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.