously superior to the existing approaches.