Hybrid Precoding Algorithm Based on Successive Interference Cancellation for Millimeter Wave MIMO Systems
-
摘要:
该文研究多用户毫米波MIMO系统的混合模数预编码器和合并器设计。针对因信号传播漫散射造成的多用户间信号干扰问题，提出一种基于连续干扰消除(SIC)的鲁棒混合预编码算法。首先对信道矩阵进行正交分解，以消除来自已知用户信号的干扰，从而将含有非凸约束的多用户链路优化问题分解为多个单用户链路优化问题。然后采用相位提取算法逐个求解每个用户的最优传输链路，并结合最小均方误差(MMSE)准则求得多用户混合预编码矩阵。仿真结果表明，与现有的混合预编码算法相比，所提算法在强干扰环境下具有显著的性能优势。
Abstract:This paper investigates the design of hybrid analog and digital precoder and combiner for multi-user millimeter wave MIMO systems. Considering the problem of signal interference between multiple users due to diffuse scattering of signal propagation, a robust hybrid precoding algorithm based on Successive Interference Cancellation (SIC) is proposed. By deducing the orthogonal decomposition formula of the channel matrix to eliminate the interference from the known users’ signals, the multi-user links optimization problem with nonconvex constraints can be decompose into multiple single-user link optimization problems. The phase extraction algorithm is then used to search each user’s optimal transmission link one by one, and the multi-user hybrid precoding matrix is obtained in combination with Minimum Mean Square Error (MMSE) criterion. Simulation results show that the proposed algorithm has significant performance advantages compared with the existing hybrid precoding algorithms under severe interference conditions.
-
表 1 基于连续干扰消除的混合预编码算法
输入：${{{H}}_{u}},{u} = 1 ,2, ·\!·\!· ,{U}\;$； 输出：${{{F}}_{{\rm{BB}}}}$, ${{{F}}_{{\rm{RF}}}}$, ${{{w}}_{u}},{u} = 1 ,2, ·\!·\!· ,{U}\;$； 初始化：${{{F}}_{{\rm{RF}}}} = {\rm{Empty}}$；$\widehat {{H}} = {\rm{Empty}}$；${{{T}}_ 1 } = {{{H}}_ 1 }$； for ${u} = 1 :{U}\;$ (1) 对${{{T}}_{u}}$进行SVD分解，得到${{{v}}_ 1 }$和${{{q}}_ 1 }$； (2) ${{{v}}_ 1 }$代入式(14)，得到${{{w}}_{u}}$； (3) ${{{q}}_ 1 }$代入式(15)，得到${{{f}}_{{\rm{RF}},{u}}}$； (4) $\widehat {{h}}_u^{\rm{H}} = {{w}}_u^{\rm{H}}{{{H}}_u}$, $\widehat {{H}} = {\left[{\widehat {{H}}^{\rm{H}}}{\rm{ }}{\widehat {{h}}_{u}}\right]^{\rm{H}}}$, ${{{F}}_{{\rm{RF}}}} = [{{{F}}_{{\rm{RF}}}}{\rm{ }}{{{f}}_{{\rm{RF}},u}}]$； (5) $\widehat {{H}}$和${{{F}}_{{\rm{RF}}}}$代入式(16)，得到${{{F}}_{{\rm{BB}}}}$； if ${u} < {U}\;$ (6) ${{{F}}_{u}} = {{{F}}_{{\rm{RF}}}}{{{F}}_{{\rm{BB}}}}$，代入式(17)，得到${{{T}}_{{u} + 1}}$； end if end for ${{{F}}_{{\rm{BB}}}}{\rm{ = }}\sqrt {\frac{P}{{\left\| {{{{F}}_{{\rm{RF}}}}{{{F}}_{{\rm{BB}}}}} \right\|_{\rm{F}}^{2}}}} {{{F}}_{{\rm{BB}}}}$ 
下载: 导出CSV
-
ANDREWS J G, BUZZI S, WAN C, et al. What will 5G be?[J]. IEEE Journal on Selected Areas in Communications, 2014, 32(6): 1065–1082. doi: 10.1109/JSAC.2014.2328098 RAPPAPORT T S, SUN S, MAYZUS R, et al. Millimeter wave mobile communications for 5G cellular: It will work![J]. IEEE Access, 2013, 1(1): 335–349. doi: 10.1109/ACCESS.2013.2260813 BAI Tiangang and HEATH R W. Coverage and rate analysis for millimeter-wave cellular networks[J]. IEEE Transactions on Wireless Communications, 2015, 14(2): 1100–1114. doi: 10.1109/TWC.2014.2364267 RUSEK F, PERSSON D, and LAU B K. Scaling up MIMO: Opportunities and challenges with very large arrays[J]. IEEE Signal Processing Magazine, 2013, 30(1): 40–60. doi: 10.1109/MSP.2011.2178495 AMADORI P V and MASOUROS C. Interference-driven antenna selection for massive multiuser MIMO[J]. IEEE Transactions on Vehicular Technology, 2016, 65(8): 5944–5958. doi: 10.1109/TVT.2015.2477457 AMADORI P V and MASOUROS C. Large scale antenna selection and precoding for interference exploitation[J]. IEEE Transactions on Communications, 2017, 65(10): 4529–4542. doi: 10.1109/TCOMM.2017.2720733 VENKATESWARAN V and van der VEEN A J. Analog beamforming in MIMO communications with phase shift networks and online channel estimation[J]. IEEE Transactions on Signal Processing, 2010, 58(8): 4131–4143. doi: 10.1109/TSP.2010.2048321 GHOLAM F, VIA J, and SANTAMARIA I. Beamforming design for simplified analog antenna combining architectures[J]. IEEE Transactions on Vehicular Technology, 2011, 60(5): 2373–2378. doi: 10.1109/TVT.2011.2142205 AYACH O E, RAJAGOPAL S, ABU-SURRA S, et al. Spatially sparse precoding in millimeter wave MIMO systems[J]. IEEE Transactions on Wireless Communications, 2014, 13(3): 1499–1513. doi: 10.1109/TWC.2014.011714.130846 YU Xianghao, SHEN J C, ZHANG Jun, et al. Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems[J]. IEEE Journal of Selected Topics in Signal Processing, 2016, 10(3): 485–500. doi: 10.1109/JSTSP.2016.2523903 ALKHATEEB A, LEUS G, and HEATH R W. Limited feedback hybrid precoding for multi-user millimeter wave systems[J]. IEEE Transactions on Wireless Communications, 2015, 14(11): 6481–6494. doi: 10.1109/TWC.2015.2455980 NGUYEN D H N, LE L B, and LE-NGOC T. Hybrid MMSE precoding for mmWave multiuser MIMO systems[C]. 2016 IEEE International Conference on Communications, Kuala Lumpur, Malaysia, 2016: 1–6. 唐俊林, 曾媛, 岳光荣, 等. 60 GHz毫米波通信中贪婪迭代的波束成形方法[J]. 信号处理, 2017, 33(5): 669–675. doi: 10.16798/j.issn.1003-0530.2017.05.003TANG Junlin, ZENG Yuan, YUE Guangrong, et al. Greedy iterative beamforming method in 60 GHz millimeter wave communication[J]. Journal of Signal Processing, 2017, 33(5): 669–675. doi: 10.16798/j.issn.1003-0530.2017.05.003 LIANG Le, XU Wei, and DONG Xiaodai. Low-complexity hybrid precoding in massive multiuser MIMO systems[J]. IEEE Wireless Communications Letters, 2014, 3(6): 653–656. doi: 10.1109/LWC.2014.2363831 黄天宇, 马林华, 胡星, 等. 一种实用的毫米波大规模MIMO混合预编码算法[J]. 电子与信息学报, 2017, 39(8): 1788–1795. doi: 10.11999/JEIT161211HUANG Tianyu, MA Linhua, HU Xing, et al. Practical hybrid precoding algorithm for millimeter wave massive MIMO[J]. Journal of Electronics &Information Technology, 2017, 39(8): 1788–1795. doi: 10.11999/JEIT161211 CHEN Jiaxuan, ZHAO Peiyao, WANG Zhaocheng, et al. Enhanced beam selection for multi-user mm-wave massive MIMO systems[J]. Electronics Letters, 2016, 52(14): 1268–1270. doi: 10.1049/el.2016.0771 RAPPAPORT T S, MACCARTNEY G R, SAMIMI M K, et al. Wideband millimeter-wave propagation measurements and channel models for future wireless communication system design[J]. IEEE Transactions on Communications, 2015, 63(9): 3029–3056. doi: 10.1109/TCOMM.2015.2434384 李元稳, 何世文, 李春国, 等. 多用户毫米波MIMO系统中基于信道互易性的混合模数预编码算法[J]. 信号处理, 2016, 32(8): 922–930. doi: 10.16798/j.issn.1003-0530.2016.08.06LI Yuanwen, HE Shiwen, LI Chunguo, et al. Hybrid analog and digital precoding algorithm based on channel reciprocity for multi-user millimeter wave MIMO systems[J]. Journal of Signal Processing, 2016, 32(8): 922–930. doi: 10.16798/j.issn.1003-0530.2016.08.06 GAO Xinyu, DAI Linglong, HAN Shuangfeng, et al. Energy-efficient hybrid analog and digital precoding for mmWave MIMO systems with large antenna arrays[J]. IEEE Journal on Selected Areas in Communications, 2016, 34(4): 998–1009. doi: 10.1109/JSAC.2016.2549418 ZHANG Didi, WANG Yafeng, LI Xuehua, et al. Hybridly connected structure for hybrid beamforming in mmWave massive MIMO systems[J]. IEEE Transactions on Communications, 2018, 66(2): 662–674. doi: 10.1109/TCOMM.2017.2756882 束锋, 杨淑萍, 许正文, 等. 毫米波无线通信系统混合波束成形综述[J]. 数据采集与处理, 2017, 32(3): 454–462. doi: 10.16337/j.1004-9037.2017.03.003SHU Feng, YANG Shuping, XU Zhengwen, et al. Overview of hybrid beamforming for millimeter wave systems[J]. Journal of Data Acquisition and Processing, 2017, 32(3): 454–462. doi: 10.16337/j.1004-9037.2017.03.003 -
图(6) / 表(1)
计量
- 文章访问数: 3226
- HTML全文浏览量: 1259
- PDF下载量: 105
- 被引次数: 0
下载:
