Direction-of-Arrival Estimation From a Mixture of Linear and Magnitude-Only Measurements
Weijian Chen, Zai Yang, Zhiqiang Wei · IEEE Transactions on Vehicular Technology · 2025
We address the issue of direction-of-arrival (DOA) estimation by utilizing both linear and magnitude-only (phaseless) measurements. We formulate the DOA estimation problem as an$l_{2,1}$norm minimization problem by exploiting joint sparsity among the multi-snapshot measurements. We propose an algorithm based on the alternating direction method of multipliers (ADMM) in which both subproblems admit closed-form solutions. The proposed approach does not require any reference signals. Simulation results demonstrate that combining outputs of conventional antennas with magnitude-only antennas significantly improves the accuracy of DOA estimation, and the proposed$l_{2,1}$-ADMM algorithm outperforms the existing methods.