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A novel direction of arrival (DOA) estimation method for the centre-symmetric circular array is proposed to cope with the scenario where non-circular signals are presented. By formulate the problem of parameters estimation as a generalized eigen-value decomposition problem, the non-circularity factors and DOAs of non-circular signals are estimated from generalized eigen-values and generalized eigen-vectors, respectively. Simulation results are provided to show higher resolution capacity and estimation precision of the proposed method.

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In order to find the directions of coherent signals, a sparsity enhanced beamforming method is proposed. The minimum variance in the proposed method corresponds to the orthogonal relationship between the noise subspace and the sparse representation of the received signal vector, whereas the distortless response corresponds to the non-orthogonal relationship between the signal subspace and the sparse representation of the received signal vector. The proposed sparsity enhanced method is carried out by the iterative reweighted Lp-norm constraint minimization for direction finding of coherent signals. Simulation results are provided to show that it has better performance than the existing algorithms in presence of coherent signals.