An iterative optimization for mutual coupling correction of UCA with single snapshot

For the case of the single snapshot, the integrated SNR gain could not be obtained without the multiple snapshots, which degrades the mutual coupling correction performance under the lower SNR case. In this paper, an iterative optimization approach is proposed for the mutual coupling correction of the uniform circular array (UCA) with single snapshot. It uses a novel iterative approach to improve the self-calibration algorithm for the mutual coupling correction. Neither the prior knowledge of the correction matrix initialization nor the calibration source with the known position is required for the proposed approach. An optimum solution for the approximation between the no mutual coupling covariance matrix and the covariance matrix with the coupling is derived. Moreover, a global optimization problem is formed for the mutual coupling correction and the spatial spectrum estimation. To avoid solving the nonconvex optimization problem, a chain of the convex optimization is adopted. The simulation results demonstrate the effectiveness of the proposed method, which improve the resolution ability and the estimation accuracy of the multi sources with the single snapshot.