Observation data based DOA estimation with uncalibrated antenna array in perspective of sparse solution finding

Making use of the Toeplitz property of the mutual coupling matrix with uniform linear array (ULA), the problem of estimating the unknown direction-of-arrival (DOA) of the sources and mutual coupling coefficients of the antenna elements is converted to a linear inverse problem. Estimation of the unknown DOA is cast into the framework of sparse solution finding, and the optimal estimation of the vector with respect to the mutual coupling coefficients is shown to have a closed-form solution. To derive these solutions, an alternating minimization technique is developed. The proposed method can deal with single snapshot case and is effective to correlated sources. The validation of the proposed method has been confirmed via computer simulations.