Gridless Mixed Sources Localization Based on Low-Rank Matrix Reconstruction

In this letter, we propose a gridless method for mixed FF and NF sources localization. To establish the Vandermonde structure for DOA and range estimation, we employ the fourth-order cumulants to construct two special matrices which are only related to the DOA or range parameters, respectively. Then, we build two low-rank matrix reconstruction models to retrieve the DOAs and ranges by exhibiting the low-rank and Toeplitz structures of the cumulant matrices. We also present an easy-to-implement post-processing to pair the DOA and range estimates. Our method requires no discretization of the angle nor range domains. We finally carry out simulations to verify the superiority of our proposed method.