Two-dimensional DOA estimation of coherent sources based on reconstruction of toeplitz matrix sets

The traditional two-dimensional reconstruction Toeplitz-like algorithm uses partial information from two correlation matrices or covariance matrices to construct a Toeplitz matrix when performing two-dimensional coherent source DOA estimation, which makes information utilization incomplete and requires additional denoising. In view of the above problems, an improved Toeplitz matrix set reconstruction algorithm based on two-dimensional reconstruction Toeplitz class algorithm is proposed. two Toeplitz matrix sets containing complete information are constructed by using the complete array element reception signal vector to construct, and then multiplying it with the conjugate transpose Sum up to modify the matrix to obtain a full rank matrix, 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 Avoid additional denoising. Simulation results of the cross array and L-shaped array validate the proposed algorithm.