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Weighted sum rate maximization with filtered multi-carrier modulations for D2D underlay communications

This paper studies the weighted sum rate maximization problem for device-to-device (D2D) underlay communications. Since each D2D transmitter is synchronized with its receiver, all D2D receivers get asynchronous interference from the other transmitters, and so does the Base Station (BS). This is modelled by a uniformly-distributed timing offset which generates inter-channel interferences in multi-carrier transmissions. Filter Bank based Multi-Carrier (FBMC) is then far more efficient than Orthogonal Frequency Division Multiplex (OFDM) to limit the inter-channel interference spread. In this context, D2D pairs are clustered through graph coloring in order to avoid high interference situations. Then we derive the weighted sum rate maximization algorithm with inter-channel interference and with an interference constraint at the BS. An iterative implementation of this algorithm converges to the global optimal solution, when the high Signal-to-Interference-plus-Noise Ratio (SINR) condition holds. Simulation results show that D2D users can be efficiently multiplexed, achieving high data rates while fulfilling the BS interference constraint.