Skip to main content
SpringerLink
Log in

On the Optimality of Multi-User Coordinated Zero-Forcing Beamforming Multicell Systems with Limited Feedback in Interference Channels

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

An efficient multicell coordinated zero-forcing channel feedback scheme is proposed in this paper. The objective of the proposed feedback design is to control the rate of the user by adaptive allocation of feedback bits of each user as a function of individual channel status thereby keeping the total feedback budge constant. The proposed feedback allocation is studied in interfering broadcast channel (IFBC) and also in time varying channels (TVC) with feedback update duration. First the individual feedback rates of user are derived using convex optimization thereby presenting low complexity algorithm to optimize the channel feedback between inter-user interference and inter-cell interference. The rate offset arising from channel quantization in both IFBC and TVC is investigated by employing the coordinated zero forcing beamforming. Moreover, closed form expressions are derived for necessary feedback scaling and frequency of update duration to achieve the multiplexing gain and throughput. Finally, numerical evaluation results show that the proposed channel feedback schemes outperforms other conventional schemes and assist in base station cooperation management. It can be concluded that frequent update of channel state information and suppression of dominant interferences can yield significant improvements in the sumrate performance of limited feedbback systems.

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

Similar content being viewed by others

References

  1. Jindal, N. (2006). MIMO braodcast channels with finite rate feedback. IEEE Transactions on Information Theory, 52(11), 5045–5060.

    Article  MathSciNet  MATH  Google Scholar 

  2. Yoo, T., Jindal, N., & Goldsmith, A. (2007). Multi-antenna downlink channels with limited feedback and user selection. IEEE Journal of Selected Areas in Communications, 25(7), 1478–1491.

    Article  Google Scholar 

  3. Au-Yeung, C. K., & Love, D. J. (2007). On the performance of random vector quantization limited feedback beamforming in a MISO system. IEEE Transcations on Wireless Communicationn, 6(2), 458–462.

    Article  Google Scholar 

  4. Cho, S., Huang, K., Kim, D., & Seo, H. (2012). Interference alignment for uplink cellular systems with limited feedback. IEEE Communication Letters, 16(7), 960–963.

    Article  Google Scholar 

  5. Zhang, J., & Andrews, J. G. (2010). Adaptive intercell interference cancellation in multicell wireless networks. IEEE Journal on Selected Areas in Communications, 28(9), 1455–1468.

    Article  Google Scholar 

  6. Gesbert, D., et al. (2010). Multi-cell MIMO cooperative networks: A new look at interference. IEEE Journal on Selected Areas in Communication, 28(9), 1380–1408.

    Article  Google Scholar 

  7. Balaji, S., Santhakumar, R., Mallick, P. S., & Nithiyanandan, L. (2013). Intercell interference nulling with bit partitioning for extended Clarke’s modelled multi-cell wireless networks. Australian Journal of Electrical and Electronics Engineering, 10(4), 535–541.

    Article  Google Scholar 

  8. Bhagavatula, R., & Heath, R. W. (2011). Adaptive bit partitioning for multicell intercell interference nulling with delayed limited feedback. IEEE Transactions on Signal Processing, 59(8), 3824–3836.

    Article  MathSciNet  Google Scholar 

  9. Lin, Y.-P., et al. (2012). Bit allocation and statistical precoding for correlated MIMO channels with limited feedback. IEEE Transactions on Vehicular Technology, 61(2), 597–606.

    Article  Google Scholar 

  10. Kim, K., Kim, T., Love, D. J., & Kim, H. (2012). Differential feedback in codebook-Based multiuser MIMO systems in slowlying varying channels. IEEE Transactions on Communications, 60(2), 578–588.

    Article  Google Scholar 

  11. Sohn, I., Park, C. S., & Lee, K. B. (2012). Downlink multiuser MIMO systems with adaptive feedback rate. IEEE Transcations on Vehicular Technology, 61(3), 1445–1451.

    Article  Google Scholar 

  12. Kim, S., Kim, D., & Lee, Y. H. (2013). Limited channel feedback for coordinated beamforming under SINR requirements. In IEEE International Conference on Communications (IEEE- ICC’13) (pp. 431–435).

  13. Akom, S., & Heath, R. W., Jr. (2013). Interference coordiantion: Random clustering and adaptive limited feedback. IEEE Transcations on Signal Processing, 61(7), 1822–1834.

    Article  Google Scholar 

  14. Lee, Namoon., & Shin, Wojnae. (2011). Adaptive feedback scheme on K-cell MISO interfering broadcast channel with limited feedback. IEEE Transcations on Wireless Communications, 10(2), 401–406.

    Article  Google Scholar 

  15. Ozbek, B., & Le Ruyet, D. (2014). Adaptive limited feedback links for cooperative multi-antenna multicell networks. EURASIP Journal on Wireless Communication and Networking, 1, 1–11. doi:10.1186/1687-1499-2014-193.

    Google Scholar 

  16. Balaji, S., Santhakumar, R., & Mallick, P. S. (2015). Enhancing coverage and rate of cell edge user in multi-antenna poission voronoi cells. Journal of Circuits, Systems and Computers. doi:10.1142/S0218126615501170.

    Google Scholar 

  17. Kim, H., Yu, H., & Lee, Y. H. (2015). Limited feedback for multi-cell zero-forcing coordinated beamforming in time-varying channels. IEEE Transcations on Vehicular Technology, 64(6), 2349–2360.

    Article  Google Scholar 

  18. Balaji, S., Mallick, P. S., & Gnanagurunathan, G. (2015). Threshold based limited feedback bit partitioning for interference channels in multicell systems. Journal of Engineering Science and Technology Review, 9(4), 82–89.

    Google Scholar 

  19. Hassen, W. B., Afif, M. & Tabbane, S. (2016). Interference mitigation through inter-cell interference coordination using virtual PRB allocation in 4G networks. Wireless Personal Communication, 90(3), 1179–1209.

    Article  Google Scholar 

  20. Muharar, R., Zakhour, R. & Evans, J. (2014). Base station cooperation with feedback optimization: A large system analysis. IEEE Transactions on Information Theory, 60(6), 3620–3644.

    Article  MathSciNet  MATH  Google Scholar 

  21. Annapureddy, V. S. & Veeravalli, V. V. (2009). Gaussian interference networks: Sum capacity in the low-interference regime and new outer bounds on the capacity region. IEEE Transactions on Information Theory, 55(7), 3032–3050.

    Article  MathSciNet  MATH  Google Scholar 

  22. S. Balaji, & Mallick, P. S. (2017). Performance analysis of adaptive limited feedback coordinated zero-forcing multicell systems in time-varying channels: A practical approach. International Journal of Communication Systems, 30(14):e3301.

    Article  Google Scholar 

  23. Boyd, S., & Vandenberghe, L. (2004). Convex optimization. UK: Cambridge University Press.

Download references

Author information

Authors and Affiliations

  1. School of Electrical Engineering, VIT University, Vellore, 632014, India

    S. Balaji & P. S. Mallick

Authors
  1. S. Balaji
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. S. Mallick
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Balaji.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Balaji, S., Mallick, P.S. On the Optimality of Multi-User Coordinated Zero-Forcing Beamforming Multicell Systems with Limited Feedback in Interference Channels. Wireless Pers Commun 98, 521–540 (2018). https://doi.org/10.1007/s11277-017-4882-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-017-4882-z

Keywords

Search

Navigation