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速率分割多址接入系統(tǒng)安全傳輸方案的設(shè)計(jì)與優(yōu)化

雷維嘉 謝科 唐宏 雷宏江

雷維嘉, 謝科, 唐宏, 雷宏江. 速率分割多址接入系統(tǒng)安全傳輸方案的設(shè)計(jì)與優(yōu)化[J]. 電子與信息學(xué)報(bào), 2024, 46(11): 4278-4286. doi: 10.11999/JEIT240389
引用本文: 雷維嘉, 謝科, 唐宏, 雷宏江. 速率分割多址接入系統(tǒng)安全傳輸方案的設(shè)計(jì)與優(yōu)化[J]. 電子與信息學(xué)報(bào), 2024, 46(11): 4278-4286. doi: 10.11999/JEIT240389
LEI Weijia, XIE Ke, TANG Hong, LEI Hongjiang. Design and Optimization of Secure Transmission Scheme for Rate-Splitting Multiple Access System[J]. Journal of Electronics & Information Technology, 2024, 46(11): 4278-4286. doi: 10.11999/JEIT240389
Citation: LEI Weijia, XIE Ke, TANG Hong, LEI Hongjiang. Design and Optimization of Secure Transmission Scheme for Rate-Splitting Multiple Access System[J]. Journal of Electronics & Information Technology, 2024, 46(11): 4278-4286. doi: 10.11999/JEIT240389

速率分割多址接入系統(tǒng)安全傳輸方案的設(shè)計(jì)與優(yōu)化

doi: 10.11999/JEIT240389
基金項(xiàng)目: 國(guó)家自然科學(xué)基金(61971080)
詳細(xì)信息
    作者簡(jiǎn)介:

    雷維嘉:男,教授,研究方向?yàn)闊o(wú)線通信和移動(dòng)通信技術(shù)

    謝科:男,碩士生,研究方向?yàn)樗俾史指疃嘀方尤牒臀锢韺影踩ㄐ偶夹g(shù)

    唐宏:男,教授,研究方向?yàn)橛?jì)算機(jī)網(wǎng)絡(luò)、移動(dòng)通信、大數(shù)據(jù)技術(shù)與應(yīng)用

    雷宏江:男,教授,研究方向?yàn)闊o(wú)線通信系統(tǒng)建模與分析、物理層安全

    通訊作者:

    謝科 1295390977@qq.com

  • 中圖分類號(hào): TN92

Design and Optimization of Secure Transmission Scheme for Rate-Splitting Multiple Access System

Funds: The National Natural Science Foundation of China (61971080)
  • 摘要: 該文研究基于速率分割多址接入的兩用戶下行安全傳輸?shù)姆桨冈O(shè)計(jì)與優(yōu)化問(wèn)題??紤]發(fā)給兩用戶的部分消息需要在用戶間保密的場(chǎng)景,在保證保密消息傳輸速率的條件下最大化非保密消息傳輸和速率。公共流僅傳輸非保密消息,而私有流分時(shí)傳輸非保密消息和保密消息,對(duì)各消息流發(fā)送預(yù)編碼矢量,速率分割、私有流非保密和保密消息傳輸時(shí)長(zhǎng)分配等進(jìn)行聯(lián)合優(yōu)化。通過(guò)將原問(wèn)題分解為兩層優(yōu)化問(wèn)題,并利用二分搜索、松弛變量、連續(xù)凸逼近等方法將原問(wèn)題進(jìn)行轉(zhuǎn)化和求解。仿真結(jié)果顯示,相較于私有流僅傳輸保密消息的速率分割多址接入和分時(shí)的空分多址接入方案,所提出的方案能獲得更高非保密傳輸速率。
  • 圖  1  RSMA安全傳輸系統(tǒng)模型

    圖  2  算法收斂過(guò)程

    圖  3  傳輸速率隨時(shí)長(zhǎng)分配系數(shù)的變化情況,Rs,th=0.6 bit/(s·Hz),N=4

    圖  4  非保密和速率隨基站發(fā)射功率的變化情況,Rs,th=0.1 bit/(s·Hz),N=4

    圖  5  非保密和速率隨保密傳輸速率要求值的變化情況,Pt=30 dBm,N=4

    圖  6  非保密和速率隨基站天線數(shù)量的變化情況,Pt=30 dBm

    圖  7  傳輸速率隨誤差因子的變化情況,Pt=30 dBm,Rs,th=0.1 bit/(s·Hz),N=4

    1  優(yōu)化問(wèn)題的求解算法

     (1)初始化參數(shù):迭代次數(shù)n=0,收斂因子ε, ${t^{\{ 0\} }}$, $ {\mathbf{f}}_{\text{c}}^{\{ 0\} } $, $ {\mathbf{f}}_{{\text{p,}}k}^{\{ 0\} } $,
       $ {\mathbf{f}}_{{\text{s,}}k}^{\{ 0\} } $, $ \rho _{{\text{p,}}k}^{\{ 0\} } $, $ \rho _{{\text{s,}}k}^{\{ 0\} } $, $ \rho _{{\text{c,}}k,i}^{\{ 0\} } $, $ \nu _{\bar k,k}^{\{ 0\} } $
     (2) while
     (3) n=n+1
     (4) 將優(yōu)化問(wèn)題中的$ {{\mathbf{\tilde f}}_{\text{c}}} $, $ {{\mathbf{\tilde f}}_{{\text{p,}}k}} $, $ {{\mathbf{\tilde f}}_{{\text{s,}}k}} $, $ {\tilde \rho _{{\text{p,}}k}} $, $ {\tilde \rho _{{\text{s,}}k}} $, $ {\tilde \rho _{{\text{c,}}k,i}} $和$ {\tilde \nu _{\bar k,k}} $分別
       置為$ {\mathbf{f}}_{\text{c}}^{\{ n - 1\} } $, $ {\mathbf{f}}_{{\text{p,}}k}^{\{ n - 1\} } $, $ {\mathbf{f}}_{{\text{s,}}k}^{\{ n - 1\} } $, $ \rho _{{\text{p,}}k}^{\{ n - 1\} } $, $ \rho _{{\text{s,}}k}^{\{ n - 1\} } $, $ \rho _{{\text{c,}}k,i}^{\{ n - 1\} } $
       和$ \nu _{\bar k,k}^{\{ n - 1\} } $求解問(wèn)題(24),得到最優(yōu)解$ {\mathbf{f}}_{\text{c}}^* $, $ {\mathbf{f}}_{{\text{p,}}k}^* $, $ {\mathbf{f}}_{{\text{s,}}k}^* $, $ \rho _{{\text{p,}}k}^* $,
       $ \rho _{{\text{s,}}k}^* $, $ \rho _{{\text{c,}}k,i}^* $, $ \nu _{\bar k,k}^* $和${t^*}$
     (5)更新$ {\mathbf{f}}_{\text{c}}^{\{ n\} } = {\mathbf{f}}_{\text{c}}^* $, $ {\mathbf{f}}_{{\text{p,}}k}^{\{ n\} } = {\mathbf{f}}_{{\text{p,}}k}^* $, $ {\mathbf{f}}_{{\text{s,}}k}^{\{ n\} } = {\mathbf{f}}_{{\text{s,}}k}^* $, $ \rho _{{\text{p,}}k}^{\{ n\} } = \rho _{{\text{p,}}k}^* $,
       $ \rho _{{\text{s,}}k}^{\{ n\} } = \rho _{{\text{s,}}k}^* $, $ \rho _{{\text{c,}}k,i}^{\{ n\} } = \rho _{{\text{c,}}k,i}^* $, $ \nu _{\bar k,k}^{\{ n\} } = \nu _{\bar k,k}^* $, ${t^{\{ n\} }} = {t^*}$
     (6) until $ \left| {\dfrac{{{t^{\{ n\} }} - {t^{\{ n - 1\} }}}}{{{t^{\{ n\} }}}}} \right| \le \varepsilon $
     (7)輸出:${t^*}$, $ {\mathbf{f}}_{\text{c}}^* $, $ {\mathbf{f}}_{{\text{p,}}k}^* $, $ {\mathbf{f}}_{{\text{s,}}k}^* $和$c_k^*$
    下載: 導(dǎo)出CSV

    2  時(shí)長(zhǎng)分配系數(shù)的優(yōu)化求解

     (1) l<θ<u,初始化l=0,u=1,收斂因子$\delta $
     (2) while
     (3) θ = (l+u)/2
     (4)調(diào)用算法1求解第2層優(yōu)化問(wèn)題
     (5)若當(dāng)前θ下問(wèn)題有可行解,則l=θ;否則u=$\theta $
     (6) until ul≤ $\delta $
     (7)輸出最優(yōu)的θ*=$\theta $
    下載: 導(dǎo)出CSV
  • [1] MAO Yijie, DIZDAR O, CLERCKX B, et al. Rate-splitting multiple access: Fundamentals, survey, and future research trends[J]. IEEE Communications Surveys & Tutorials, 2022, 24(4): 2073–2126. doi: 10.1109/COMST.2022.3191937.
    [2] LIU Yuanwei, QIN Zhijin, ELKASHLAN M, et al. Nonorthogonal multiple access for 5G and beyond[J]. Proceedings of the IEEE, 2017, 105(12): 2347–2381. doi: 10.1109/JPROC.2017.2768666.
    [3] CLERCKX B, MAO Yijie, JORSWIECK E A, et al. A primer on rate-splitting multiple access: Tutorial, myths, and frequently asked questions[J]. IEEE Journal on Selected Areas in Communications, 2023, 41(5): 1265–1308. doi: 10.1109/JSAC.2023.3242718.
    [4] CLERCKX B, MAO Yijie, SCHOBER R, et al. Rate-splitting unifying SDMA, OMA, NOMA, and multicasting in MISO broadcast channel: A simple two-user rate analysis[J]. IEEE Wireless Communications Letters, 2020, 9(3): 349–353. doi: 10.1109/LWC.2019.2954518.
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    [6] 雷維嘉, 張智, 雷宏江, 等. 速率分割多址接入系統(tǒng)中的協(xié)作中繼傳輸策略與優(yōu)化[J]. 北京郵電大學(xué)學(xué)報(bào), 2024, 47(2): 58–65. doi: 10.13190/j.jbupt.2023-096.

    LEI Weijia, ZHANG Zhi, LEI Hongjiang, et al. Cooperative relay transmission strategy and optimization in rate-splitting multiple access system[J]. Journal of Beijing University of Posts and Telecommunications, 2024, 47(2): 58–65. doi: 10.13190/j.jbupt.2023-096.
    [7] SI Zhiwen, YIN Longfei, and CLERCKX B. Rate-splitting multiple access for multigateway multibeam satellite systems with feeder link interference[J]. IEEE Transactions on Communications, 2022, 70(3): 2147–2162. doi: 10.1109/TCOMM.2022.3144487.
    [8] PAPAZAFEIROPOULOS A and RATNARAJAH T. Rate-splitting robustness in multi-pair massive MIMO relay systems[J]. IEEE Transactions on Wireless Communications, 2018, 17(8): 5623–5636. doi: 10.1109/TWC.2018.2847668.
    [9] TONG Yuqiao, LI Dongdong, YANG Zhutian, et al. Cooperative rate splitting secure transmission with an untrusted user relay[J]. IEEE Transactions on Vehicular Technology, 2022, 72(2): 2667–2671. doi: 10.1109/TVT.2022.3211763.
    [10] TONG Yuqiao, LI Dongdong, YANG Zhutian, et al. Outage analysis of rate splitting networks with an untrusted user[J]. IEEE Transactions on Vehicular Technology, 2023, 72(2): 2626–2631. doi: 10.1109/TVT.2022.3209794.
    [11] XIA Huiyun, MAO Yijie, CLERCKX B, et al. Weighted sum-rate maximization for rate-splitting multiple access based secure communication[C]. 2022 IEEE Wireless Communications and Networking Conference, Austin, USA, 2022: 19–24. doi: 10.1109/WCNC51071.2022.9771854.
    [12] FU Hao, FENG Suili, TANG Weijun, et al. Robust secure beamforming design for two-user downlink MISO rate-splitting systems[J]. IEEE Transactions on Wireless Communications, 2020, 19(12): 8351–8365. doi: 10.1109/TWC.2020.3021725.
    [13] XIA Huiyun, ZHOU Xiaokang, HAN Shuai, et al. Security-reliability tradeoff in RSMA-based communications against eavesdropper collusion[J]. IEEE Wireless Communications Letters, 2023, 12(9): 1504–1507. doi: 10.1109/LWC.2023.3279860.
    [14] XIA Huiyun, HAN Shuai, and LI Cheng. Max-min fair optimization in RSMA-assisted secure communications with artificial noise[J]. IEEE Communications Letters, 2023, 27(12): 3181–3184. doi: 10.1109/LCOMM.2023.3328782.
    [15] JOUDEH H and CLERCKX B. Sum-rate maximization for linearly precoded downlink multiuser MISO systems with partial CSIT: A rate-splitting approach[J]. IEEE Transactions on Communications, 2016, 64(11): 4847–4861. doi: 10.1109/TCOMM.2016.2603991.
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出版歷程
  • 收稿日期:  2024-05-17
  • 修回日期:  2024-09-23
  • 網(wǎng)絡(luò)出版日期:  2024-09-27
  • 刊出日期:  2024-11-10

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