Cumulants-Based Toeplitz Matrices Reconstruction Method for 2-D Coherent DOA Estimation

• DOI: 10.1109/jsen.2014.2316798
• Publication Date: 2014-04-11T18:02:57Z
• Authors: Hua Chen; Chun-Ping Hou; Qing Wang; Ling Huang; Wei-Qing Yan
• Keywords: Cumulant; Gaussian Noise; Matrix (chemical analysis)

In this paper, a new high-resolution approach called fourth-order cumulants-based Toeplitz matrices reconstruction (FOC-TMR) method, is presented for two-dimensional (2-D) direction-of-arrival (DOA) estimation of incident narrowband coherent signals. The angle problem addressed by arranging the cumulants elements received signals from two parallel uniform linear arrays (ULAs) to matrices. Gaussian noise cases, it shown that ranks equal number incoming waves and are independent their coherency. Therefore, with eigen decomposition Toeplitz-based generalized DOA matrix, closed-form, automatically paired 2-D parameters can be estimated properly its large eigenvalues corresponding eigenvectors, respectively. condition closely spaced in both angles, simulation results show that, comparison forward spatial smoothing (FOC-FSS) proposed algorithm has lower computational complexity yields better performance terms maximum probability success (MPS), root mean square error (MRMSE) white color situations, especially, low signal-to-noise ratio (SNR) small snapshots conditions.