Collaborative Beamforming for Agents with Localization Errors
Authors : Erfaun Noorani, Yagiz Savas, Alec Koppel, John Baras, Ufuk Topcu, and Brian M. Sadler
Conference : Asilomar 2021 pp. 204-208 , California
Date: October 31 - November 03, 2021
We consider a group of agents that estimate their locations in an environment through sensor measurements and aim to transmit a message signal to a client via collaborative beamforming. Assuming that the localization error of each agent follows a Gaussian distribution, we study the problem of forming a reliable communication link between the agents and the client that achieves a desired signal-to-noise ratio (SNR) at the client with minimum variability. In particular, we develop a greedy subset selection algorithm that chooses only a subset of the agents to transmit the signal so that the variance of the received SNR is minimized while the expected SNR exceeds a desired threshold. We show the optimality of the proposed algorithm when the agents’ localization errors satisfy certain sufficient conditions that are characterized in terms of the carrier frequency.
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