
Abstract In this paper, beamforming for device-to-device multicast communication under channel uncertainty arising from incomplete channel state information is considered. The problem is first formulated as a non-robust minimization problem subject to signal-to-interference-plus-noise ratio, transmit power and interference constraints. Using semi-definite programming relaxation, a tractable convex robust counterpart of the beamforming problem was then formulated. Cases of deterministic and probabilistic interference constraints were considered. To simplify the probabilistic constraint, a cumulative distribution function substitution was used. The results show that the channel uncertainty error affects the optimal beamforming vector compared to the negligible effect of the probabilistic constraint.
Relay assisted D2D communication, Robust beamforming, Multicast communication, Convex optimization, Device-to-device communication
Relay assisted D2D communication, Robust beamforming, Multicast communication, Convex optimization, Device-to-device communication
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