Improved Cumulant Direction Finding Algorithm with Fourth Order
Bin Chen · Xi'an Jiaotong Daxue xuebao · 2012
An improved direction of arrival(DOA) estimation algorithm,called Toeplitz fourth-order cumulant ESPRIT(TFOC-ESPRIT) algorithm,is proposed to deal with the estimation error problem that exists in the reduced-rank fourth-order cumulant(FOC) matrix and is caused by finite sampling snapshots.A reduced-rank FOC matrix is obtained through removing the redundant information encompassed in the primary FOC matrix,while the effective aperture of the virtual array keeps unchanged.Then,the Toeplitz structure of the reduced-rank FOC matrix is recovered by applying the Toepltiz approximation.Finally,the direction of arrival signals is estimated using the ESPRIT algorithm.Simulation results and comparisons with the MFOC-ESPRIT algorithm show that the proposed TFOC-ESPRIT algorithm effectively improves direction-finding accuracy,and that it can not only estimate DOA of more targets with less antennas,but also have higher normalized probability of success-the probability reaches 0.996 and 0.788,respectively,in both the spatially-white noise and the spatially-color noise environments with 400 sampling snapshots.