Multi-Agent Coordination for Distributed Transmit Beamforming

TL;DR

This paper introduces a two time-scale optimization method enabling multiple agents with random positions and phases to coordinate their placement and signal adjustments for effective distributed beamforming, demonstrated through numerical results.

Contribution

It proposes a novel two time-scale algorithm for joint positioning and phase/amplitude control in multi-agent distributed beamforming systems.

Findings

The algorithm successfully reconstructs desired beam patterns.

Numerical results validate the effectiveness of the two time-scale approach.

The method handles random agent positions and phase offsets.

Abstract

This paper presents the formulation and analysis of a two time-scale optimization algorithm for multi-agent coordination for the purpose of distributed beamforming. Each agent is assumed to be randomly positioned with respect to each other with random phase offsets and amplitudes. Agents are tasked with coordinate among themselves to position themselves and adjust their phase offset and amplitude such that they can construct a desired directed beam. Here 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 to solve for the control required to re-position the agents. The numerical results given here indicate that the proposed two time-scale approach is able to reconstruct a desired beam pattern.