Two-dimensional DOA estimation with reduced-dimensional MUSIC algorithm using the modulus constraint

A large amount of computation is required when using the traditional two-dimensional multiple signal classification (2D-MUSIC) algorithm for two-dimensional direction of arrival (DOA) estimation, so the practical application of 2D-MUSIC algorithm is limited. A reduced-dimensional MUSIC algorithm using the modulus constraint to solve the computation-intensive problem in two-dimensional DOA estimation is proposed. The proposed algorithm can distinctly reduce the computational load, because the two-dimensional DOA estimation can be decomposed into two stages of one-dimensional DOA estimation by the quadratic optimization method. In this algorithm, the modulus constraint is used to construct the constraint condition of the quadratic optimization function, and the steering vectors are strongly constrained in the solving process, so the result is closer to the optimal solution than the other's. The theoretical analysis and simulation results show that the proposed algorithm not only requires less computation, but also performs well in success rate and precision of angle estimation.