Outage Performance of Relay-assisted Parasitic Backscatter Communication Networks
-
摘要: 已有寄生反向散射通信网络依赖于收发机之间存在的直达链路，从而无法应用于直达链路深度衰落或不存在场景。针对上述问题，该文提出一种中继辅助的寄生反向散射通信网络，并分析所提网络的中断性能。具体而言，依据所提网络推导得到主系统和次系统的瞬时信噪比，并在考虑次用户能量因果约束的条件下定义了主次系统中断概率，接着利用数学知识推导得到瑞利衰落模型下的主次系统中断概率表达式，最后通过计算机仿真验证了所推导的主次系统中断概率表达式的准确性，并分析了不同系统参数对主、次系统中断概率的影响。Abstract: The existing parasitic backscatter communications rely on the direct links between transceivers and do not work when the direct links are blocked or fade deeply. To solve this problem, a relay-assisted parasitic backscatter communication network is proposed, base on which its outage performance is analyzed. Specifically, according to the proposed network, the instantaneous signal-to-noise ratios to decode the primary and secondary systems are given, and then the outage probabilities of primary and secondary systems on the basis of the energy-causality constraint of the secondary user are defined. Under the Rayleigh channel fading model, the expressions for the outage probability of the primary and secondary systems can be obtained by exploiting mathematical theory. Computer simulations validate the accuracy of the derived primary and secondary system outage probabilities, on which the impacts of different system parameters are analyzed.
-
Key words:
- Backscatter communications /
- Energy harvesting /
- Relay /
- Outage probability
-
表 1 主系统中断概率表达情况总结
不同参数设置 主系统中断概率表达式$ P_{{\text{out}}}^p $ $ {a_1} - \gamma _{{\text{th}}}^s{a_2} \gt 0 $ $ \begin{gathered} 1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{{A_5}}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right)\left( {{P_{111}} - {P_{112}}} \right) - {P_{112}}\exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{{A_6}}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right) \\ - \exp \left( { - \dfrac{{{A_3}}}{{{\lambda _0}}} - \dfrac{{{A_6}}}{{{\lambda _3}}}} \right)\left( {1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}}} \right)} \right) \\ \end{gathered} $ $ {a}_{1}-{\gamma }_{\text{th}}^{s}{a}_{2}\le 0,且{a}_{2}-{\gamma }_{\text{th}}^{c}{a}_{1} \gt 0 $ $ \begin{gathered} 1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{\max \left( {{A_7},{A_8}} \right)}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right)\left( {{P_{111}} - {P_{112}}} \right) - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{{A_6}}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right){P_{112}} \\ - \exp \left( { - \dfrac{{{A_3}}}{{{\lambda _0}}} - \dfrac{{{A_6}}}{{{\lambda _3}}}} \right)\left( {1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}}} \right)} \right) \\ \end{gathered} $ $ {a}_{1}-{\gamma }_{\text{th}}^{s}{a}_{2}\le 0,且{a}_{2}-{\gamma }_{\text{th}}^{c}{a}_{1}\le 0 $ $ 1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{{A_6}}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right){P_{112}} - \exp \left( { - \dfrac{{{A_3}}}{{{\lambda _0}}} - \dfrac{{{A_6}}}{{{\lambda _3}}}} \right)\left( {1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}}} \right)} \right) $ $ {P_{111}} = - \dfrac{{{\lambda _0}}}{{{A_2}{\lambda _1}{\lambda _2}}}\exp \left( {\dfrac{{{\lambda _0}}}{{{\lambda _1}{\lambda _2}{A_2}}}} \right){\text{Ei}}\left( { - \dfrac{{{\lambda _0}}}{{{\lambda _1}{\lambda _2}{A_2}}}} \right) $，$ {P_{112}} = \dfrac{{\pi {A_4}}}{{{\lambda _1}{\lambda _2}M}}\displaystyle\sum\limits_{m = 1}^M {\sqrt {1 - v_m^2} {K_0}\left( {2\sqrt {\dfrac{{{\kappa _m}}}{{{\lambda _1}{\lambda _2}}}} } \right)\exp \left( { - \dfrac{{{A_2}{\kappa _m}}}{{{\lambda _0}}}} \right)} $，
$ {A_1} = \dfrac{{{P_{\text{c}}}d_1^{{\alpha _1}}}}{{\eta \left( {1 - \beta } \right){P_0}}},{A_2} = \gamma _{{\text{th}}}^sd_0^{{\alpha _0}}\beta d_1^{ - {\alpha _1}}d_2^{ - {\alpha _2}},{A_3} = \dfrac{{\gamma _{{\text{th}}}^sd_0^{{\alpha _0}}{\sigma ^2}}}{{{P_0}}},{A_4} = \dfrac{{\gamma _{{\text{th}}}^c{\sigma ^2}d_1^{{\alpha _1}}d_2^{{\alpha _2}}}}{{{P_0}\beta }},{A_5} = \dfrac{{\gamma _{{\text{th}}}^s{\sigma ^2}d_3^{{\alpha _3}}}}{{{P_{\text{R}}}\left( {{a_1} - \gamma _{{\text{th}}}^s{a_2}} \right)}} $，$ {A_6} = \dfrac{{\gamma _{{\text{th}}}^sd_3^{{\alpha _3}}{\sigma ^2}}}{{{P_{\text{R}}}}} $，
$ {A_7} = \dfrac{{\gamma _{{\text{th}}}^c{\sigma ^2}d_3^{{\alpha _3}}}}{{{P_{\text{R}}}\left( {{a_2} - \gamma _{{\text{th}}}^c{a_1}} \right)}},{A_8} = \dfrac{{\gamma _{{\text{th}}}^sd_3^{{\alpha _3}}{\sigma ^2}}}{{{P_{\text{R}}}{a_1}}} $
下载: 导出CSV
表 2 次系统中断概率表达情况总结
不同参数设置 次系统中断概率表达式$ P_{{\text{out}}}^b $ $ {a_1} - \gamma _{{\text{th}}}^s{a_2} \gt 0 $ $ 1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{\max \left( {{A_5},{A_9}} \right)}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right)\left( {{P_{111}} - {P_{112}}} \right) $ $ {a}_{1}-{\gamma }_{\text{th}}^{s}{a}_{2}\le 0,且{a}_{2}-{\gamma }_{\text{th}}^{c}{a}_{1} \gt 0 $ $ 1 - \exp \left( { - \dfrac{{{A_1}}}{{{\lambda _1}}} - \dfrac{{{A_7}}}{{{\lambda _3}}} - \dfrac{{{A_3}}}{{{\lambda _0}}}} \right)\left( {{P_{111}} - {P_{112}}} \right) $ $ {a}_{1}-{\gamma }_{\text{th}}^{s}{a}_{2}\le 0,且{a}_{2}-{\gamma }_{\text{th}}^{c}{a}_{1}\le 0 $ $ 1 $ $ {P_{111}} = - \dfrac{{{\lambda _0}}}{{{A_2}{\lambda _1}{\lambda _2}}}\exp \left( {\dfrac{{{\lambda _0}}}{{{\lambda _1}{\lambda _2}{A_2}}}} \right){\text{Ei}}\left( { - \dfrac{{{\lambda _0}}}{{{\lambda _1}{\lambda _2}{A_2}}}} \right) $，$ {P_{112}} = \dfrac{{\pi {A_4}}}{{{\lambda _1}{\lambda _2}M}}\displaystyle\sum\limits_{m = 1}^M {\sqrt {1 - v_m^2} {K_0}\left( {2\sqrt {\dfrac{{{\kappa _m}}}{{{\lambda _1}{\lambda _2}}}} } \right)\exp \left( { - \dfrac{{{A_2}{\kappa _m}}}{{{\lambda _0}}}} \right)} $，
$ {A_1} = \dfrac{{{P_{\text{c}}}d_1^{{\alpha _1}}}}{{\eta \left( {1 - \beta } \right){P_0}}},{A_2} = \gamma _{{\text{th}}}^sd_0^{{\alpha _0}}\beta d_1^{ - {\alpha _1}}d_2^{ - {\alpha _2}},{A_3} = \dfrac{{\gamma _{{\text{th}}}^sd_0^{{\alpha _0}}{\sigma ^2}}}{{{P_0}}},{A_4} = \dfrac{{\gamma _{{\text{th}}}^c{\sigma ^2}d_1^{{\alpha _1}}d_2^{{\alpha _2}}}}{{{P_0}\beta }},{A_5} = \dfrac{{\gamma _{{\text{th}}}^s{\sigma ^2}d_3^{{\alpha _3}}}}{{{P_{\text{R}}}\left( {{a_1} - \gamma _{{\text{th}}}^s{a_2}} \right)}} $，$ {A_7} = \dfrac{{\gamma _{{\text{th}}}^c{\sigma ^2}d_3^{{\alpha _3}}}}{{{P_{\text{R}}}\left( {{a_2} - \gamma _{{\text{th}}}^c{a_1}} \right)}} $，
$ {A_9} = \dfrac{{\gamma _{{\text{th}}}^cd_3^{{\alpha _3}}{\sigma ^2}}}{{{P_{\text{R}}}{a_2}}} $
下载: 导出CSV
表 3 仿真参数设置
参数名称 参数符号 数值 路径损耗 ${\alpha _0},{\alpha _1},{\alpha _2},{\alpha _3}$ 2.7 噪声功率 (W) ${\sigma ^2}$ 10－9 PT到R的距离(m) ${d_{\text{0}}}$ 50 PT到BN的距离(m) ${d_{\text{1}}}$ 5 BN到R的距离(m) ${d_{\text{2}}}$ 48 R到D的距离(m) ${d_{\text{3}}}$ 100 PT、R的发射功率(dBm) ${P_0},{P_{\text{R}}}$ 30 BN反向散射系数 $\beta $ 0.8 BN反向散射通信功耗(μW) ${P_c}$ 8.9 BN能量转换效率 $\eta $ 0.8 PT的目标速率(bit/Hz) $R_{{\text{th}}}^s$ 1 BN的目标速率(bit/Hz) $R_{{\text{th}}}^c$ 0.1 R处功率分配因子 ${a_1},{a_2}$ 0.8，0.2 高斯-切比雪夫分段总数 $M$ 10
下载: 导出CSV
-
[1] 郑黎明, 刘培国, 王宏义, 等. 无源物联网: 背景、概念、挑战及研究进展[J]. 电子与信息学报, 2023, 45(7): 2293–2310. doi: 10.11999/JEIT221219ZHENG Liming, LIU Peiguo, WANG Hongyi, et al. Passive internet of things: Background, concept, challenges and progress[J]. Journal of Electronics & Information Technology, 2023, 45(7): 2293–2310. doi: 10.11999/JEIT221219 [2] YE Yinghui, SHI Liqin, CHU Xiaoli, et al. Resource allocation in backscatter-assisted wireless powered MEC networks with limited MEC computation capacity[J]. IEEE Transactions on Wireless Communications, 2022, 21(12): 10678–10694. doi: 10.1109/TWC.2022.3185825 [3] 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.2022199ZHANG 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 [4] LIANG Yingchang, ZHANG Qianqian, LARSSON E G, et al. Symbiotic radio: Cognitive backscattering communications for future wireless networks[J]. IEEE Transactions on Cognitive Communications and Networking, 2020, 6(4): 1242–1255. doi: 10.1109/TCCN.2020.3023139 [5] YE Yinghui, SHI Liqin, CHU Xiaoli, et al. On the outage performance of ambient backscatter communications[J]. IEEE Internet of Things Journal, 2020, 7(8): 7265–7278. doi: 10.1109/JIOT.2020.2984449 [6] ELSAYED M, SAMIR A, EL-BANNA A A A, et al. When NOMA multiplexing meets symbiotic ambient backscatter communication: Outage analysis[J]. IEEE Transactions on Vehicular Technology, 2022, 71(1): 1026–1031. doi: 10.1109/TVT.2021.3127043 [7] YANG Hancheng, DING Haiyang, and ELKASHLAN M. Opportunistic symbiotic backscatter communication systems[J]. IEEE Communications Letters, 2023, 27(1): 100–104. doi: 10.1109/LCOMM.2022.3202362 [8] 叶迎晖, 田雨佳, 卢光跃, 等. 基于能量收集的互惠共生无线电中断性能分析[J]. 电子与信息学报, 2023, 45(7): 2350–2357. doi: 10.11999/JEIT220778YE Yinghui, TIAN Yujia, LU Guangyue, et al. Outage performance of commensal symbiotic radio based on energy harvesting[J]. Journal of Electronics & Information Technology, 2023, 45(7): 2350–2357. doi: 10.11999/JEIT220778 [9] YE Yinghui, SHI Liqin, CHU Xiaoli, et al. Mutualistic cooperative ambient backscatter communications under hardware impairments[J]. IEEE Transactions on Communications, 2022, 70(11): 7656–7668. doi: 10.1109/TCOMM.2022.3201119 [10] ZHOU Shaoqing, XU Wei, WANG Kezhi, et al. Ergodic rate analysis of cooperative ambient backscatter communication[J]. IEEE Wireless Communications Letters, 2019, 8(6): 1679–1682. doi: 10.1109/LWC.2019.2936196 [11] ZHANG Qianqian, LIANG Yingchang, YANG Hongchuan, et al. Mutualistic mechanism in symbiotic radios: When can the primary and secondary transmissions be mutually beneficial?[J]. IEEE Transactions on Wireless Communications, 2022, 21(10): 8036–8050. doi: 10.1109/TWC.2022.3163735 [12] LONG Ruizhe, LIANG Yingchang, GUO Huayan, et al. Symbiotic radio: A new communication paradigm for passive internet of things[J]. IEEE Internet of Things Journal, 2020, 7(2): 1350–1363. doi: 10.1109/JIOT.2019.2954678 [13] YANG Haohang, YE Yinghui, LIANG Kai, et al. Energy efficiency maximization for symbiotic radio networks with multiple backscatter devices[J]. IEEE Open Journal of the Communications Society, 2021, 2: 1431–1444. doi: 10.1109/OJCOMS.2021.3090836 [14] GONG Shimin, GAO Lin, XU Jing, et al. Exploiting backscatter-aided relay communications with hybrid access model in device-to-device networks[J]. IEEE Transactions on Cognitive Communications and Networking, 2019, 5(4): 835–848. doi: 10.1109/TCCN.2019.2925080 [15] XU Jing, LI Jiachen, GONG Shimin, et al. Passive relaying game for wireless powered internet of things in backscatter-aided hybrid radio networks[J]. IEEE Internet of Things Journal, 2019, 6(5): 8933–8944. doi: 10.1109/JIOT.2019.2924977 [16] GONG Shimin, HUANG Xiaoxia, XU Jing, et al. Backscatter relay communications powered by wireless energy beamforming[J]. IEEE Transactions on Communications, 2018, 66(7): 3187–3200. doi: 10.1109/TCOMM.2018.2809613 [17] XU Rui, YE Yinghui, SUN Haijian, et al. Wireless powered opportunistic cooperative backscatter communications: To relay or not?[C]. 2022 IEEE 95th Vehicular Technology Conference: (VTC2022-Spring), Helsinki, Finland, 2022: 1–5. [18] XU Rui, SHI Liqin, YE Yinghui, et al. Relay-enabled backscatter communications: Linear mapping and resource allocation[J]. IEEE Transactions on Vehicular Technology, 2023, 72(12): 16323–16337. doi: 10.1109/TVT.2023.3299621 [19] GU Bowen, LI Dong, LIU Ye, et al. Exploiting constructive interference for backscatter communication systems[J]. IEEE Transactions on Communications, 2023, 71(7): 4344–4359. doi: 10.1109/TCOMM.2023.3277519 [20] GU Bowen, LI Dong, XU Yongjun, et al. Many a little makes a mickle: Probing backscattering energy recycling for backscatter communications[J]. IEEE Transactions on Vehicular Technology, 2023, 72(1): 1343–1348. doi: 10.1109/TVT.2022.3205888 -
下载:
图(5) / 表(3)
计量
- 文章访问数: 66
- HTML全文浏览量: 31
- PDF下载量: 4
- 被引次数: 0
