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功能的流体天线中继（FAR）系统的资源分配问题。在所考虑的模型中，每个用户在FAR的协助下向基站（BS）传输信息。FAR的天线位置具有灵活性，能够适应用户的动态位置分布。我们通过联合优化天线位置和带宽分配，在满足最低速率要求、总带宽预算以及可行天线区域约束的条件下，构建了一个和速率最大化问题。为解决该问题，我们以闭式形式获得了最优带宽。基于最优带宽，原始问题被简化为天线位置优化问题，并提出了一种交替优化算法。仿真结果验证了所提算法的有效性，与常规方案相比，和速率最高可提升125%。