RIS-ADMM: An ADMM-Based Passive and Sparse Sensing Method with Interference Removal

The reconfigurable intelligent surface (RIS) has been a potential technology for future radar and wireless communication applications. In this letter, the passive sensing problem using wireless communications signal and RIS is addressed in the scenario with the interference from the wireless access point (AP). An atomic norm minimization (ANM) method is formulated to exploit the target sparsity in the spatial domain and estimate the direction of arrival (DOA), but the conventional semidefinite programming (SDP)-based method to solve the ANM problem is complex and cannot be realized efficiently. Therefore, we proposed a RIS-ADMM method as an alternating direction method of multipliers (ADMM)-based iterative method. The closed-form expressions are derived, and the interference signal is also suppressed. Simulation results show that the proposed RIS-ADMM method outperforms the compared methods in the DOA estimation performance with low computational complexity. The code about the proposed method is avaliable online \url{https://github.com/chenpengseu/RIS-ADMM.git}.