Target localization based on distributed array networks with magnitude-only measurements

The source localization problem based on distributed array networks is formulated into a group sparsity-based phase retrieval problem where only the magnitude of received signals is available. Under such a framework, a 2-D localization method is proposed, where unlike traditional methods, random phase errors at array sensors will not affect estimation results. In addition, to deal with the off-grid problem for sparsity-based solutions, a model for off-grid bias is proposed and an efficient two-step method is developed accordingly to solve the 2-D off-grid problem. Simulation results show that the proposed solutions can solve the problem effectively.