Exact(1)
Specifically, when the same time-frequency resource is shared between a single D2D pair and a cellular user, the optimization problem can be described as: begin{aligned} &mathop{max}limits_{{P_{n}},{P_{m}}} {log_{2}}left({1+{xi_{m}}}right) &mathop{min}limits_{{P_{n}},{P_{m}}} {log_{2}}left({1+xi_{n}^{text{no}}}right -{log_{2}}left({1+{xi_{n}right -{log_{2}}left} (4).
Similar(59)
Since the MBS transmits a data to some home users in inner region as well as U c cellular users including the neighboring cellular users, the average sum throughput of the neighboring cellular users is given as T c CA = ρ o T o CA, (52).
Meanwhile, when D2D pairs reuse the bandwidth resources being used by regular cellular users, the spectrum efficiency can be further improved.
The vertices (mathcal {V}) denote the communication links of the regular cellular users, the D2D pairs and the relays, while the edges (mathcal {E}) represent spectrum-sharing relationships among the communication links.
Players: (mathcal {N}) is the set of the regular cellular users, the D2D pairs, and the relays in the D2D communication network, which are the game players with N representing the number of all game players.
Unlike the time-slot allocation in open access, where the time fraction ρ i is dependent on the number of home users and cellular users, the time-slot allocation in the shared access optimizes η to maximize the network throughput T SA while satisfying QoS requirement.
When the D2D user reuses the resources allocated to the cellular user (CU), the interference yields and thus the resource scheduling scheme needs to be implemented to protect CUs and improve overall performance.
I Ck and I Bk represent the interference from the cellular user and the BS in cell k, respectively.
This is because that more base stations will be more possible to be active to serve for the nearest cellular user as the number of the cellular user increases, which can be also easily obtained from Eq. (4).
However, the cellular user produces the interference with each other, which is different from the single-cell scenario that no interference exists.
As shown in Fig. 1, the receiver of the D2D pair D1 is interfered by the cellular user C1, also the BS is interfered by the transmitter of the D2D pair D1.
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