基于M-FIPM的无网格DOA估计算法

针对目前快速内点法(fast interior point method,FIPM)无法处理多快拍情况下半正定规划(semi-definite programming,SDP)问题的缺陷,提出一种基于多快拍FIPM (multiple snapshots FIPM,M-FIPM)的无网格波达方向(direction o...

Gridless DOA estimation algorithm based on M-FIPM

Given the defect that the fast interior point method(FIPM)cannot handle the semi-definite programming(SDP)problem in the case of multiple snapshots,a meshless direction of arrival(DOA)estimation algorithm based on multiple snapshots FIPM(multiple snapshots FIPM,M-FIPM)is proposed.The algorithm first decomposes the eigenvalue of the covariance matrix of the multi-snap data received by the antenna array,and then uses the corresponding weighted sum of the eigenvalues and eigenvectors to reconstruct the single-shot observation vector that conforms to the FIPM model,and finally obtains the SDP through FIPM.The optimal solution of the problem is used to establish the Toeplitz matrix.According to the Vandermonde decomposition result of the matrix,the DOA parameters of the incident source can be estimated.The M-FIPM algorithm not only retains the low computational complexity of the existing FIPM algorithm,but also reduces the dimensionality of the SDP problem.At the same time,in the construction of the new single snapshot observation vector,the small eigenvalues of the covariance matrix are discarded.The corresponding part can effectively suppress the influence of noise on the subsequent DOA parameter recovery process,and further improves the estimation accuracy of the algorithm.The simulation experiment also verifies the superiority of M-FIPM in terms of estimation accuracy and computing time.