Hybrid beamforming with discrete phase shifters for millimeter wave backhaul networks

doi:10.19682/j.cnki.1005-8885.2018.0031

中国邮电高校学报(英文版) ›› 2018, Vol. 25 ›› Issue (5): 31-38.doi: 10.19682/j.cnki.1005-8885.2018.0031

Hybrid beamforming with discrete phase shifters for millimeter wave backhaul networks

袁江伟¹,李晓辉²,蒲文娟³,杨胥¹

1. 西安电子科技大学
2. 陕西省西安电子科技大学
3.

收稿日期:2018-03-21 修回日期:2018-08-17 出版日期:2018-10-18 发布日期:2018-10-18
通讯作者: 袁江伟 E-mail:710323551@qq.com

Hybrid beamforming with discrete phase shifters for millimeter wave backhaul networks

Received:2018-03-21 Revised:2018-08-17 Online:2018-10-18 Published:2018-10-18
Contact: Jiang-Wei YUAN E-mail:710323551@qq.com

摘要/Abstract

摘要： Hybrid beamforming (HBF) technology becomes one of the key technologies in the millimeter wave (mmWave) mobile backhaul systems, for its lower complexity and low power consumption compared to full digital beamforming (DBF). Two structures of HBF exist in the mmWave mobile backhaul system, namely, the fully connected structures (FCS) and partially connected structures (PCS). However, the existing methods cannot be applied to both structures. Moreover, the ideal phase shifter is considered in some current HBF methods, which is not realistic. In this paper, a HBF algorithm for both structures based on the discrete phase shifters is proposed in the mmWave mobile backhaul systems. By using the principle of alternating minimization, the optimization problem of HBF is decomposed into a DBF optimization problem and an analog beamforming (ABF) optimization problem. Then the least square (LS) method is enabled to solve the optimization model of DBF. In addition, the achievable data rate for both structures with closed-form expression which can be used to convert the optimization model into a single-stream beamforming optimization model with per antenna power constraint is derived. Therefore, the ABF is easily solved. Simulation results show that the performance of the proposed HBF method can approach the full DBF by using a lower resolution phase shifter.

关键词: millimeter wave backhaul networks, fully connected structure, partially connected structure, hybrid beamforming, limited phase shifters resolution

Abstract: Hybrid beamforming (HBF) technology becomes one of the key technologies in the millimeter wave (mmWave) mobile backhaul systems, for its lower complexity and low power consumption compared to full digital beamforming (DBF). Two structures of HBF exist in the mmWave mobile backhaul system, namely, the fully connected structures (FCS) and partially connected structures (PCS). However, the existing methods cannot be applied to both structures. Moreover, the ideal phase shifter is considered in some current HBF methods, which is not realistic. In this paper, a HBF algorithm for both structures based on the discrete phase shifters is proposed in the mmWave mobile backhaul systems. By using the principle of alternating minimization, the optimization problem of HBF is decomposed into a DBF optimization problem and an analog beamforming (ABF) optimization problem. Then the least square (LS) method is enabled to solve the optimization model of DBF. In addition, the achievable data rate for both structures with closed-form expression which can be used to convert the optimization model into a single-stream beamforming optimization model with per antenna power constraint is derived. Therefore, the ABF is easily solved. Simulation results show that the performance of the proposed HBF method can approach the full DBF by using a lower resolution phase shifter.

Key words: millimeter wave backhaul networks, fully connected structure, partially connected structure, hybrid beamforming, limited phase shifters resolution

参考文献

1. Taori R, Sridharan A. Point-to-multipoint in-band mmwave backhaul for 5G networks. IEEE Communications Magazine, 2015, 53(1): 195–201

2. Gao Z, Dai L L, Mi D, et al. MmWave massive-MIMO-based wireless backhaul for the 5G ultra-dense network. IEEE Wireless Communications, 2015, 22(5): 13–21

3. Qiao J Y. Julia sets and complex singularities of free energies. Memoirs of the American Mathematical Society. Providence, RI, USA: American Mathematical Society, 2015

4. Qiao J Y. On the preimages of parabolic periodic points. Nonlinearity, 2000, 13(3): 813–818

5. Qiao J Y. Two problems in the value distribution theory. Acta Mathematica Sinica, 1995, 11(4): 365–371

6. Han S F, I Chih-Lin, Xu Z K, et al. Large-scale antenna systems with hybrid analog and digital beamforming for millimeter wave 5G. IEEE Communications Magazine, 2015, 53(1): 186–194

7. El Ayach O, Rajagopal S, Abu-Surra S, et al. Spatially sparse precoding in millimeter wave MIMO systems. IEEE transactions on wireless communications, 2014, 13(3): 1499–1513

8. Wang Z H, Li M, Tian X W, et al. Iterative hybrid precoder and combiner design for mmWave multiuser MIMO systems. IEEE Communications Letters, 2017, 21(7): 1581–1584

9. Seleem H, Sulyman A I, Alsanie A. Hybrid precoding-beamforming design with Hadamard RF codebook for mmWave large-scale MIMO systems. IEEE Access, 2017, 5: 6813–6823

10. Nguyen D H N, Le L B, Le-Ngoc T, et al. Hybrid MMSE precoding and combining designs for mmWave multiuser systems. IEEE Access, 2017, 5: 19167–19181

11. Sohrabi F, Yu W. Hybrid digital and analog beamforming design for large-scale antenna arrays. IEEE Journal of Selected Topics in Signal Processing, 2016, 10(3): 501–513

12. Li N X, Wei Z X, Yang H W, et al. Hybrid precoding for mmWave massive MIMO systems with partially connected structure. IEEE Access, 2017, 5: 15142–15151

13. Dai L L, Gao X Y, Quan J G, et al. Near-optimal hybrid analog and digital precoding for downlink mmWave massive MIMO systems. Proceedings of the 2015 IEEE International Conference on Communications (ICC’15), Jun 8-12, 2015, London, UK. Piscataway, NJ, USA: IEEE, 2015: 1334–1339

14. Xu Z K, Han S F, Pan Z G, et al. Alternating beamforming methods for hybrid analog and digital MIMO transmission. Proceedings of the 2015 IEEE International Conference on Communications (ICC’15), Jun 8-12, 2015, London, UK. Piscataway, NJ, USA: IEEE, 2015: 1595–1600

15. Sohrabi F, Yu W. Hybrid analog and digital beamforming for mmWave OFDM large-scale antenna arrays. IEEE Journal on Selected Areas in Communications, 2017, 35(7): 1432–1443

16. Pi Z Y. Optimal transmitter beamforming with per-antenna power constraints. Proceedings of the 2012 IEEE International Conference on Communications (ICC’12), Jun 10-15, 2012, Ottawa, Canada. Piscataway, NJ, USA: IEEE, 2012: 3779–3784

Gao X Y, Dai L L, Han S F, et al. Energy-efficient hybrid analog and digital precoding for mmWave MIMO systems with large antenna arrays. IEEE Journal on Selected Areas in Communications, 2016, 34(4): 998–1009

Hybrid beamforming with discrete phase shifters for millimeter wave backhaul networks

Hybrid beamforming with discrete phase shifters for millimeter wave backhaul networks

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