DC Programming and DCA for Transmit Beamforming and Power Allocation in Multicasting Relay Network

This paper concerns a single-group multicasting relay network comprising of multiple amplify-and-forward relays forwarding signal from a single source to multiple destinations. The source, relays and destinations are equipped by single antennas. In this scenario, we deal with the problem of maximizing the minimum Quality of Service (QoS) assessed by the Signal to Noise Ratio (SNR) of the destinations subject to power constraints. This problem is actually a nonconvex optimization one with nonconvex constraints, which can be reformulated as a DC (Difference of Convex functions) program with DC constraints. We will apply an extension of DC programming and DCA (DC Algorithms) for solving it. Numerical experiments are carried out on several networks simulated under realistic conditions.