Direction-of-Arrival Tracking via Low-Rank Plus Sparse Matrix Decomposition

In this letter, a novel method is proposed to track the direction-of-arrival (DOA) of moving sources using a uniform linear array and is named as Tracking via Low-rank and Sparse Recovery (TvLSR). Based on the low-rank property of stationary sources and the sparsity of moving sources, TvLSR tracks the DOA of sources over all snapshots integrally via a convex optimization, instead of via a series of DOA estimation snapshot-by-snapshot as some existing method. This method can track DOA efficiently with several other merits: applicability to complex scenarios, including multiple intersecting trajectories, no requirement of numbers of moving sources and stationary sources, and robustness to noisy perturbation. Numerical simulations are carried out to demonstrate the excellent performance of TvLSR for DOA tracking.