Skip to main content
SpringerLink
Log in

Block-wise Kaczmarz successive interference cancellation: a matrix algebraic approach

  • Published:
Annals of Telecommunications Aims and scope Submit manuscript

Abstract

In this work, a novel block-wise Kaczmarz successive interference cancellation (BKSIC) detector, that is, a generalization of the Kaczmarz SIC detector proposed recently, is presented. Two reduced complexity versions of this detector are also detailed. This new detector is then analyzed using a matrix algebraic approach and shown that it is in fact a matrix filtering of the received signal, which allows the derivation of a closed form expression for its BER performance. Its convergence behavior is studied and the conditions of its convergence are determined. Simulation results indicate that the proposed block-wise SIC detector not only reduces significantly the detection delay but also achieves better BER performance.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

Notes

  1. A flop stands for floating point operation. Operations such as addition, multiplication, subtraction, division, and compare are considered one flop.

References

  1. Adnan S, Yuli F, Ahmed BJ, Tahir MF, Banoori F, (2020) Modified ordered successive interference cancellation MIMO detection using low complexity constellation search, AEU – Int J Electron Commun 121.

  2. Ahmad M, Baig S, Asif HM, Raahemifar K (2021) Mitigation of imperfect successive interference cancellation and wavelet-based nonorthogonal multiple access in the 5G multiuser downlink network. Wirel Commun Mob Comput 2021(8876026):11. https://doi.org/10.1155/2021/8876026

    Article  Google Scholar 

  3. Albreem MA, Juntti M and Shahabuddin S, (2019) Massive MIMO detection techniques: a survey, in IEEE Communications Surveys & Tutorials, vol. 21, no. 4, pp. 3109-3132, Fourthquarter

  4. Babich F, Comisso M, Cuttin A et al (2020) Exploiting capture and interference cancellation for uplink random multiple access in 5G millimeter-wave networks. Ann Telecommun 75:1–15. https://doi.org/10.1007/s12243-019-00714-w

    Article  Google Scholar 

  5. Bentrcia A, (2008) Linear Interference Cancellation Structures in DS-CDMA Systems, D.Sc, Dissertation, Batna University, Algeria

  6. Bentrcia A (2019) Kaczmarz successive interference cancellation: a matrix algebraic approach. Digit Signal Process 89:60–69

    Article  MathSciNet  Google Scholar 

  7. Bentrcia A, Alshebeili SA (2012) Regularization property of linear interference cancellation detectors. EURASIP J Adv Signal Process 2012:1–17

    Article  Google Scholar 

  8. Bentrcia A, Zerguine A (2009) A new linear group-wise parallel interference cancellation detector. Wirel Pers Commun 49:23–34. https://doi.org/10.1007/s11277-008-9553-7

    Article  Google Scholar 

  9. Chen M and Burr A, (2019) Multiuser detection for uplink non-orthogonal multiple access system, in IET Communications, 13, 19 pp. 3222-3228, 3 12. https://doi.org/10.1049/iet-com.2018.6092.

  10. Choi J (2010) MIMO detection with successive interference cancellation. In: Optimal combining and detection: statistical signal processing for communications. Cambridge University Press, Cambridge, pp 217–245. https://doi.org/10.1017/CBO9781139193535.009

    Chapter  MATH  Google Scholar 

  11. Debi Pada J, Gupta S, (2020) Machine learning enabled detection for OOK-PD-NOMA system over standard single mode fiber. Optics Commun 473

  12. Elfving T, Hansen PC, Nikazad T (2016) Convergence analysis for column-action methods in image reconstruction. Numer Algorithm 74(3):905–924. https://doi.org/10.1007/s11075-016-0232-6

    Article  MathSciNet  MATH  Google Scholar 

  13. Guo W, Chen H (2012) Improving SIRT algorithm for computerized tomographic image reconstruction. In: Qian Z, Cao L, Su W, Wang T, Yang H (eds) Recent advances in computer science and information engineering. Lecture Notes in Electrical Engineering, vol 128. Springer, Berlin, Heidelberg.

  14. Johansson AL, Rasmussen LK, (1998) Linear group-wise successive interference cancellation in CDMA, in: IEEE 5th International Symposium on Spread Spectrum Techniques and Applications. Proceedings, vol. 1, 2–4, pp.121–126.

  15. Kilzi A, Farah J, Abdel Nour C and Douillard C, (2020) Mutual successive interference cancellation strategies in NOMA for enhancing the spectral efficiency of CoMP systems, In IEEE Transactions on Communications, vol. 68, no. 2, pp. 1213-1226.

  16. Liang Y, Islim MS, Haas H. (2017) LiFi: transforming fibre into wireless, Proc. SPIE 10128, Broadband Access Communication Technologies XI, 1012802

  17. Miridakis NI and Vergados DD, (2013) A survey on the successive interference cancellation performance for single-antenna and multiple-antenna OFDM systems, in IEEE Communications Surveys & Tutorials, vol. 15, no. 1, pp. 312-335, First Quarter. https://doi.org/10.1109/SURV.2012.030512.00103.

  18. Nguyen TK, Nguyen HH and Nguyen TH, (2019) Multiuser massive MIMO systems with time-offset pilots and successive interference cancellation, in IEEE Access, vol. 7, pp. 132748-132762, doi: https://doi.org/10.1109/ACCESS.2019.2940458.

  19. Ohashi AA et al., (2021) Cell-free massive MIMO-NOMA systems with imperfect SIC and non-reciprocal channels, in IEEE Wireless Communications Letters, vol. 10, no. 6, pp. 1329-1333, doi: https://doi.org/10.1109/LWC.2021.3066042.

  20. Peköz B, Ankarali ZE, Köse S and Arslan H, (2020) Non-redundant OFDM receiver windowing for 5G frames and beyond, in IEEE Transactions on Vehicular Technology vol. 69, no. 1 pp. 676-684.

  21. Rasmussen LK, Lim TJ and Johansson A, (2000) A matrix-algebraic approach to successive interference cancellation in CDMA, in IEEE Transactions on Communications, vol. 48, no. 1, pp. 145-151, .

  22. Tran T, Voznak M (2020) On secure system performance over SISO, MISO and MIMO-NOMA wireless networks equipped a multiple antenna based on TAS protocol. J Wireless Com Netw 2020:11. https://doi.org/10.1186/s13638-019-1586-y

    Article  Google Scholar 

  23. Verdu S (1998) Multiuser Detection. Cambridge University Press

    MATH  Google Scholar 

Download references

Acknowledgements

The author acknowledges the support of King Saud University.

Author information

Authors and Affiliations

  1. College of Applied Engineering, Muzahmiah, King Saud University, Riyadh, Saudi Arabia

    Abdelouahab Bentrcia

Authors
  1. Abdelouahab Bentrcia
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Abdelouahab Bentrcia.

Additional information

Publisher’s note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bentrcia, A. Block-wise Kaczmarz successive interference cancellation: a matrix algebraic approach. Ann. Telecommun. 77, 589–599 (2022). https://doi.org/10.1007/s12243-021-00883-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12243-021-00883-7

Keywords

Search

Navigation