A Simple Modification of ESPRIT

In this letter, a manifold reconstruction based ESPRIT algorithm is devised for direction-of-arrival (DOA) estimation. Unlike the standard ESPRIT approach, the proposed method employs two smaller overlapping subarrays to construct the rotational invariance equation, which is then used to recover the array manifold matrix. This way, the DOA estimation can be split into K single-source DOA estimation problems, where each DOA is estimated by minimizing a nonlinear least squares fitting criterion that is solved via a computationally efficient Newton's method. Numerical results are included to validate the effectiveness of the proposed algorithm.