Resource Allocation Optimization in Dual-RIS Cooperative Rate-Splitting Multiple Access Networks
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摘要: 速率拆分多址接入技术(RSMA)凭借灵活的干扰管理能力,被视为提升6G网络的频谱效率的关键使能技术。然而,现有RSMA方案仍存在用户公平性不足、可扩展性差及固定信道约束等问题。为此,该文提出双智能反射面(RIS)协作的RSMA通信系统,以充分挖掘RIS的信道重构潜力。系统通过双RIS间的联合反射建立级联视距链路,从而增强公共流解码性能并抑制复杂干扰。在满足用户服务质量(QoS)约束下,该文建立了以系统总传输速率最大化为目标的资源分配方案,对基站侧波束成形(BF)、速率拆分(RS)以及双RIS相位配置进行联合优化。针对变量强耦合与非凸性,该文提出了基于半正定松弛(SDR)和逐次凸逼近(SCA)的低复杂度交替优化算法。仿真结果表明,所提算法能有效收敛至高质量次优解;与现有先进方案相比,双RIS协作的RSMA系统在总传输速率上至少提升11.9%的增益,并显著改善了用户公平性和系统鲁棒性。Abstract:
Objective In Rate-Splitting Multiple Access (RSMA) systems, the achievable common-stream rate is limited by the user with the weakest channel quality. This constraint reduces scalability, robustness, and user fairness in dense 6G networks. Existing cooperative RSMA architectures partly reduce this bottleneck, but they remain constrained by fixed channel conditions and limited interference management. To address these issues, this paper proposes a dual Reconfigurable Intelligent Surface (RIS) cooperative RSMA system. Two cooperatively deployed RISs create additional controllable propagation paths through cascaded double reflection. The objective is to maximize the system sum rate by jointly optimizing Base Station (BS) Beamforming (BF), Rate Splitting (RS) strategies, and dual-RIS phase configurations, thereby improving spectral efficiency, robustness, and user fairness under users’ Quality of Service (QoS) constraints. Methods A tractable system model is developed for the dual-RIS cooperative RSMA system. The model captures cascaded multi-link channels, multi-node channel structures, and interference coupling. Based on this model, a joint optimization problem is formulated to maximize the system sum rate by optimizing BS BF, RS strategies, and the discrete phase shifts of both RISs. Because of strong variable coupling and non-convexity, a low-complexity Alternating Optimization (AO) algorithm is designed. The original problem is decomposed into three subproblems: BS-side RIS phase optimization, user-side RIS phase optimization, and BS BF optimization. Semidefinite Relaxation (SDR) and Successive Convex Approximation (SCA) are used to transform these subproblems into tractable convex forms, which are then solved iteratively with fast convergence. Results and Discussions Simulation results verify the effectiveness of the proposed dual-RIS cooperative RSMA system. The proposed AO algorithm converges within six iterations under different numbers of RIS reflecting elements, and it reaches 97.8% of the steady-state sum rate within three iterations when M = 170 ( Fig. 3 ). Compared with SOPS and RPS, the proposed phase-configuration scheme obtains 10.6% and 31.8% sum-rate gains when M = 190, respectively (Fig. 4 ). The proposed RSMA scheme also outperforms NOMA and SDMA by 10.0% and 14.6%, respectively (Fig. 5 ). Under M = 160 and b = 4, dual-RIS cooperation provides an 11.9% sum-rate gain over the single-RIS scheme, and its performance is close to the CPS upper bound (Fig. 6 ). Balanced allocation of reflecting elements between the two RISs further improves the sum rate (Fig. 7 ). The proposed BF strategy also outperforms ZF and RBF, achieving 33.2% and 336.5% gains at a transmit power of 30 dBm, respectively (Fig. 8 ). Under different RIS cooperation modes, the proposed joint optimization scheme achieves the best overall performance (Fig. 9 ). These results show that dual-RIS cooperative RSMA improves common-stream decoding, interference suppression, robustness, and user fairness.Conclusions This paper investigates a dual-RIS cooperative RSMA communication system. The proposed architecture improves common-stream decoding while mitigating complex interference. To maximize the system sum rate, BS BF vectors, RS vectors, and the discrete phase matrices of two RISs are jointly optimized. A low-complexity AO algorithm based on SDR and SCA is developed to solve the strongly coupled non-convex problem. Simulation results show that the proposed dual-RIS cooperative RSMA scheme achieves clear sum-rate gains over advanced benchmark schemes. Compared with the single-RIS mode and SDMA, it obtains 11.9% and 14.6% rate gains, respectively, while improving system robustness and user fairness. -
1 基于SDR和SCA的交替优化迭代算法
Initialize: 迭代次数$ n=1 $,最大迭代次数$ n\mathrm{_{max}} $,求解精度$ \epsilon $,$ {R}^{\left(0\right)}=0 $,初始化$ \boldsymbol{\theta }_{1}^{\left(0\right)} $、$ \boldsymbol{\theta }_{2}^{\left(0\right)} $、$ {\boldsymbol{w}}^{\left(0\right)} $和$ {\boldsymbol{c}}^{\left(0\right)} $. 1: while $ {R}^{\left(n\right)}-{R}^{\left(n-1\right)} \gt \epsilon $并且$ n \lt n\mathrm{_{max}} $do 2: 根据$ \boldsymbol{\theta }_{2}^{\left(n-1\right)} $,$ {\boldsymbol{w}}^{\left(n-1\right)} $和$ {\boldsymbol{c}}^{\left(n-1\right)} $,求解问题$ \mathcal{P}2.1.2 $,得到$ \boldsymbol{\varphi }_{1}^{\left(n\right)} $并重构秩一解,得到$ \boldsymbol{\theta }_{1}^{\left(n\right)} $; 3: 根据$ \boldsymbol{\theta }_{1}^{\left(n\right)} $,$ {\boldsymbol{w}}^{\left(n-1\right)} $和$ {\boldsymbol{c}}^{\left(n-1\right)} $,求解问题$ \mathcal{P}2.2 $,得到$ \boldsymbol{\varphi }_{2}^{\left(n\right)} $并重构秩一解,得到$ \boldsymbol{\theta }_{2}^{\left(n\right)} $; 4: 根据$ \boldsymbol{\theta }_{1}^{\left(n\right)} $和$ \boldsymbol{\theta }_{2}^{\left(n\right)} $,求解问题$ \mathcal{P}2.3.2 $,得到$ {\boldsymbol{W}}^{\left(n\right)} $和$ {\boldsymbol{c}}^{\left(n\right)} $; 5: 更新$ \boldsymbol{\varphi }_{1}^{\left(n-1\right)} $,$ \boldsymbol{\varphi }_{2}^{\left(n-1\right)} $和$ {\boldsymbol{W}}^{\left(n-1\right)} $; 6: 分解$ {\boldsymbol{W}}^{\left(n\right)} $得到$ {\boldsymbol{w}}^{\left(n\right)} $; 7: 根据$ \boldsymbol{\theta }_{1}^{\left(n\right)} $,$ \boldsymbol{\theta }_{2}^{\left(n\right)} $,$ {\boldsymbol{w}}^{\left(n\right)} $和$ {\boldsymbol{c}}^{\left(n\right)} $计算$ {R}^{\left(n+1\right)} $; 8: $ n=n+1 $; 9: end Output:$ R^{*}=R^{(n)} $; 表 1 仿真参数设置
参数 取值 BS天线数 4 系统带宽 1 MHz BS最大发射功率 30 dBm 噪声功率 –80 dBm/Hz RIS相位量化系数 4 用户最小速率阈值 0.5 Mbps -
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