Robust Secure Resource Allocation Algorithm for Heterogeneous Networks with Hardware Impairments
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摘要: 针对多蜂窝多用户异构网络中收发机处信号畸变、用户信息泄露和传输中断等问题，该文提出一种基于硬件损伤的异构网络鲁棒安全资源分配算法。考虑小蜂窝用户最小安全速率约束、小蜂窝基站最大发射功率约束和宏用户干扰功率约束，建立了基于有界信道不确定性的能效最大化资源分配模型。基于Dinkelbach法、最坏准则法和连续凸近似理论，将原非凸资源分配问题等价转换为凸优化问题，并利用拉格朗日对偶算法得到解析解。仿真结果表明，与现有算法相比，所提算法具有较好的能效和鲁棒性。Abstract: To solve the problems of signal distortion at the transceivers, information leakage and transmission interruption of users in multi-cell multi-user heterogeneous networks, a robust secure resource allocation algorithm is proposed with distortion noises. Considering the constraints of the minimum secure rate of each small-cell user, the maximum transmit power of each base station and the cross-tier interference power of each macro-cell user, an energy efficiency maximization-based resource allocation model is formulated under bounded channel uncertainties. The original non-convex optimization problem is converted into an equivalent convex one by using the Dinkelbach’s method, the worst-case method and the successive convex approximation method. And the analytical solution is obtained by using Lagrangian dual function method. Simulation results demonstrate that the proposed algorithm has better energy efficiency and robustness by comparing it with the existing algorithms.
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算法1 小蜂窝迭代能效资源分配算法 初始化系统参数：$ M $, $ N $, $ {U_n} $, $ {\bar h_{i,n}} $, $ {\bar g_{i,n}} $, $ h_{i,n}^{\text{E}} $, $ g_n^{\text{E}} $,$ {\bar G_{m,n}} $, $ {p_m} $,
$ {P_c} $, $ I_m^{{\text{th}}} $, $ R_{i,n}^{{\text{min}}} $, $ P_n^{\max } $, $ {\varepsilon _m} $,$ {\beta _{i,n}} $, $ {\alpha _{i,n}} $；定义辅助变量${\eta _{\rm{E}}}$；定义最
大迭代次数$ D $和收敛精度$ \varpi $；初始化外层迭代次数$ d = 0 $；
(1) While $\left| {\frac{ {\displaystyle\sum\limits_{n = 1}^N {\displaystyle\sum\limits_{i = 1}^{ {U_n} } { { {\hat R}_{i,n} }(d)} } } }{ {\displaystyle\sum\limits_{n = 1}^N {\displaystyle\sum\limits_{i = 1}^{ {U_n} } { {p_{i,n} }(d)} + {P_n}(d)} } } - {\eta _{\rm{E}}}(d - 1)} \right| > \varpi$和
$d \le D$，do(2) 初始化拉格朗日乘子及对应步长；定义内层最大迭代次数
$L$，初始化内层迭代次数$l = 0$；(3) 循环 (4) For $ m = 1:1:M $ (5) For $ n = 1:1:N $ (6) For $ i = 1:1:{U_n} $ (7) 根据式(42)计算最优发射功率$p_{i,n}^*$； (8) 根据式(44)计算${Z_n}$； (9) 根据式(45)—式(47)更新拉格朗日乘子${\mu _n}(l)$,
${\lambda _m}(l)$和${\varpi _{i,n}}(l)$；(10) End For (11) End For (12) End For (13) 更新$l = l + 1$； (14) Until收敛或$l = L$； (15) 更新
$d = d + 1$和${\eta _{\rm{E}}}(d) = \frac{ {\displaystyle\sum\limits_{n = 1}^N {\displaystyle\sum\limits_{i = 1}^{ {U_n} } { { {\hat R}_{i,n} }(d - 1)} } } }{ {\displaystyle\sum\limits_{n = 1}^N {\displaystyle\sum\limits_{i = 1}^{ {U_n} } { {p_{i,n} }(d - 1)} + {P_n}(d - 1)} } }$；(16) End While 
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[1] XU Yongjun, GUI Guan, GACANIN H, et al. A survey on resource allocation for 5G heterogeneous networks: Current research, future trends, and challenges[J]. IEEE Communications Surveys & Tutorials, 2021, 23(2): 668–695. doi: 10.1109/COMST.2021.3059896 [2] LIU Xilong and ANSARI N. Green relay assisted D2D communications with dual batteries in heterogeneous cellular networks for IoT[J]. IEEE Internet of Things Journal, 2017, 4(5): 1707–1715. doi: 10.1109/JIOT.2017.2717853 [3] KHALILI A, AKHLAGHI S, TABASSUM H, et al. Joint user association and resource allocation in the uplink of heterogeneous networks[J]. IEEE Wireless Communications Letters, 2020, 9(6): 804–808. doi: 10.1109/LWC.2020.2970696 [4] FANG Fang, ZHANG Haijun, CHENG Julian, et al. Energy-efficient resource allocation for downlink non-orthogonal multiple access network[J]. IEEE Transactions on Communications, 2016, 64(9): 3722–3732. doi: 10.1109/TCOMM.2016.2594759 [5] CUMANAN K, DING Zhiguo, SHARIF B, et al. Secrecy rate optimizations for a MIMO secrecy channel with a multiple-antenna eavesdropper[J]. IEEE Transactions on Vehicular Technology, 2014, 63(4): 1678–1690. doi: 10.1109/TVT.2013.2285244 [6] AHMED M, LI Yong, ZHUO Yinxiao, et al. Secrecy ensured socially aware resource allocation in device-to-device communications underlaying HetNet[J]. IEEE Transactions on Vehicular Technology, 2019, 68(5): 4933–4948. doi: 10.1109/TVT.2019.2890879 [7] MA Hui, CHENG Julian, and WANG Xianfu. Proportional fair secrecy beamforming for MISO heterogeneous cellular networks with wireless information and power transfer[J]. IEEE Transactions on Communications, 2019, 67(8): 5659–5673. doi: 10.1109/TCOMM.2019.2910260 [8] LI Bin, FEI Zesong, and CHU Zheng. Optimal transmit beamforming for secure SWIPT in a two-tier HetNet[J]. IEEE Communications Letters, 2017, 21(11): 2476–2479. doi: 10.1109/LCOMM.2017.2734759 [9] LI Bin, FEI Zesong, CHU Zheng, et al. Secure transmission for heterogeneous cellular networks with wireless information and power transfer[J]. IEEE Systems Journal, 2018, 12(4): 3755–3766. doi: 10.1109/JSYST.2017.2713881 [10] LIU Zhixin, WANG Sainan, LIU Yang, et al. Robust secure transmission and power transfer in heterogeneous networks with confidential information[J]. IEEE Transactions on Vehicular Technology, 2020, 69(10): 11192–11205. doi: 10.1109/TVT.2020.3008349 [11] ZHANG Bo, LI Bin, HUANG Kaizhi, et al. Robust secrecy energy efficiency optimization for wireless powered heterogeneous networks using distributed ADMM algorithm[J]. IEEE Access, 2019, 7: 116277–116294. doi: 10.1109/ACCESS.2019.2935798 [12] BJÖRNSON E, HOYDIS J, KOUNTOURIS M, et al. Massive MIMO systems with non-ideal hardware: Energy efficiency, estimation, and capacity limits[J]. IEEE Transactions on Information Theory, 2014, 60(11): 7112–7139. doi: 10.1109/TIT.2014.2354403 [13] XU Yongjun, XIE Hao, and HU R Q. Max-min beamforming design for heterogeneous networks with hardware impairments[J]. IEEE Communications Letters, 2021, 25(4): 1328–1332. doi: 10.1109/LCOMM.2020.3044936 [14] XU Yongjun, LI Guoquan, YANG Yang, et al. Robust resource allocation and power splitting in SWIPT enabled heterogeneous networks: A robust minimax approach[J]. IEEE Internet of Things Journal, 2019, 6(6): 10799–10811. doi: 10.1109/JIOT.2019.2941897 [15] MANSUKHANI J and RAY P. Censored spectrum sharing strategy for MIMO systems in cognitive radio networks[J]. IEEE Transactions on Wireless Communications, 2019, 18(12): 5500–5510. doi: 10.1109/TWC.2019.2936839 [16] WANG Shaowei, SHI Weijia, and WANG Chonggang. Energy-efficient resource management in OFDM-based cognitive radio networks under channel uncertainty[J]. IEEE Transactions on Communications, 2015, 63(9): 3092–3102. doi: 10.1109/TCOMM.2015.2452251 [17] HAN Dongsheng, LI Shijie, PENG Yuefeng, et al. Energy sharing-based energy and user joint allocation method in heterogeneous network[J]. IEEE Access, 2020, 8: 37077–37086. doi: 10.1109/ACCESS.2020.2975293 [18] 徐勇军, 谷博文, 杨洋, 等. 基于不完美CSI的D2D通信网络鲁棒能效资源分配算法[J]. 电子与信息学报, 2021, 43(8): 2189–2198. doi: 10.11999/JEIT200587XU Yongjun, GU Bowen, YANG Yang, et al. Robust energy-efficient resource allocation algorithm in D2D communication networks with imperfect CSI[J]. Journal of Electronics &Information Technology, 2021, 43(8): 2189–2198. doi: 10.11999/JEIT200587 [19] BEN-TAL A, EL GHAOUI L, and NEMIROVSKI A. Robust Optimization[M]. Princeton: Princeton University Press, 2009. [20] DINKELBACH W. On nonlinear fractional programming[J]. Management Science, 1967, 13(7): 492–498. doi: 10.1287/mnsc.13.7.492 [21] PAPANDRIOPOULOS J and EVANS J S. SCALE: A low-complexity distributed protocol for spectrum balancing in multiuser DSL networks[J]. IEEE Transactions on Information Theory, 2009, 55(8): 3711–3724. doi: 10.1109/TIT.2009.2023751 [22] BOYD S and VANDENBERGHE L. Convex Optimization[M]. Cambridge: Cambridge University Press, 2004. [23] 李国权, 徐勇军, 陈前斌. 基于干扰效率多蜂窝异构无线网络最优基站选择及功率分配算法[J]. 电子与信息学报, 2020, 42(4): 957–964. doi: 10.11999/JEIT190419LI Guoquan, XU Yongjun, and CHEN Qianbin. Interference efficiency-based base station selection and power allocation algorithm for multi-cell heterogeneous wireless networks[J]. Journal of Electronics &Information Technology, 2020, 42(4): 957–964. doi: 10.11999/JEIT190419 [24] GUO Shengjie and ZHOU Xiangwei. Robust resource allocation with imperfect channel estimation in NOMA-based heterogeneous vehicular networks[J]. IEEE Transactions on Communications, 2019, 67(3): 2321–2332. doi: 10.1109/TCOMM.2018.2885999 -
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