Research on Power Allocation Algorithm of Multi-to-One Multiplexing D2D Communication Underlaying Full Load Cellular Networks
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摘要:
针对全负载蜂窝网络中D2D通信的功率分配问题，该文提出了一种基于非合作完全信息博弈纳什均衡解的多复用D2D通信功率分配算法。以优先保证蜂窝用户通信质量与D2D用户接入率为前提，设置D2D通信系统上行链路帧结构，之后建立非合作完全信息博弈系统模型，引入定价机制到功率分配博弈模型中并分析纳什均衡解的存在性与唯一性，最后给出该模型的分布式迭代求解算法。仿真结果表明，随着D2D用户复用数量的增加，该算法在提升系统吞吐量的同时，能有效地控制系统内部干扰，大幅度降低系统总能耗。
Abstract:Considering power allocation of D2D (Device to Device) communication in fully loaded cellular networks, a multi-to-one multiplexing D2D communication power allocation algorithm based on the Nash equilibrium solution of non-cooperative complete information game is proposed. The communication quality of cellular users and the access rate of D2D users are guaranteed first, and the uplink frame structure of D2D communication system is given. Then, the non-cooperative complete information game model is established. After that, the pricing mechanism is introduced into the power distribution game model, and the existence and uniqueness of the Nash equilibrium solution are analyzed. Finally, the paper gives a distributed iterative algorithm for the model. The simulation results show that with the increase of the number of D2D pairs, the algorithm not only improves the system throughput, but also controls the internal interference of the system effectively, reduces the total energy consumption of the system greatly.
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Key words:
- Wireless communications /
- D2D communications /
- Power distribution /
- Game theory
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表 1 多复用D2D通信功率分配算法
算法1：功率分配算法 输入：$S_{{\rm{max}}}^{D_q},\;\lambda _j^D,\;\varepsilon ,\;\alpha ,\;\chi ,\;{N_0},\;{{{Z}}_{p,q}},\;{{{Y}}_{p,q}}$ 输出：$S_1^{D_q},\;S_2^{D_q},\;S_3^{D_q},\; ··· ,\;S_q^{D_q},\;{ {{T} }_{{\rm{sum}}} }$ (1) for $i = 1$ to $p$ do (2) calculate ${{{Y}}_{i,i}} = S_i^{C_p}$ (3) if $S_i^{C_p} \ge S_{\max }^{C_p}$ then $S_i^{C_p} = S_{\max }^{C_p}$ (4) end for (5) $t = 0 , {\xi _{i,j}} = 1 , S_j^{D_q}(0) = S_{\max }^{D_q}$ (6) for $i = 1$ to $p$ do (7) for $j = 1$ to $n$ do (8) $t = t + 1$
(9) $S_j^{D_q}(t) = \frac{B}{ {\lambda _j^D\ln 2} } - \dfrac{ {\mu \left[ {\sigma _N^2 \!+\! \displaystyle\sum\limits_{k = 1,k \ne j}^n { {\xi _{i,j} }S_k^{D_q}(t \!-\! 1){H_{j,k} } } } \right]} }{ { {g_j} } }$(10) if $S_j^{D_q}(t) < S_{\min }^{D_q}$ then $S_j^{D_q}(t) = S_{\min }^{D_q}$ (11) if $S_j^{D_q}(t) > S_{\max }^{D_q}$ then $S_j^{D_q}(t) = S_{{\rm{max}}}^{D_q}$ (12) end for (13) if $\left| {S_j^{D_q}(t) - S_j^{D_q}(t - 1)} \right| < \varepsilon ,j \in \left[ {1,n} \right]$ then (14) calculate ${ {{Z} }_{i,j} } , { {{T} }_{{\rm{sum}}} }$ (15) else go to step (8) (16) end for 
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表 2 仿真参数
参数 数值 小区半径 1000 m 路径损耗常数($\alpha $) 0.01 路径损耗指数($\chi $) 4 ${N_0}$ –114 dBm/Hz 蜂窝用户最大发射功率 48 dBm D2D用户的最大发射功率 24 dBm 系统带宽 180 kHz 多径衰落 单位均值的指数分布 阴影衰落 均值为0，标准差为8的正态分布 蜂窝用户数 20 D2D用户对数量 60～140 D2D用户之间最大距离 50 m 系统误码率BER ${10^{ - 4}}$
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