Fast Node Communication ADMM-based Imaging Algorithm with a Compressive Reflector Antenna

This paper presents a norm-I regularized algorithm, based on the Alternating Direction Method of Multipliers (ADMM), in which the sensing matrix is divided by columns. This technique is based on sectioning the imaging domain into different regions and optimizing them in distributed computational nodes. The information shared among nodes is highly reduced compared to the consensus-based ADMM, when dividing the matrix by rows. The combination of the sectioning-based ADMM with the imaging capabilities of the recently proposed Compressive Reflector Antenna allows a distributed, real-time imaging with fast node communication.