Device-to-device(D2D) underlaying communication brings great benefits to thecellular networks from the improvement of coverage and spectral efficiency atthe expense of complicated transceiver design. With frequency spectrum sharingmode, the D2D user generates interference to the existing cellular networkseither in downlink or uplink. Thus the resource allocation for D2D pairs shouldbe designed properly in order to reduce possible interference, in particularfor uplink. In this paper, we introduce a novel bandwidth allocation scheme tomaximize the utilities of both D2D users and cellular users. Since theallocation problem is strongly NP-hard, we apply a relaxation to theassociation indicators. We propose a low-complexity distributed algorithm andprove the convergence in a static environment. The numerical result shows thatthe proposed scheme can significant improve the performance in terms ofutilities.The performance of D2D communications depends on D2D user locations,the number of D2D users and QoS(Quality of Service) parameters.
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