An Off-Grid Iterative Reweighted Approach to One-Bit Direction of Arrival Estimation

This article addresses the problem of direction of arrival (DOA) estimation only relying on the sign bits of the array signal. A new optimization model is formulated to realize the simultaneous estimation of one-bit DOAs and source number. Specifically, the proposed model jointly optimizes the DOA vector and row sparse signal matrix under an improved maximum posteriori probability criterion. The resulting problem is quite challenging due to the non-convexity of DOA vector and the integral form in the model. By utilizing the framework of block successive upper-bound minimization, an off-grid iterative reweighted algorithm is devised to transform the original problem into a series of tractable subproblems. Numerical results are presented to confirm the superiority of our method.