Gridless Sparse Methods Based On Fourth-Order Cumulant for DOA Estimation
Yuying Zhang, Gong Zhang, Henry Leung · 2019
This paper is concerned with continuous direction-of-arrival (DOA) estimation, and focused on developing gridless sparse methods to colored noise environment. We propose a two-stage gridless model based on noise suppression and sparse representation. Then the atomic norm minimization method is applied to recover the fourth-order cumulant matrix. We further extend the gridless SPICE method to the reconstruction of fourth-order cumulant matrix. The unknown DOAs are retrieved from the recovered matrix and the source number can be obtained as a byproduct. Numerical simulations lastly validate the computational efficiency of the proposed algorithms.