Distributed transmit beamforming with 1-bit feedback for LoS-MISO channels

In this paper we develop a distributed transmit beamforming method for a Multiple Input Single Output (MISO) line of sight (LoS) channel requiring only one bit in feedback. We consider the case where several non cooperating transmitters are using the same frequency band without exchanging any information between each others. Each transmitter receives only 1-bit feedback from its own receiver. We develop a Nash seeking based precoder that adapts the Direction of Transmission (DoT) in such a way to maximize the probability of successful transmission of each transmitter. We also present numerical results which corroborate our claim.