Skip to main content
Log in

Interference mitigation in Z-channel and relay-assisted Z-channel: a diversity gain region perspective

  • Published:
Wireless Networks Aims and scope Submit manuscript

Abstract

This work considers the interference management in Z-channel and full-duplex decode-and-forward (FD DF) relay-assisted Z-channel. In the case of Z-channel, closed-form expressions for the achievable diversity gain regions (DGRs) with both single-user (SU) codes and multi-user (MU) codes are presented. The closed-form expression for the achievable DGR of the clustered FD DF relay-assisted Z-channel with SU codes is also presented. In the Z-channel, if the interference-free receiver is constrained to operate at optimal diversity multiplexing tradeoff (DMT), the SU codes are shown to achieve better DGR than MU codes. Furthermore, in the Z-channel, the SU codes achieve DGR outer bound at low multiplexing gain region, and MU codes can never achieve DGR outer bound. Also, we have shown that Z-channel with two co-located antennas at the interfering transmitter achieves better DGR compared to that of the clustered FD DF relay-assisted Z-channel with single antenna at the interfering transmitter.

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

Similar content being viewed by others

References

  1. Nam, W., Bai, D., Lee, J., & Kang, I. (2014). Advanced interference management for 5G cellular networks. IEEE Communications Magazine, 52(5), 52–60.

    Article  Google Scholar 

  2. Sezgin, A., Jafar, S. A., & Jafarkhani, H. (2009). The diversity multiplexing tradeoff for interference networks. arXiv preprint. arXiv:0905.2447.

  3. Vishwanath, S., Jindal, N., & Goldsmith, A. (2003). The “z” channel. In Global telecommunications conference, 2003. GLOBECOM’03. IEEE, vol. 3. IEEE, pp. 1726–1730.

  4. Lee, J., Toumpakaris, D., & Yu, W. (2011). Interference mitigation via joint detection. IEEE Journal on Selected Areas in Communications, 29(6), 1172–1184.

    Article  Google Scholar 

  5. Han, T., & Kobayashi, K. (1981). A new achievable rate region for the interference channel. IEEE Transactions on Information Theory, 27(1), 49–60.

    Article  MathSciNet  MATH  Google Scholar 

  6. Raja, A., & Viswanath, P. (2011). Diversity-multiplexing tradeoff of the two-user interference channel. IEEE Transactions on Information Theory, 57(9), 5782–5793.

    Article  MathSciNet  Google Scholar 

  7. Ebrahimzad, H., & Khandani, A. K. (2012). On the optimum diversity-multiplexing tradeoff of the two-user gaussian interference channel with Rayleigh fading. IEEE Transactions on Information Theory, 58(7), 4481–4492.

    Article  MathSciNet  Google Scholar 

  8. Weng, Y., & Tuninetti, D. (2011). Outage analysis of block-fading Gaussian interference channels. IEEE Transactions on Information Theory, 57(10), 6487–6501.

    Article  MathSciNet  Google Scholar 

  9. Karmakar, S., & Varanasi, M. K. (2010). The diversity-multiplexing tradeoff of the mimo z interference channel. In Proceedings of the IEEE international symposium on information theory (ISIT), pp. 2188–2192.

  10. Li, Q., Li, K. H., & Teh, K. C. (2011). Diversity-multiplexing tradeoff of fading interference channels with source cooperation and partial CSIT. IEEE Transactions on Information Theory, 57(5), 2781–2804.

    Article  MathSciNet  Google Scholar 

  11. Maric, I., & Goldsmith, A.J.(2011). Diversity-multiplexing tradeoff in a mimo gaussian interference channel with a relay. In Proceedings of the IEEE international symposium on information theory (ISIT), pp. 2622–2626.

  12. Zahavi, D., Zhang, L., Dabora, R., Goldsmith, A.J., & Cui, S.(2013). Diversity-multiplexing tradeoff for the interference channel with a relay. In Proceedings of the IEEE international symposium on information theory (ISIT). IEEE, pp. 2188–2192.

  13. Sirigina, R. P., Madhukumar, A. S., & Li, Q. (2012). Performance analysis of z-channel with relay under Rayleigh fading and discrete constellations. In Proceedings of the IEEE wireless communications and networking conference (WCNC), pp. 92–96.

  14. Weng, L., Anastasopoulos, A., & Pradhan, S. S. (2004). Diversity gain region for mimo fading broadcast channels. In Information theory workshop. IEEE, pp. 359–364.

  15. Weng, L., Anastasopoulos, A., & Pradhan, S. S. (2011). Diversity gain regions for mimo fading broadcast channels. IEEE Transactions on Communications, 59(10), 2716–2728.

    Article  Google Scholar 

  16. Weng, L., Pradhan, S. S., & Anastasopoulos, A. (2004). Diversity gain region for mimo fading multiple-access channels. In Proceedings of the Allerton conference on communication, control, and computing. Allerton, IL: IEEE.

  17. Nafea, M. S., Seddik, K. G., Nafie, M., & Gamal, H. E. (2012). On the diversity gain region of the z-interference channels. In Proceedings of the IEEE international conference on communications (ICC), pp. 2392–2397.

  18. Sirigina, R. P., & Madhukumar, A. S. (2015). On the diversity gain region for the relay assisted interference management. In Proceedings of the 81st IEEE international vehicular technology conference (VTC2015- Spring), Accepted. IEEE.

  19. Sirigina, R. P., & Madhukumar, A. S. (2015). On the symbol error rate and diversity gain region of the relay-assisted Z-channel. IEEE Transactions on Wireless Communications. Accepted for publication.

  20. Kwon, T., Lim, S., Choi, S., & Hong, D. (2010). Optimal duplex mode for DF relay in terms of the outage probability. IEEE Transactions on Vehicular Technology, 59(7), 3628–3634.

    Article  Google Scholar 

  21. Yuksel, M., & Erkip, E. (2007). Multiple-antenna cooperative wireless systems: A diversity-multiplexing tradeoff perspective. IEEE Transactions on Information Theory, 53, 3371–3393.

    Article  MathSciNet  MATH  Google Scholar 

  22. Zahir, T., Arshad, K., Nakata, A., & Moessner, K. (2013). Interference management in femtocells. IEEE Communications Surveys & Tutorials, 15(1), 293–311.

    Article  Google Scholar 

  23. Zheng, L., & Tse, D. N. C. (2003). Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels. IEEE Transactions on Information Theory, 49(5), 1073–1096.

    Article  MATH  Google Scholar 

  24. Tse, D., & Viswanath, P. (2005). Fundamentals of wireless communication. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  25. Azarian, K., El Gamal, H., & Schniter, P. (2005). On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels. IEEE Transactions on Information Theory, 51(12), 4152–4172.

    Article  MathSciNet  MATH  Google Scholar 

  26. Kramer, G., Gastpar, M., & Gupta, P. (2005). Cooperative strategies and capacity theorems for relay networks. IEEE Transactions on Information Theory, 51(9), 3037–3063.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The authors would like to thank Qian (Clara) Li for providing valuable insights on the interference channels. The authors would like thank the editor and anonymous reviewers whose feedback helped us to improve the quality of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rajendra Prasad Sirigina.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sirigina, R.P., Madhukumar, A.S. Interference mitigation in Z-channel and relay-assisted Z-channel: a diversity gain region perspective. Wireless Netw 23, 51–63 (2017). https://doi.org/10.1007/s11276-015-1125-7

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11276-015-1125-7

Keywords

Navigation