Skip to main content
Log in

Extreme learning machine and correntropy criterion-based hybrid precoder for 5G wireless communication systems

  • Original Paper
  • Published:
Signal, Image and Video Processing Aims and scope Submit manuscript

Abstract

Application of massive multiple input multiple output (mMIMO) in millimeter wave (mmWave) band is a promising solution for 5G communication due to low latency and directional beamforming. Hybrid precoding is an integral part of 5G systems to fully exploit spatial information in presence of large path loss with reduction of RF chains. However, hybrid precoder design is a challenging research concern due to the involvement of large number of antennas in transmitter and receiver. Additionally, higher spectral efficiency in the presence of impulsive noise in FR2 or mmWave band also requires attention. ELM (extreme learning machine) has an efficient feed forward neural architecture with only one hidden layer which is suitable to design efficient precoding models. Therefore, this research focuses on to design hybrid precoder in millimeter wave band using ELM and variable center correntropy criterion to obtain higher spectral efficiency. Exhaustive simulation results indicate that the proposed precoder has significantly better performance than state-of-art methods in multiple test conditions. The precoder performance is tested by varying base station antennas, mobile station antennas and number of users. The bit error rate (BER) performance is also analyzed. and comparison results are presented to justify the claim.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig.7
Fig. 8
Fig. 9

Similar content being viewed by others

Data availability

This declaration is “not applicable”.

References

  1. Xiao, M., et al.: Millimeter wave communications for future mobile networks. IEEE J. Sel. Areas Commun. 35(9), 1909–1935 (2017)

    Article  Google Scholar 

  2. Mesbahi, G., Ghaffarpour Rahbar, A.: Cluster-based architecture capable for device-to-device millimeter-wave communications in 5G cellular networks. Arab. J. Sci. Eng. 44, 9719–9733 (2019)

    Article  Google Scholar 

  3. He, X., Guo, Q., Tong, J., Xi, J., Yu, Y.: Low-complexity approximate iterative LMMSE detection for large-scale MIMO systems. Digit. Signal Process. 60, 134–139 (2017)

    Article  Google Scholar 

  4. Zhang, R., Zhang, J., Gao, Y., Zhao, H.: Bussgang decomposition-based sparse channel estimation in wideband hybrid millimeter wave MIMO systems with finite-bit ADCs. Digit. Signal Process. 85, 29–40 (2019)

    Article  Google Scholar 

  5. Liu, F., Bai, X., Du, R., Sun, Z., Kan, X.: Givens rotation based column-wise hybrid precoding for millimeter wave MIMO systems. Digit. Signal Process. 88, 130–137 (2019)

    Article  Google Scholar 

  6. Liu, X., Zou, W.: Block-sparse hybrid precoding and limited feedback for millimeter wave massive MIMO systems. Phys. Commun. 26, 81–86 (2018)

    Article  Google Scholar 

  7. Alkhateeb, A., Leus, G., Heath, R.W.: Limited feedback hybrid precoding for multi-user millimeter wave systems. IEEE Trans. Wirel. Commun. 14(11), 6481–6494 (2015)

    Article  Google Scholar 

  8. Lin, L.-F., Chung, W.-H., Chen, H.-J. and Lee, T.-S.: Energy efficient hybrid precoding for multi-user massive MIMO systems using low-resolution ADCs. In: 2016 IEEE International Workshop on Signal Processing Systems (SiPS), 115–120 (2016).

  9. Ni, W., Dong, X.: Hybrid block diagonalization for massive multiuser MIMO systems. IEEE Trans. Commun. 64(1), 201–211 (2015)

    Article  Google Scholar 

  10. Spencer, Q.H., Swindlehurst, A.L., Haardt, M.: Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels. IEEE Trans. Signal Process. 52(2), 461–471 (2004)

    Article  MathSciNet  Google Scholar 

  11. Nguyen, D.H.N., Le, L.B., Le-Ngoc, T., Heath, R.W.: Hybrid MMSE precoding and combining designs for mmWave multiuser systems. IEEE Access 5, 19167–19181 (2017)

    Article  Google Scholar 

  12. Liu, F., Kan, X., Bai, X., Du, R., Liu, H., Zhang, Y.: Hybrid precoding based on adaptive RF-chain-to-antenna connection for millimeter wave MIMO systems. Phys. Commun. 39, 100997 (2020)

    Article  Google Scholar 

  13. Vizziello, A., Savazzi, P., Chowdhury, K.R.: A Kalman based hybrid precoding for multi-user millimeter wave MIMO systems. IEEE Access 6, 55712–55722 (2018)

    Article  Google Scholar 

  14. Elbir, A.M., Papazafeiropoulos, A.K.: Hybrid precoding for multiuser millimeter wave massive MIMO systems: A deep learning approach. IEEE Trans. Veh. Technol. 69(1), 552–563 (2020)

    Article  Google Scholar 

  15. Huang, H., Song, Y., Yang, J., Gui, G., Adachi, F.: Deep-learning-based millimeter-wave massive MIMO for hybrid precoding. IEEE Trans. Veh. Technol. 68(3), 3027–3032 (2019)

    Article  Google Scholar 

  16. Nalband, A.H., Sarvagya, M., Ahmed, M.R.: Spectral efficient beamforming for mmwave miso systems using deep learning techniques. Arab. J. Sci. Eng. 46, 9783–9795 (2021)

    Article  Google Scholar 

  17. Huang, S., Ye, Y., Xiao, M.: Learning based hybrid beamforming design for full-duplex millimeter wave systems. IEEE Trans. Cogn. Commun. Netw., 2021.

  18. Huang, S., Ye, Y., Xiao, M.: Hybrid Beamforming for Millimeter Wave Multi-User MIMO Systems using Learning Machine. EEE Wirel. Commun. Lett. 9(11), 1914–1918 (2020)

    Article  Google Scholar 

  19. Shhab, L. M. H., Rizaner, A., Ulusoy, A. H., Amca, H.: Impact of impulsive noise on millimeter wave cellular systems performance. In: 2017 10th UK-Europe-China Workshop on Millimetre Waves and Terahertz Technologies (UCMMT), 2017, 1–4

  20. Wang, W., Zhao, H., Zeng, X., Dougançay, K.: Steady-state performance analysis of nonlinear spline adaptive filter under maximum correntropy criterion. IEEE Trans. Circuits Syst. II Express Briefs 67(6), 1154–1158 (2019)

    Google Scholar 

  21. Ma, W., Qu, H., Gui, G., Xu, L., Zhao, J., Chen, B.: Maximum correntropy criterion based sparse adaptive filtering algorithms for robust channel estimation under non-Gaussian environments. J. Franklin Inst. 352(7), 2708–2727 (2015)

    Article  Google Scholar 

  22. Cao, J., Dai, H., Lei, B., Yin, C., Zeng, H., Kummert, A.: Maximum correntropy criterion-based hierarchical one-class classification. IEEE Trans. Neural Netw. Learn. Syst., (2020)

  23. Chen, B., Wang, X., Li, Y., Principe, J.C.: Maximum correntropy criterion with variable center. IEEE Signal Process. Lett. 26(8), 1212–1216 (2019)

    Article  Google Scholar 

  24. Huang, G.-B., Zhou, H., Ding, X., Zhang, R.: Extreme learning machine for regression and multiclass classification. IEEE Trans. Syst. Man Cybern. Part B 42(2), 513–529 (2011)

    Article  Google Scholar 

  25. Sahoo, S., Sahoo, H.K., Nanda, S.: Energy efficient equalizer design for MIMO OFDM communication systems using improved split complex extreme learning machine. Signal Image Video Process. 16, 349–357 (2022)

    Article  Google Scholar 

Download references

Acknowledgements

Authors acknowledge the support from VSSUT, Burla and KIIT University, Bhubaneswar for the support in terms of E-journals, library and the laboratories.

Funding

This declaration is “not applicable”.

Author information

Authors and Affiliations

Authors

Contributions

Swetaleena Sahoo has done the mathematical modeling and simulation. Harish Kumar Sahoo and Sarita Nanda have done the necessary corrections and arrangement of sections in the submitted manuscript. Subhashree Samal has done a literature review on the topic.

Corresponding author

Correspondence to Harish Kumar Sahoo.

Ethics declarations

Conflict of interest

This declaration is “not applicable”.

Ethical approval

This declaration is “not applicable”.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sahoo, S., Sahoo, H.K., Nanda, S. et al. Extreme learning machine and correntropy criterion-based hybrid precoder for 5G wireless communication systems. SIViP (2024). https://doi.org/10.1007/s11760-024-03205-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11760-024-03205-1

Keywords

Navigation