Abstract: A novel fast high-resolution two-dimensional(2-D)dierction-of-arrival(DOA)estimation method of non-circular signals impinging on two L-shaped arrays based on conjugate gradient(CG)algorithm is proposed.Concatenating the original observed data matrix and its conjugate pair for reason of nonzero elliptic covariance matrix of non-circular signals to increase the number of virtual sensors and expand effective array aperture size,the proposed method can deal with more sources and has better estimation performance than common methods.The proposed method substitute CG algorithm for eigenvalue decomposition(EVD)of sample covariance matrix to obtain the signal subspace,and the computational complexity is significantly reduced.Numerical simulation results has illustrated the effectiveness and validity of the proposed method.