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We consider the problem of scheduling and power allocation for the downlinkof a 5G cellular system operating in the millimeter wave (mmWave) band andserving two sets of users: fix-rate (FR) users typically seen indevice-to-device (D2D) communications, and variable-rate (VR) users, or highdata rate services. The scheduling objective is the weighted sum-rate of bothFR and VR users, and the constraints ensure that active FR users get therequired rate. The weights of the objective function provide a trade-offbetween the number of served FR users and the resources allocated to VR users.For mmWave channels the virtual channel matrix obtained by applying fixeddiscrete-Fourier transform (DFT) beamformers at both the transmitter and thereceiver is sparse. This results into a sparsity of the resulting multipleaccess channel, which is exploited to simplify scheduling, first establishingan interference graph among users and then grouping users according to theirorthogonality. The original scheduling problem is solved using a graph-coloringalgorithm on the interference graph in order to select sub-sets of orthogonalVR users. Two options are considered for FR users: either they are chosenorthogonal to VR users or non-orthogonal. A waterfilling algorithm is then usedto allocate power to the FR users.

Beamforming and Scheduling for mmWave Downlink Sparse Virtual Channels With Non-Orthogonal and Orthogonal Multiple Access