2D DOA estimation of coherent sources based on reconstruction of Toeplitz matrix sets

The traditional two-dimensional reconstruction Toeplitz-like algorithm uses the partial information constructing two correlation matrices or covariance matrix to construct the Toeplitz matrix when performing two-dimensional coherent source DOA estimation, which makes the information utilization incomplete and requires additional denoising. In response to the above problems, this paper proposes an improved Toeplitz matrix set reconstruction algorithm based on two-dimensional reconstruction Toeplitz class algorithm, using the complete array of received signal vectors to construct two Toeplitz matrix sets with complete information, and then conjugate transpose Multiply and sum to modify the matrix to obtain a full rank matrix, so as to achieve the purpose of decoherence, and combined with the traditional ESPRIT algorithm to perform two-dimensional reconstruction processing through rotation invariance and then angle matching to achieve two-dimensional coherent signal angle estimation While avoiding additional denoising. Finally, the simulation results of the cross array and the L-shaped array verify the effectiveness of the algorithm in this paper. Compared with the traditional ESPRIT-like algorithm and the REC-FBSS-ESPRIT algorithm in the literature [18], the success resolution and DOA estimation accuracy as well as low signal-to-noise ratio, it has better performance.