Gridless DOA Estimation via. Alternating Projections

Abstract

An alternative method for solving the gridless direction-of-arrival (DOA) estimation problem is presented. Gridless DOA estimation involves solving the semi-definite characterization of a rank minimization problem. We show that the original non-convex formulation of the gridless DOA estimation problem can be solved efficiently using the method of alternating projections (AP). We deem our solution `alternating projections based gridless DOA estimation,' or APG. Using insight from the derivation of APG we present a reduced dimension variation of APG, (RD-APG). The presented algorithms are compared in speed and accuracy to gridless DOA estimation solved using the current state of the art SDP solver.