Research on D2D Multi-multiplex Communication Resource Blocks Allocation Algorithm Based on Unbalanced Solution
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摘要: 针对小区内D2D多复用的通信资源块分配问题，该文以一个D2D用户分别复用2个和3个蜂窝为基础，提出基于非均衡求解的D2D多复用模式下的资源块分配方案。利用博弈论将资源块划分问题转化为求解被复用蜂窝用户收益联合最大问题。当纳什均衡解不存在时，分析目标函数特性，在可行域内求解“最优解”，保证对不均衡解处理的最优性；对于均衡解存在的情况，将其取整后作为资源分配方案依据，保持其最优性。通过理论分析及仿真实验表明该算法可以提升系统吞吐率，提高小区通信性能。Abstract: In order to solve the problem of the Device to Device (D2D) multi-multiplex communication resource blocks allocation in a cell, the resource blocks allocation scheme about D2D multi-multiplex mode based on non-equilibrium solution is proposed after analyzing a D2D user to multiplex two and three cells respectively. The problem of resource blocks partitioning is transformed into the problem of solving the joint revenue maximum value of the multiplexed cellular user by using game theory. When the Nash equilibrium solution does not exist, the objective function is analyzed, the "optimal solution" is solved in the feasible domain and the optimality of unbalanced solution processing is guaranteed. When the equilibrium solution exists, it is rounded up and used as the basis of the resource allocation scheme to maintain its optimality. The theoretical analysis and simulation results show that the proposed algorithm enhances significantly the system performance and sum rate.
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表 1 多复用资源分配策略
算法1 资源分配策略 (1)输入：
${N_0},{G_{i,j}},x,y,{z_1},{z_2}, ·\!·\!· ,{z_n},t,a,b,$${B_1},{B_2}, ·\!·\!· ,{B_n},{B_{\min }},{B_{\max }}$；(2)开始：计算${R_1},{R_2}, ·\!·\!· ,{R_n}$, ${U_1},{U_2}, ·\!·\!· ,{U_n}$,
${B_{10}},{B_{20}}, ·\!·\!· ,{B_{n0}}$；(3)资源分配 if ${\sum\nolimits_{i = 1}^n{B_{i0}}} < {B_{\min}}$ for $i=1$ to $i = n$
${B_i}_1 = \left\lceil {({B_{\min} } + (n - 1){B_i}_0 - {\sum\nolimits_{j = 1 \atop j \ne i }^n{B_{j0} } } /n} \right\rceil $；end for if $ {\sum\nolimits_{i = 1}^n{B_{i0}}} > {B_{\max}}$
for $i=1$ to $i = n$${B_i}_1 = \left\lfloor {({B_{\max} } + (n - 1){B_i}_0 - {\sum\nolimits_{j = 1 \atop j \ne i }^n{B_{j0} } } /n} \right\rfloor$ end for else for $i=1$ to $i = n$ ${B_i}_1 = \left[ { {B_{i0}} + 0.5} \right] $； end for end (4)输出：${B_{i1}},{B_{i2}}, ·\!·\!· ,{B_{in}}$ 
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表 2 仿真参数表
参数 取值 小区半径 1000 m D2D对最大通信范围 50 m 小区基站带宽 20 MHz CU的发射功率 25 dBm D2D用户的发射功率 0～25 dBm D2D对数量 10 CU数量 50 ${B_{\min}}$ 0.06 MHz ${B_{\max}}$ 0.8 MHz ${N_0}$ –117 dBm/Hz $\tau ,y,{z_1},{z_2}, ·\!·\!·,{z_n}$ 1 x 0.02 a,b 0.8 用户间路径损耗 $140 + 40\lg({d_{ij}}[{\rm{km}}])$ 基站与用户间路径损耗 $128 + 37.6\lg({d_{ij}}[{\rm{km}}])$ 阴影衰落 标准差为8的对数正态分布 多径衰落 均值为1的指数分布 用户噪声系数 9 dB 基站噪声系数 5 dB
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