2D DOA Estimation of PR-WSF Algorithm Based on Modified Fireworks Algorithm

Two-dimensional direction of arrival (DOA) estimation has more application significance than one-dimensional estimation. However, the increase of computation scale causes serious problems of slow speed of solution and poor real-time performance. Among the common algorithms of two-dimensional direction of arrival (DOA) estimation, the weighted subspace fitting (WSF) algorithm possesses high accuracy, but its complexity in solving process weakens its performance advantage. In addition, the accuracy of WSF is poor under the condition of low signal-to-noise ratio (SNR) and insufficient snapshot number (i.e. threshold). Hence, this paper proposes a PR-WSF algorithm based on modified fireworks algorithm: the radius and number of explosions in fireworks algorithm are initially improved, then the ESPRIT algorithm combined with cramer-rao bound (CRB) is adopted to create a smaller searching space, and finally the pseudo-random noise resampling (PR) algorithm is introduced to improve the “threshold performance. The experimental results show that this algorithm balances the relationship between global search and local search, reduces unnecessary computation, and has better estimation performance at the threshold.