A DOA Estimation Method of coherent and uncorrelated sources based on Nested Arrays

This paper presents a novel way to estimate the DOA of coherent and uncorrelated sources for nested array. At first, by using the vectorization of the covariance matrix of the received data, the LASSO algorithm with a modified dictionary matrix based on compressed sensing is applied to estimate a vector containing all signal powers. Then, the estimated vector is reconstructed into the covariance matrix of coherent and uncorrelated sources. A peak searching to estimate DOAs can be performed by using the diagonal elements of this reconstructed matrix. In this presented method, the advantage of fully utilizing the degree of freedom of nested arrays is preserved. Theoretical analysis and simulation results show the effectiveness of the proposed algorithm.