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Trellis Exploration Based Hybrid Precoding and Distributed Antenna Array Structures in Millimeter-Wave MIMO Systems

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Abstract

This paper concerns a downlink single user millimeter wave MIMO system in which the base station is equipped with distributed antenna arrays. Assuming that the fading channel is composite and comprised of large scale fading and small scale fading, this paper investigates mainly the distributed antenna array structures and practical hybrid precoding. In particular, three different layouts of distributed antenna arrays are considered and their spectral efficiencies are analyzed. In addition, a trellis exploration algorithm with a lower implementation complexity and cost is proposed, which can obtain the optimal analog precoder with finite resolution. Simulation results show that the circular antenna layout with a central remote antenna unit is the best choice for the distributed system. Furthermore, the results indicate that our proposed algorithm can achieve the spectral efficiency that is very close to that of matrix factorization algorithm.

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References

  1. 1.

    Andrews, J. G., Buzzi, S., Choi, W., Hanly, S. V., Lozano, A., Soong, A. C. K., et al. (2014). What will 5G be? IEEE Journal on Selected Areas in Communications, 32(6), 1065–1082.

  2. 2.

    Checko, A., Christiansen, H. L., Yan, Y., et al. (2015). Cloud RAN for mobile networks—A technology overview. IEEE Communications Surveys and Tutorials, 17(1), 405–426.

  3. 3.

    Ngo, H. Q., Ashikhmin, A., Yang, H., et al. (2017). Cell-Free massive MIMO versus small cells. IEEE Transactions on Wireless Communications, 16(3), 1834–1850.

  4. 4.

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

  5. 5.

    Yu, X. H., Shen, J. C., Zhang, J., et al. (2016). Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems. IEEE Journal of Selected Topics in Signal Processing, 10(3), 485–500.

  6. 6.

    Ni, W. H., & Dong, X. D. (2016). Hybrid block diagonalization for massive multiuser MIMO systems. IEEE Transactions on Communications, 64(1), 201–211.

  7. 7.

    El Ayach, O., Rajagopal, S., Abu-Surra, S., Pi, Z., & Heath, Robert W. (2014). Spatially sparse precoding in millimeter wave MIMO systems. IEEE Transactions on Wireless Communications, 13(3), 1499–1513.

  8. 8.

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

  9. 9.

    Yu, X., Zhang, J., & Letaief, K. B. (2017). Partially-connected hybrid precoding in mm-wave systems with dynamic phase shifter networks. In Proceedings of the IEEE international workshop on signal processing advances in wireless communications (SPAWC) (pp. 129–133). IEEE.

  10. 10.

    Zhang, D. D., Wang, Y., Li, X., et al. (2018). Hybridly-connected structure for hybrid beamforming in mmWave massive MIMO systems. IEEE Transactions on Communications, 66(2), 662–674.

  11. 11.

    Alkhateeb, A., Leus, G., & Heath, R. W. (2015). Limited feedback hybrid precoding for multi-user millimeter wave systems. IEEE Transactions on Wireless Communications, 14(11), 6481–6494.

  12. 12.

    Buzzi, S., & D’Andrea, C. (2016). Are mmWave low-complexity beamforming structures energy-efficient? Analysis of the downlink MU-MIMO. In Proceedings of the international workshop on emerging technologies for 5G wireless cellular networks (pp. 1–6). IEEE.

  13. 13.

    Gimenez, S., Calabuig, D., Roger, S., et al. (2017). Distributed hybrid precoding for indoor deployments using millimeter wave band. Mobile Information Systems. Article ID 5751809, 12 pages.

  14. 14.

    Castanheira, D., Lopes, P., Silva, A., & Gameiro, A. (2017). Hybrid beamforming designs for massive MIMO millimeter wave heterogeneous systems. IEEE Access, 5(6), 21806–21817.

  15. 15.

    Wang, D. M., Wang, J. Z., You, X. H., et al. (2013). Spectral efficiency of distributed MIMO systems. IEEE Journal on Selected Areas in Communications, 31(10), 2112–2127.

  16. 16.

    Saleh, A. A. M., & Valenzuela, R. (1987). A statistical model for indoor multipath propagation. IEEE Journal on Selected Areas in Communications, 5(2), 128–137.

  17. 17.

    MacCartney, G. R., Samimi, M. K., & Rappaport, T. S. (2014). Omnidirectional path loss models in New York city at 28 GHz and 73 GHz. In Proceedings of the IEEE 25th international symposium on personal indoor and mobile radio communications (pp. 227–231). IEEE.

  18. 18.

    Yue, D. W., Zhang, Y., & Jia, Y. N. (2015). Beamforming based on specular component for massive MIMO systems in Ricean fading. IEEE Wireless Communications Letters, 4(2), 197–200.

  19. 19.

    Jin, J., Zheng, Y. R., Chen, W., & Xiao, C. (2018). Hybrid precoding for millimeter wave MIMO systems: A matrix factorization approach. IEEE Transactions on Wireless Communications, 17(5), 3327–3339.

  20. 20.

    Gradshteyn, I. S., & Ryzhik, I. M. (2007). Table of integrals, series, and products (7th ed.). New York: Academic.

  21. 21.

    Alkhateeb, A., Nam, Y. H., Zhang, J., & Heath, R. W. (2016). Massive MIMO combining with switches. IEEE Wireless Communications Letters, 5(3), 232–235.

  22. 22.

    Lin, Y. P. (2017). On the quantization of phase shifters for hybrid precoding systems. IEEE Transactions on Signal Processing, 65(9), 2237–2246.

  23. 23.

    Zhu, D., & Natarajan, B. (2009). Trellis exploration algorithm aided precoder design in maximizing MIMO capacity with limited feedback. In IEEE Global telecommunications conference (pp. 1–6). IEEE.

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Correspondence to Dian-Wu Yue.

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Li, J., Yue, D. Trellis Exploration Based Hybrid Precoding and Distributed Antenna Array Structures in Millimeter-Wave MIMO Systems. Wireless Pers Commun 111, 293–312 (2020). https://doi.org/10.1007/s11277-019-06858-1

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Keywords

  • Hybrid precoding
  • Distributed antenna arrays
  • Millimeter wave MIMO
  • Large scale fading
  • Trellis exploration