Single Far-Field or Near-Field Source Localization With Sparse or Uniform Cross Array

Existing works for 3-D source localization are based on uniform cross arrays. In this correspondence, we propose a single far-field (FF) or near-field (NF) source localization method based on uniform cross arrays and then generalize it to the symmetric sparse cross arrays where each linear array is a symmetric sparse one. We utilize the cross-covariance matrix to exploit the full array aperture and employ the atomic norm minimization technique to retrieve the angle information without discretization. The range is estimated by MUSIC-like method. Our method is superior to traditional methods and exhibits enormous advantages in low signal-to-noise ratio (SNR) and small number of snapshots regions. Numerical simulations are carried out to verify the effectiveness of our method.