Research On The Array Spatial Matrix Filtering And Sparse Representation DOA Estimation

The sensor array is placed in the marine environment to receive the signal of interest,it is affected by the noise and interference.Therefore,the performance of the DOA estimation method will decline.In addition,the sparse representation DOA(direction of arrival)estimation method has good estimation performance,but there is a problem of high computational complexity in the reconstruction process.As a result,the DOA estimation method with low computational complexity and good DOA estimation performance is worth studying.In this paper,the spatial matrix filter is used as preprocessing to reduce the influence of interference and noise on the DOA estimation method.By constraining the norm of spatial matrix filter,the overall error of the spatial matrix filter is minimized.The corresponding optimization model is established to obtain the optimal solution.The simulation results show that the filter has good spatial filtering ability.Besides,the simulation results show that the preprocessing of the spatial matrix filter can improve the performance of the sparse representation ₁-SVD method.This paper proposes a sparse representation DOA estimation method(OPSR),which is based on projection and subspace theory.The influence of noise subspace is eliminated,and the projected covariance matrix is sparsely expressed to estimate the DOA of the target.To reduce the computational complexity in the process of sparse reconstruction and the influence of noise,a sparse representation DOA estimation method is proposed(SR-BECD).The proposed SR-BECD firstly differentiates the covariance matrix of the element space and the beam space,and then arranges the difference matrix into a column vector,which is sparsely expressed to estimate the target azimuth.Simulation results show that the proposed OPSR method and SR-BECD method have high angle resolution and good azimuth estimation performance,and SR-BECD method has low computational complexity.Finally,OPSR and SR-BECD methods are applied to the acoustic vector sensor array.The performance of the corresponding algorithm is verified by the experimental data.