SC-FDMA系统中继波束赋形与用户功率分配算法
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摘要
针对协作单载波频分多址(single-carrier frequency-division multiple access,SC-FDMA)系统提出了一种信干噪比约束下的中继波束赋形和用户功率分配联合优化算法。该算法能使得基站端输出信干噪比满足给定约束条件的同时最小化中继节点和用户节点的发射功率。该文通过利用矩阵分析中的瑞利商理论以及交替优化理论,分析并推导得出了最优的中继节点波束赋形和用户功率分配算法。仿真结果及分析表明,该文提出的中继波束赋形和用户功率分配算法与采用正交频分复用系统下的算法相比能有效地节省中继和用户节点的发射功率。此外,为了降低算法复杂度以及所需反馈开销,该文还给出了用户端等功率分配的方法以及在此基础上的中继波束赋形算法。
A joint optimization algorithm of relay beamforming and user power allocation is proposed for cooperative single-carrier frequency-division multiple access(SC-FDMA)systems with signal-to-interference-plus-noise ratio(SINR)constraint.The proposed algorithm can minimize the transmit powers for the relay and user while maintaining the output SINR at the base station above a pre-specified SINR threshold.The optimal solution for the optimization problem is derived and analyzed by employing Rayleigh quotient and the alternative optimization theory.Simulation results and analysis show that the proposed beamforming algorithm can save more transmit powers for the relay and user compared with the algorithm used in orthogonal frequency division multiplexing systems.Moreover,in order to reduce the computational complexity and feedback overhead,equal power allocation for the user and the corresponding relay beamforming algorithm are also proposed.
A joint optimization algorithm of relay beamforming and user power allocation is proposed for cooperative single-carrier frequency-division multiple access(SC-FDMA)systems with signal-to-interference-plus-noise ratio(SINR)constraint.The proposed algorithm can minimize the transmit powers for the relay and user while maintaining the output SINR at the base station above a pre-specified SINR threshold.The optimal solution for the optimization problem is derived and analyzed by employing Rayleigh quotient and the alternative optimization theory.Simulation results and analysis show that the proposed beamforming algorithm can save more transmit powers for the relay and user compared with the algorithm used in orthogonal frequency division multiplexing systems.Moreover,in order to reduce the computational complexity and feedback overhead,equal power allocation for the user and the corresponding relay beamforming algorithm are also proposed.
引文
[1]ZHANG J,YANG L,HANZO L,et al.Advances in cooperative single-carrier FDMA communications:beyond LTE-advanced[J].IEEE Communications Surveys and Tutorials,2015,17(2):730-756.
[2]KHAN A,ARIF A,NAWAZ T,et al.Walsh Hadamard transform based transceiver design for SC-FDMA with discrete wavelet transform[J].China Communications,2017,14(5):193-206.
[3]SAHIN A,YANG R,BALA E,et al.Flexible DFT-S-OFDM:solutions and challenges[J].IEEE Communications Magazine,2016,54(11):106-112.
[4]ZAIDI A,BALDEMAIR R,CASES V,et al.OFDM numerology design for 5Gnew radio to support IoT,eMBB,and MBSFN[J].IEEE Communications Standards Magazine,2018:78-83.
[5]TS38.211.Physical channels and modulation[S].3GPP,2018.
[6]PALOMAR D,JIANG Y.MIMO transceiver design via majorization theory[J].Foundations and Trends in Communications and Information Theory,2006,3(4):331-551.
[7]JEONG C,SEO B,LEE S,et al.Relay precoding for non-regenerative MIMO relay systems with partial CSI feedback[J].IEEE Trans.on Wireless Communications,2012,11(5):1698-1711.
[8]RONG Y,TANG X,HUA Y.A unified framework for optimizing linear nonregenerative multicarrier MIMO relay communication systems[J].IEEE Trans.on Signal Processing,2009,57(12):4837-4851.
[9]WU S,SO A,PAN J,et al.Semidefinite relaxation and approximation analysis of a beamformed alamouti scheme for relay beamforming networks[J].IEEE Trans.on Signal Processing,2017,65(9):2428-2443.
[10]WU P,SCHOBER R,BHARGAVA V.Transceiver design for SC-FDE based MIMO relay systems[J].IEEE Trans.on Wireless Communications,2013,12(9):4376-4391.
[11]ZHAO L,SHA X,WU X.Multi-antenna relay beamforming design in SC-FDMA systems with imperfect CSI[C]∥Proc.of the IEEE Vehicular Technology Conference,2016:1-5.
[12]PHAM T,NGUYEN H,TUAN H.Power allocation in MMSErelaying over frequency-selective Rayleigh fading channels[J].IEEE Trans.on Communications,2010,58(11):3330-3343.
[13]RUDER M,GERSTACKER W.Beamforming for energy efficient multiuser MIMO SC-FDMA transmission with QoS requirements[J].IEEE Communication Letters,2014,18(3):407-410.
[14]吴钊,张彧,姜龙,等.基于宽带突发单载波频域均衡传输的时域精细信道估计方法[J].电子与信息学报,2016,38(5):1166-1172.WU Z,ZHANG Y,JIANG L,et al.Time-domain fine channel estimation based on broadband burst single-carrier frequency domain equalization transmission[J].Journal of Electronics&Information Technology,2016,38(5):1166-1172.
[15]朱正仓,赵季红,唐睿,等.LTE-A上行终端直通中面对能效的资源分配方案[J].通信学报,2017,38(2):371-378.ZHU Z C,ZHAO J H,TANG R,et al.Energy-efficient resource allocation scheme for device-to-device communication underlaying LTE-A uplink[J].Journal of Communications,2017:38(2):371-378.
[16]KHA H,TUAN H,NGUYEN H,et al.Optimization of cooperative beamforming for SC-FDMA multi-user multi-relay networks by tractable d.c.programming[J].IEEE Trans.on Signal Processing,2013,61(2):467-479.
[17]WU Y,TSAI P.A generalized matrix-decomposition processor for joint MIMO transceiver design[C]∥Proc.of the IEEEInternational Conference on Acoustics,Speech and Signal Processing,2017:1153-1157.
[18]BOYD S,VANDENBERGHE L.Convex optimization[M].Cambridge:Cambridge University Press,2004:241-272.
[19]BEZDEK J,HATHAWAY R.Some notes on alternating optimization[M].Adavances in soft computing,Berlin:Springer,2002:187-195.
[20]WU P,SCHOBER R,BHARGAVA V.Robust transceiver design for broadband multiuser multi-Relay networks[J].IEEE Trans.on Wireless Communications,2015,14(10):5643-5658.
[2]KHAN A,ARIF A,NAWAZ T,et al.Walsh Hadamard transform based transceiver design for SC-FDMA with discrete wavelet transform[J].China Communications,2017,14(5):193-206.
[3]SAHIN A,YANG R,BALA E,et al.Flexible DFT-S-OFDM:solutions and challenges[J].IEEE Communications Magazine,2016,54(11):106-112.
[4]ZAIDI A,BALDEMAIR R,CASES V,et al.OFDM numerology design for 5Gnew radio to support IoT,eMBB,and MBSFN[J].IEEE Communications Standards Magazine,2018:78-83.
[5]TS38.211.Physical channels and modulation[S].3GPP,2018.
[6]PALOMAR D,JIANG Y.MIMO transceiver design via majorization theory[J].Foundations and Trends in Communications and Information Theory,2006,3(4):331-551.
[7]JEONG C,SEO B,LEE S,et al.Relay precoding for non-regenerative MIMO relay systems with partial CSI feedback[J].IEEE Trans.on Wireless Communications,2012,11(5):1698-1711.
[8]RONG Y,TANG X,HUA Y.A unified framework for optimizing linear nonregenerative multicarrier MIMO relay communication systems[J].IEEE Trans.on Signal Processing,2009,57(12):4837-4851.
[9]WU S,SO A,PAN J,et al.Semidefinite relaxation and approximation analysis of a beamformed alamouti scheme for relay beamforming networks[J].IEEE Trans.on Signal Processing,2017,65(9):2428-2443.
[10]WU P,SCHOBER R,BHARGAVA V.Transceiver design for SC-FDE based MIMO relay systems[J].IEEE Trans.on Wireless Communications,2013,12(9):4376-4391.
[11]ZHAO L,SHA X,WU X.Multi-antenna relay beamforming design in SC-FDMA systems with imperfect CSI[C]∥Proc.of the IEEE Vehicular Technology Conference,2016:1-5.
[12]PHAM T,NGUYEN H,TUAN H.Power allocation in MMSErelaying over frequency-selective Rayleigh fading channels[J].IEEE Trans.on Communications,2010,58(11):3330-3343.
[13]RUDER M,GERSTACKER W.Beamforming for energy efficient multiuser MIMO SC-FDMA transmission with QoS requirements[J].IEEE Communication Letters,2014,18(3):407-410.
[14]吴钊,张彧,姜龙,等.基于宽带突发单载波频域均衡传输的时域精细信道估计方法[J].电子与信息学报,2016,38(5):1166-1172.WU Z,ZHANG Y,JIANG L,et al.Time-domain fine channel estimation based on broadband burst single-carrier frequency domain equalization transmission[J].Journal of Electronics&Information Technology,2016,38(5):1166-1172.
[15]朱正仓,赵季红,唐睿,等.LTE-A上行终端直通中面对能效的资源分配方案[J].通信学报,2017,38(2):371-378.ZHU Z C,ZHAO J H,TANG R,et al.Energy-efficient resource allocation scheme for device-to-device communication underlaying LTE-A uplink[J].Journal of Communications,2017:38(2):371-378.
[16]KHA H,TUAN H,NGUYEN H,et al.Optimization of cooperative beamforming for SC-FDMA multi-user multi-relay networks by tractable d.c.programming[J].IEEE Trans.on Signal Processing,2013,61(2):467-479.
[17]WU Y,TSAI P.A generalized matrix-decomposition processor for joint MIMO transceiver design[C]∥Proc.of the IEEEInternational Conference on Acoustics,Speech and Signal Processing,2017:1153-1157.
[18]BOYD S,VANDENBERGHE L.Convex optimization[M].Cambridge:Cambridge University Press,2004:241-272.
[19]BEZDEK J,HATHAWAY R.Some notes on alternating optimization[M].Adavances in soft computing,Berlin:Springer,2002:187-195.
[20]WU P,SCHOBER R,BHARGAVA V.Robust transceiver design for broadband multiuser multi-Relay networks[J].IEEE Trans.on Wireless Communications,2015,14(10):5643-5658.