  A novel sparse array synthesis method for non-uniform planar arrays is
proposed, which belongs to compressive sensing (CS)-based systhesis.
Particularly, we propose an off-grid refinement technique to simultaneously
optimize the antenna element positions and excitations with a low complexity,
in response to the antenna position optimization problem that is difficult for
standard CS. More importantly, we take into account the minimum inter-element
spacing constraint for ensuring the physically realizable solution.
Specifically, the off-grid Orthogonal Match Pursuit (OMP) algorithm is first
proposed with low complexity and then off-grid Look Ahead Orthogonal Match
Pursuit (LAOMP) is designed with better synthesis performance but higher
complexity. In addition, simulation results have shown the proposed schemes
have more advantages in computational complexity and synthesis performances
compared with the related method.
