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LIU Yingting, TANG Yong, LI Xingwang. Secrecy Performance Analysis of Multi-Tag Bistatic Backscatter Communication Systems With Outdated CSI and Link Correlation[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT260823
Citation: LIU Yingting, TANG Yong, LI Xingwang. Secrecy Performance Analysis of Multi-Tag Bistatic Backscatter Communication Systems With Outdated CSI and Link Correlation[J]. Journal of Electronics & Information Technology. doi: 10.11999/JEIT260823

Secrecy Performance Analysis of Multi-Tag Bistatic Backscatter Communication Systems With Outdated CSI and Link Correlation

doi: 10.11999/JEIT260823 cstr: 32379.14.JEIT260823
Funds:  The National Natural Science Foundation of China (No.62561037, No.62571182), Key Project of Gansu Provincial Natural Science Foundation (No. 26JRRA058), The Youth Doctoral Support Project of Gansu Provincial Department of Education (No. 2024QB-045), Henan Provincial Natural Science Foundation (No.252300421510)
  • Received Date: 2026-06-18
  • Accepted Date: 2026-07-29
  • Rev Recd Date: 2026-07-13
  • Available Online: 2026-08-08
  •   Objective  Due to feedback delay, the channel state information (CSI) used in the tag selection phase may become outdated during the actual data transmission phase, leading to a mismatch between the selected tag and the actual optimal tag. Meanwhile, most existing studies on outdated CSI are based on the independent and identically distributed (i.i.d.) channel assumption, which may fail to accurately reflect the heterogeneous characteristics of practical links caused by different propagation distances. In addition, when the eavesdropping node is close to the destination, the legitimate and eavesdropping links may experience correlated fading. Ignoring these factors may lead to theoretical results that deviate from the actual system performance. Accordingly, under independent and non-identically distributed (i.n.i.d.) channel conditions, this paper studies the secrecy performance of a multi-tag BBC system subjected to the joint impact of outdated CSI and the correlation between the legitimate link and the eavesdropping link.  Methods  In this paper, candidate tags are ranked by their backscatter-link channel gains, and the tag with the largest gain is selected for transmission. An outdated CSI model is introduced to characterize the mismatch between the CSI used for tag selection and the actual CSI during data transmission. Since tag selection depends only on the backscatter-link CSI, outdated CSI is modeled only for this link. Meanwhile, a correlated Rayleigh fading model is adopted to capture the statistical dependence between the legitimate and eavesdropping links. Under i.n.i.d. Rayleigh fading, order statistics are used to derive the PDF of the selected tag’s outdated backscatter-link channel gain in (30)–(36) and the joint PDF of the legitimate and eavesdropping channel gains in (10)–(13). Based on these results, closed-form and high-transmit-power asymptotic expressions for the secrecy outage probability are obtained, and the secrecy performance is analyzed in terms of the gain ratio between the legitimate and eavesdropping links.  Results and Discussions  Monte Carlo simulations validate the analytical and asymptotic results. The results show that outdated CSI significantly degrades secrecy performance, as feedback delay may cause the CSI used for tag selection to differ from the actual CSI during transmission, so the selected tag may no longer provide the largest backscatter-link gain. For a fixed gain ratio between the legitimate and eavesdropping links, a secrecy outage floor emerges at high transmit power (Fig. 2), indicating that increasing transmit power alone cannot eliminate the performance bottleneck. In contrast, increasing the gain ratio effectively mitigates this floor and enables a secrecy diversity order of 1 (Fig. 4). Meanwhile, under the considered system model, correlation between the legitimate and eavesdropping links also improves secrecy performance (Fig. 3) by reducing the likelihood that the legitimate link experiences deep fading while the eavesdropping link remains strong. Moreover, despite outdated CSI, the proposed gain-order-based tag selection scheme remains effective and consistently outperforms random tag selection (Fig. 3).  Conclusions  This paper develops a secrecy-performance analysis framework for multi-tag BBC systems with outdated CSI and correlated legitimate and eavesdropping links. Closed-form SOP and high-transmit-power asymptotic expressions characterize the effects of CSI outdated, link correlation, and the legitimate-to-eavesdropping gain ratio. The results identify outdated CSI as a major source of secrecy degradation, highlighting the need for low-latency feedback. Enhancing the legitimate-link gain advantage and employing backscatter-link gain-based tag selection effectively improve system secrecy performance.
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  • [1]
    GU Bowen, LI Dong, DING Haiyang, et al. Breaking the interference and fading gridlock in backscatter communications: State-of-the-art, design challenges, and future directions[J]. IEEE Communications Surveys & Tutorials, 2025, 27(2): 870–911. doi: 10.1109/COMST.2024.3436082.
    [2]
    CUI Ziqi, WANG Gongpu, XU Rongtao, et al. Backscatter communications for green internet of things: Practical prototypes, open challenges, and standardization[J]. IEEE Internet of Things Magazine, 2025, 8(3): 32–39. doi: 10.1109/IOTM.001.2400127.
    [3]
    AHMED M, SHAHWAR M, KHAN F, et al. NOMA-based backscatter communications: Fundamentals, applications, and advancements[J]. IEEE Internet of Things Journal, 2024, 11(11): 19303–19327. doi: 10.1109/JIOT.2024.3391219.
    [4]
    MONDAL S, BEPARI D, CHANDRA A, et al. A comprehensive survey on NOMA-based backscatter communication for IoT applications[J]. IEEE Internet of Things Journal, 2025, 12(12): 18929–18953. doi: 10.1109/JIOT.2025.3548581.
    [5]
    徐勇军, 徐娟, 田秦语, 等. 基于统计信道状态信息的智能反射面辅助反向散射通信系统鲁棒资源分配算法[J]. 电子与信息学报, 2024, 46(5): 1986–1995. doi: 10.11999/JEIT231169.

    XU Yongjun, XU Juan, TIAN Qinyu, et al. Robust resource allocation algorithm for reconfigurable intelligent surface-assisted backscatter communication systems based on statistical channel state information[J]. Journal of Electronics & Information Technology, 2024, 46(5): 1986–1995. doi: 10.11999/JEIT231169.
    [6]
    徐勇军, 邱友静, 张海波. 智能反射面辅助的环境反向散射通信系统信道估计算法研究[J]. 电子与信息学报, 2025, 47(1): 75–83. doi: 10.11999/JEIT240395.

    XU Yongjun, QIU Youjing, and ZHANG Haibo. Channel estimation for intelligent reflecting surface assisted ambient backscatter communication systems[J]. Journal of Electronics & Information Technology, 2025, 47(1): 75–83. doi: 10.11999/JEIT240395.
    [7]
    刘英挺, 周治洋, 耿梦丹, 等. 反向散射通信中标签选择策略中断性能分析[J]. 电子与信息学报, 2024, 46(6): 2401–2408. doi: 10.11999/JEIT231001.

    LIU Yingting, ZHOU Zhiyang, GENG Mengdan, et al. Outage performance of tag selection scheme for backscatter communication systems[J]. Journal of Electronics & Information Technology, 2024, 46(6): 2401–2408. doi: 10.11999/JEIT231001.
    [8]
    叶迎晖, 徐瑞, 田雨佳, 等. 反向散射通信技术的研究与发展[J]. 电信科学, 2024, 40(1): 1–23. doi: 10.11959/j.issn.1000-0801.2024001.

    YE Yinghui, XU Rui, TIAN Yujia, et al. Research and development of backscatter communications technology[J]. Telecommunications Science, 2024, 40(1): 1–23. doi: 10.11959/j.issn.1000-0801.2024001.
    [9]
    张晓茜, 徐勇军. 面向零功耗物联网的反向散射通信综述[J]. 通信学报, 2022, 43(11): 199–212. doi: 10.11959/j.issn.1000-436x.2022199.

    ZHANG Xiaoxi and XU Yongjun. Survey on backscatter communication for zero-power IoT[J]. Journal on Communications, 2022, 43(11): 199–212. doi: 10.11959/j.issn.1000-436x.2022199.
    [10]
    LEI Yaxiong, YE Yinghui, CHU Xiaoli, et al. On the strict secrecy outage probability of wirelessly powered backscatter communications[J]. IEEE Transactions on Vehicular Technology, 2025, 74(5): 8345–8350. doi: 10.1109/TVT.2024.3523389.
    [11]
    LI Xingwang, JIANG Junjie, WANG Hao, et al. Physical layer security for wireless-powered ambient backscatter cooperative communication networks[J]. IEEE Transactions on Cognitive Communications and Networking, 2023, 9(4): 927–939. doi: 10.1109/TCCN.2023.3270425.
    [12]
    ZHANG Yu, GAO Feifei, FAN Lisheng, et al. Secure communications for multi-tag backscatter systems[J]. IEEE Wireless Communications Letters, 2019, 8(4): 1146–1149. doi: 10.1109/LWC.2019.2909199.
    [13]
    LIU Yingting, YE Yinghui, and HU R Q. Secrecy outage probability in backscatter communication systems with tag selection[J]. IEEE Wireless Communications Letters, 2021, 10(10): 2190–2194. doi: 10.1109/LWC.2021.3095969.
    [14]
    LIU Zhipeng, YE Yinghui, CHU Xiaoli, et al. Secrecy performance of backscatter communications with multiple self-powered tags[J]. IEEE Communications Letters, 2022, 26(12): 2875–2879. doi: 10.1109/LCOMM.2022.3201031.
    [15]
    LAI Xiazhi, FAN Lisheng, LEI Xianfu, et al. Distributed secure switch-and-stay combining over correlated fading channels[J]. IEEE Transactions on Information Forensics and Security, 2019, 14(8): 2088–2101. doi: 10.1109/TIFS.2019.2891932.
    [16]
    MICHALOPOULOS D S, SURAWEERA H A, KARAGIANNIDIS G K, et al. Amplify-and-forward relay selection with outdated channel estimates[J]. IEEE Transactions on Communications, 2012, 60(5): 1278–1290. doi: 10.1109/TCOMM.2012.032012.110430.
    [17]
    LI Enyu, WANG Xuhu, WU Zeju, et al. Outage performance of DF relay selection schemes with outdated CSI over Rayleigh fading channels[J]. IET Communications, 2018, 12(8): 984–993. doi: 10.1049/iet-com.2017.0611.
    [18]
    DENG Dan, LI Xingwang, DANG Shuping, et al. Outage analysis for tag selection in reciprocal backscatter communication systems[J]. IEEE Wireless Communications Letters, 2022, 11(2): 210–214. doi: 10.1109/LWC.2021.3122429.
    [19]
    LEI Yaxiong, YE Yinghui, CHU Xiaoli, et al. Partial secrecy performance analysis for wirelessly powered backscatter communications[J]. IEEE Wireless Communications Letters, 2025, 14(11): 3460–3464. doi: 10.1109/LWC.2025.3594264.
    [20]
    GRADSHTEYN I S and RYZHIK I M. Table of Integrals, Series, and Products[M]. 8th ed. Amsterdam: Academic Press, 2014. (查阅网上资料, 未找到本条文献页码信息, 请确认).
    [21]
    FAN Lisheng, LEI Xianfu, YANG Nan, et al. Secrecy cooperative networks with outdated relay selection over correlated fading channels[J]. IEEE Transactions on Vehicular Technology, 2017, 66(8): 7599–7603. doi: 10.1109/TVT.2017.2669240.
    [22]
    LIU Yingting, ZHOU Zhiyang, YE Yinghui, et al. Outage performance analysis for mutualistic symbiotic backscatter communication systems[J]. IEEE Transactions on Vehicular Technology, 2025, 74(2): 3457–3462. doi: 10.1109/TVT.2024.3472042.
    [23]
    WANG Jun, DING Xiangyu, ZHANG Qianqian, et al. Multiple access design for symbiotic radios: Facilitating massive IoT connections with cellular networks[J]. IEEE Transactions on Wireless Communications, 2024, 23(1): 201–216. doi: 10.1109/TWC.2023.3276887.
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