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浙江大学学报(工学版)  2026, Vol. 60 Issue (4): 906-914    DOI: 10.3785/j.issn.1008-973X.2026.04.022
电子与信息工程     
通信感知一体化系统中的联合波形与相移设计
杨青青1,2(),唐润朋1,2,彭艺1,2,*()
1. 昆明理工大学 信息工程与自动化学院,云南 昆明 650500
2. 昆明理工大学 云南省计算机重点实验室,云南 昆明 650500
Joint waveform and phase shift design in integrated sensing and communication systems
Qingqing YANG1,2(),Runpeng TANG1,2,Yi PENG1,2,*()
1. School of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, China
2. Yunnan Provincial Key Laboratory of Computer Science, Kunming University of Science and Technology, Kunming 650500, China
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摘要:

针对如何在可重构智能表面(RIS)辅助通信感知一体化(ISAC)系统中有效提升系统容量的问题,提出RIS单元的不规则拓扑结构以及深度强化学习(DRL)算法. 采用模拟退火算法用于解决不规则RIS的拓扑优化问题,以提高在有限元件数量下的最优空间利用效率. 在感知波束图增益约束下,分别采用Adam优化器结合传统的梯度下降法与基于DRL的方法来解决最小化用户间干扰(MUI)的问题. 具体而言,DRL方案通过深度Q网络(DQN)与近端策略优化(PPO)这2种算法分别处理RIS的离散相移控制和ISAC的恒模波形设计. 仿真结果表明,基于DRL算法的不规则RIS辅助通感一体化系统的加权和速率(WSR)相较传统RIS方案提升了13.3%. DRL算法在抑制恒模波束能量泄漏方面具有更显著的优势,进一步验证了不规则RIS的拓扑设计和DRL算法在通感一体化系统中协同优化的可行性.

关键词: 通信感知一体化(ISAC)不规则可重构智能表面(RIS)联合波形设计相移矩阵深度强化学习(DRL)    
Abstract:

An irregular topology of reconfigurable intelligent surface (RIS) elements, combined with deep reinforcement learning (DRL) algorithms, was proposed to enhance the capacity of integrated sensing and communication (ISAC) systems. A simulated annealing algorithm was employed to solve the topological structure optimization problem of irregular RIS, ensuring optimal spatial utilization efficiency under a limited number of elements. Under the constraint of sensing beam pattern gain, multi-user interference (MUI) was minimized by two approaches. The first combined the Adam optimizer with traditional gradient descent. The second relied on DRL, where discrete RIS phase shifts and constant-modulus ISAC waveform design were managed by deep Q-network (DQN) and proximal policy optimization (PPO), respectively. Simulation results indicated that the weighted sum rate (WSR) of the irregular RIS-assisted system optimized by DRL increased by 13.3% compared with the conventional RIS scheme. The DRL algorithm also showed stronger capability in suppressing constant-modulus beam energy leakage. These results confirmed the feasibility of jointly optimizing irregular RIS topology and DRL algorithms in integrated sensing and communication systems.

Key words: integrated sensing and communication (ISAC)    irregular reconfigurable intelligent surface (RIS)    joint waveform design    phase shift matrix    deep reinforcement learning (DRL)
收稿日期: 2025-05-14 出版日期: 2026-03-19
CLC:  TN 929.5  
基金资助: 国家自然科学基金资助项目 (62461030);云南省基础研究重点项目 (202401AS070105).
通讯作者: 彭艺     E-mail: 20090119@kust.edu.cn;12309214@kust.edu.cn
作者简介: 杨青青(1981—),女,博士,从事无人机路径规划、智能反射面辅助通信研究. orcid.org/0009-0004-4584-6381. E-mail:20090119@kust.edu.cn
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引用本文:

杨青青,唐润朋,彭艺. 通信感知一体化系统中的联合波形与相移设计[J]. 浙江大学学报(工学版), 2026, 60(4): 906-914.

Qingqing YANG,Runpeng TANG,Yi PENG. Joint waveform and phase shift design in integrated sensing and communication systems. Journal of ZheJiang University (Engineering Science), 2026, 60(4): 906-914.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.04.022        https://www.zjujournals.com/eng/CN/Y2026/V60/I4/906

图 1  不规则RIS辅助通信感知一体化系统模型
图 2  深度神经网络(DNN)
图 3  深度强化学习网络架构示意图
仿真参数取值
用户数量$ K $3
感知目标数量Q2
基站天线数量$ M $/根8
系统带宽$ B/\text{MHz} $10
总发射功率$ {P}_{\mathrm{t}}/\text{dBm} $25
噪声功率$ {\sigma }^{2}/\text{dBm} $?170
不规则RIS元件总数$ N_{\mathrm{s}} $128
最小波束图增益$ \varGamma /\mathrm{dBm} $10
误差范围$ \eta $0.01
初始温度$ {T}_{0} $100
温度衰减因子$ a $0.9
一阶矩估计指数衰减$ {\beta }_{1} $0.9
二阶矩估计指数衰减$ {\beta }_{2} $0.999
迭代次数$ {{\mathrm{iter}}}_{\mathrm{Adam}} $400
数值稳定因子$ \varepsilon $0.00 000 001
学习率$ {\alpha }_{\mathrm{SA}}/{\alpha }_{\mathrm{DQN}}/{\alpha }_{\mathrm{PPO}} $0.001/0.001/0.0003
折扣因子$ \gamma $0.99
经验回放池容量$ {D} $100 000
探索率$ {\varepsilon }_{\mathrm{DQN}} $1.00~0.01
裁剪范围$ {\varepsilon }_{\mathrm{PPO}} $0.2
训练回合数100
每回合步骤数8 000
表 1  不规则RIS辅助通感一体化系统仿真参数设置
图 4  不同RIS拓扑部署结构下对应的加权和速率图
图 5  不同批量大小下的即时奖励曲线图
图 6  不同传输功率下的即时奖励曲线图
图 7  不同基站传输功率下的平均奖励曲线图
图 8  所提算法在不同量化级别下的多用户干扰变化情况图
图 9  所提算法在不同RIS辅助下的系统加权和速率随基站功率$ {P}_{\mathrm{t}} $变化图
图 10  所提算法在不同RIS辅助下的系统和速率随基站信噪比变化图
图 11  所提算法在不同RIS辅助下的系统加权和速率随RIS元件数量变化图
图 12  不同方案下的基站波束强度图
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