A modified Toeplitz algorithm for DOA estimation of coherent signals

A new algorithm based on cross-correlation vector Toeplitz reconstruction, called CVT method, is proposed in this paper. The CVT method can estimate coherent signal source effectively. The CVT utilizes the internal relation of array receiving data to realize signal sources de-coherent. Compared with the classical spatial smoothing algorithms the proposed algorithm has higher estimation precision under the condition of the same phase. The reason is that the CVT method can realize de-coherent completely, but the spatial smoothing algorithms realize rank reconstruction only. The produce of rank reconstruction introduces cross- correlation noise into modified signal covariance matrix. But the CVT method can transform the signal covariance matrix of coherent source into diagonal matrix. Therefore, the CVT algorithm has some advantages of low computational load, better robustness and higher estimation precision than spatial smoothing algorithm. The theoretical analysis and simulation results show that the proposed method is effective.