Compressed Sensing‐Based Off‐Grid 2‐D DOA Estimation for Sparse L‐Shaped Array and Gain/Phase Uncertainties

ABSTRACT In this letter, we propose a novel algorithm for sparse L‐shaped array that addresses gain/phase uncertainties and off‐grid direction of arrival estimation using compressed sensing theory. Firstly, the receiving signal of the sparse array is structured into an errors in variables model. Then, a novel algorithm termed Improved Orthogonal Matching Pursuit‐Total Least Squares (IOMP‐TLS) is proposed for off‐grid signal reconstruction and gain/phase uncertainties estimation based on an enhanced greedy algorithm. Finally, the simulations show that our proposed algorithm is superior to many other methods in estimation performance.