Multi-Agent Coordination for Distributed Transmit Beamforming

This paper considers the problem of distributed beamforming using multi-agent coordination. Each agent is equipped with an antenna and the agents represent the individual elements in an antenna array. The agents are tasked to coordinate their relative location, phase offsets, and amplitude to construct a desired beam-pattern. As a prospective solution, we propose a two time-scale optimization algorithm that consists of a fast time-scale algorithm to solve for the amplitude and phase while a slow time-scale algorithm re-position the agents. In addition, the framework is further extended to the scenarios where the exact parameters of the model are unknown and a model-free optimization based on real-time feedback is proposed. The numerical results given here indicate the proposed approaches reconstruct the desired beam pattern.