Resource efficient beamforming design for heterogeneous multiuser systems

Ying Lu, Lei Wei, Shiwen He, Yongming Huang, Luxi Yang
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Abstract

In this paper, we study a resource efficient coordinated beamforming design for the downlink of heterogeneous multiuser system. The objective function is formulated as maximizing the weighted sum per-cell resource efficiencies subject to per-user quality of service demands and per-cell transmit power constraints, which is hard to tackle due to the weighted sum-of-ratios form and the non-convex nature of the user rate. To solve this problem, we first introduce some auxiliary variables and transform it into an equivalent problem, which can be derived by the fractional programming and convex approximation method. Then, a resource efficient optimization algorithm is proposed to achieve the solution by exploiting geometric programming and second order cone programming. Numerical results verify the advantage of the proposed algorithm, and show that it converges to a stable point within a limited number of iterations.
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异构多用户系统的资源高效波束形成设计
本文研究了异构多用户系统下行链路的资源高效协调波束形成设计。目标函数被表述为在每个用户服务需求质量和每个小区发射功率约束下最大化每个小区的加权和资源效率,由于加权和比率形式和用户速率的非凸性质,这很难解决。为了解决这一问题,我们首先引入一些辅助变量,并将其转化为一个等效问题,该问题可由分数规划和凸逼近方法导出。在此基础上,提出了一种利用几何规划和二阶锥规划的资源高效优化算法。数值结果验证了该算法的优越性,并表明该算法在有限的迭代次数内收敛到一个稳定点。
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