In this paper, we investigate the problem of resource allocation for fluid antenna relay (FAR) system with antenna location optimization. In the considered model, each user transmits information to a base station (BS) with help of FAR. The antenna location of the FAR is flexible and can be adapted to dynamic location distribution of the users. We formulate a sum rate maximization problem through jointly optimizing the antenna location and bandwidth allocation with meeting the minimum rate requirements, total bandwidth budget, and feasible antenna region constraints. To solve this problem, we obtain the optimal bandwidth in closed form. Based on the optimal bandwidth, the original problem is reduced to the antenna location optimization problem and an alternating algorithm is proposed. Simulation results verify the effectiveness of the proposed algorithm and the sum rate can be increased by up to 125% compared to the conventional schemes.

翻译：本文研究了具有天线位置优化的流体天线中继（FAR）系统中的资源分配问题。在所考虑模型中，每个用户借助FAR向基站（BS）传输信息。FAR的天线位置灵活可变，能够适应用户动态的位置分布。我们通过联合优化天线位置和带宽分配，在满足最小速率需求、总带宽预算和可行天线区域约束的条件下，构建了一个总和速率最大化问题。为解决该问题，我们得到了带宽分配的闭式最优解。基于最优带宽，原问题简化为天线位置优化问题，并提出了交替优化算法。仿真结果验证了所提算法的有效性，与传统方案相比，总和速率可提升高达125%。