Wireless Networks

, Volume 25, Issue 8, pp 4829–4837 | Cite as

Iterative hybrid precoder and combiner design for mmWave MIMO-OFDM systems

  • Ming Li
  • Wenfei Liu
  • Xiaowen Tian
  • Zihuan Wang
  • Qian LiuEmail author


This paper investigates the problem of hybrid precoder and combiner design for multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems operating in millimeter-wave (mmWave) bands. We propose a novel iterative scheme to design the codebook-based analog precoder and combiner in forward and reverse channels. During each iteration, we apply compressive sensing technology to efficiently estimate the equivalent MIMO-OFDM mmWave channel. Then, based on the effective channel, we designed the analog precoder and combiner to alleviate the interference between different data streams as well as maximize the spectral efficiency. The digital precoder and combiner are finally obtained based on the effective baseband channel to further enhance the spectral efficiency. Simulation results demonstrate that the proposed iterative hybrid precoder and combiner algorithm has significant performance advantages.


Millimeter wave Hybrid precoding MIMO-OFDM Compressive sensing Channel estimation 


  1. 1.
    Semaan, E., Ansari, J., Li, G., Tejedor, E., & Wiemann, H. (2017). An Outlook on the Unlicensed Operation Aspects of NR. In Wireless communications and networking conference (WCNC), (pp. 1–6).Google Scholar
  2. 2.
    Osseiran, A., Monserrat, J. F., & Marsch, P. (2017). 5G mobile and wireless communications technology. IEEE Communcation Magazin, 55(5), 18.CrossRefGoogle Scholar
  3. 3.
    Heath, R. W, Jr., Gonzlez-Prelcic, N., Rangan, S., Roh, W., & Sayeed, A. M. (2016). An overview of signal processing techniques for millimeter wave MIMO systems. IEEE Journal of Selected Topics in Signal Processing, 10(3), 436–453.CrossRefGoogle Scholar
  4. 4.
    Rangan, S., Rappaport, T., & Erkip, E. (2014). Millimeter-wave cellular wireless networks: Potentials and challenges. Proceedings of the IEEE, 102(3), 366–385.CrossRefGoogle Scholar
  5. 5.
    Andrews, J., Buzzi, S., Choi, W., Hanly, S., Lozano, A., Soong, A., et al. (2014). What will 5G be? IEEE Journal on Selected Areas in Communications, 32(6), 1065–1082.CrossRefGoogle Scholar
  6. 6.
    Yu, X., Shen, J., Zhang, J., & Letaief, K. B. (2016). Alternating minimization algorithms for hybrid precoding in millimeter wave MIMO systems. IEEE Journal of Selected Topics in Signal Processing, 10(3), 485–500.CrossRefGoogle Scholar
  7. 7.
    Gao, X., Dai, L., Han, S., Chih-Lin, I., & Heath, R. W, Jr. (2016). Energy efficient hybrid analog and digital precoding for mmWave MIMO systems with large antenna arrays. IEEE Journal on Selected Areas in Communications, 34(4), 998–1009.CrossRefGoogle Scholar
  8. 8.
    Alkhateeb, A., Mo, J., Gonzalez-Prelcic, N., & Heath, R. W, Jr. (2014). MIMO precoding and combining solutions for millimeter-wave systems. IEEE Communications Magazine, 52(12), 122–131.CrossRefGoogle Scholar
  9. 9.
    Ayach, O. E., Rajagopal, S., Abu-Surra, S., Pi, Z., & Heath, R. W, Jr. (2014). Spatially sparse precoding in millimeter wave MIMO systems. IEEE Transactions on Wireless Communications, 13(3), 1499–1513.CrossRefGoogle Scholar
  10. 10.
    Alkhateeb, A., El Ayach, O., Leus, G., & Heath, R. W. (2013). Hybrid precoding for millimeter wave cellular systems with partial channel knowledge. In Information theory and applications workshop (ITA), (pp. 1–5)Google Scholar
  11. 11.
    Chen, C. (2015). An iterative hybrid transceiver design algorithm for millimeter wave MIMO systems. IEEE Wireless Communications Letters, 4(3), 285–288.CrossRefGoogle Scholar
  12. 12.
    Pi, Z., & Khan, F. (2011). An introduction to millimeter-wave mobile broadband systems. IEEE Communications Magazine, 49(6), 101–107.CrossRefGoogle Scholar
  13. 13.
    Kim, C., Kim, T., & Seol, J. Y. (2013). Multi-beam transmission diversity with hybrid beamforming for MIMO-OFDM systems. In Globecom workshops (GC Wkshps), (pp. 61–65).Google Scholar
  14. 14.
    Alkhateeb, A., & Heath, R. W, Jr. (2016). Frequency selective hybrid precoding for limited feedback millimeter wave systems. IEEE Transactions on Communications, 64(5), 1801–1818.CrossRefGoogle Scholar
  15. 15.
    Goldsmith, A., Jafar, S. A., Jindal, N., & Vishwanath, S. (2003). Capacity limits of MIMO channels. IEEE Journal on Selected Areas in Communications, 21(5), 684–702.CrossRefGoogle Scholar
  16. 16.
    Hari, K. V. S., Baum, D. S., & Soma, P. (2003). Channel models for fixed wireless applications. In IEEE 802.16 Broadband wireless access working group.Google Scholar
  17. 17.
    Alkhateeb, A., & Heath, R. W. (2016, March). Gram Schmidt based greedy hybrid precoding for frequency selective millimeter wave MIMO systems. In IEEE international conference on acoustics, speech and signal processing (ICASSP), (pp. 3396–3400).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Information and Communication EngineeringDalian University of TechnologyDalianChina
  2. 2.School of Computer Science and TechnologyDalian University of TechnologyDalianChina

Personalised recommendations