Rank reduction estimator based algorithm for estimating 2D-DOA with L-shaped array

A novel algorithm is proposed for Two-Dimensional (2D) Direction Of Arrival (DOA) estimation issue with L-shaped array. By introducing an auxiliary electrical angle, 2D-DOA estimation problem is solved by two-step 1D-DOA estimation. Firstly auxiliary electrical angle estimation is given by a propagator based RAnk Reduction Estimator (RARE). Then a cost function about one incident angle is obtained, and the incident angle estimation is given by K zeros of polynomial relating to the cost function. Finally, The other incident angle estimation is given by simple algebraic operation between the obtained auxiliary electrical angle and incident angle estimations. Computational burden analysis is given in this paper. It is shown that the proposed algorithm has a roughly same computational burden with JEADE algorithm, while both of them has larger burden than CODE and root-MUSIC algorithms. Further, the Root-Mean-Square-Error (RMSE) expressions of the incident angle estimates are derived to validate the performance of the proposed algorithm.