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We consider a device-to-device (D2D) underlaid cellular network, where eachcellular channel can be shared by several D2D pairs and only one channel can beallocated to each D2D pair. We try to maximize the sum rate of D2D pairs whilelimiting the interference to cellular links. Due to the lack of globalinformation in large scale networks, resource allocation is hard to beimplemented in a centralized way. Therefore, we design a novel distributedresource allocation scheme which is based on local information and requireslittle coordination and communication between D2D pairs. Specifically, wedecompose the original problem into two cascaded subproblems, namely channelallocation and power control. The cascaded structure of our scheme enables usto cope with them respectively. Then a two-stage algorithm is proposed. In thefirst stage, we model the channel allocation problem as a many-to-one matchingwith externalities and try to find a strongly swap-stable matching. In thesecond stage, we adopt a pricing mechanism and develop an iterative two-stepalgorithm to solve the power control problem.

A Cascaded Channel-Power Allocation for D2D Underlaid Cellular Networks Using Matching Theory