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Wireless Networks

, Volume 25, Issue 6, pp 3133–3147 | Cite as

Three-phase two-way relaying with imperfect channel estimation and asymmetric traffic requirements: performance analysis and optimization

  • Suneel YadavEmail author
Article
  • 90 Downloads

Abstract

We study the effect of imperfect channel estimation (ICE) and asymmetric traffic requirements (ATRs) on the performance of bidirectional relaying with a direct link by employing three-phase analog network coding under Nakagami-m fading. Under such a realistic scenario, a tight lower bound on the overall outage probability is derived in closed-form, while a useful expression is presented for the asymptotically low outage regime. We also deduce the tight closed-form expression for the ergodic sum-rate. Furthermore, we formulate and solve analytically three optimization problems viz., relay power allocation under fixed location of the relay, relay position with fixed relay power allocation, and joint optimization of relay power allocation and location. Our results reveal that for given ICE, the optimal relay location offers significant system performance enhancement under ATRs, whilst the optimal relay power allocation has a more noticeable impact under symmetric traffic. It is also shown that the joint optimization of relay power allocation and location can further enhance the system performance, regardless of ATRs and ICE. Above all, based on the direct link quality, we show that the considered scheme outperforms its two-phase counterpart, even in the low signal-to-noise ratio regime.

Keywords

Asymmetric two-way relaying Imperfect channel estimation Relay location Power allocation Nakagami-m fading 

Notes

Acknowledgements

This research work was supported by the Science and Engineering Research Board (a statutory body of the DST, Govt. of India), under Project ECR/2017/000104.

References

  1. 1.
    Zhang, C., Ge, J., Li, J., Rui, Y., & Guizani, M. (2015). A unified approach for calculating the outage performacne of two-way AF relaying over fading channels. IEEE Transactions on Vehicular Technology, 64(3), 1218–1229.CrossRefGoogle Scholar
  2. 2.
    Yang, K., Yang, N., Xing, C., & Wu, J. (2013). Relay antenna selection in MIMO two-way relay networks over Nakagami-m fading channels. IEEE Transactions on Communications, 63(5), 2349–2362.Google Scholar
  3. 3.
    Shukla, M. K., Yadav, S., & Purohhit, N. (2016). Performance evaluation and optimization of traffic-aware cellular multiuser two-way relay networks over Nakagami-m fading. IEEE Systems Journal,.  https://doi.org/10.1109/JSYST.2016.2597879.Google Scholar
  4. 4.
    Li, J., Zheng, Y., Ge, J., Zhang, C., Gong, F. K., & Guizani, M. (2016). Low-complexity opportunistic transmission schemes for multi-user multi-relay asymmetric bidirectional relaying networks. IEEE Transactions on Wireless Communications, 15(8), 5167–5181.CrossRefGoogle Scholar
  5. 5.
    Cai, G., Fang, Y., Han, G., Xu, J., & Chen, G. (2017). Design and analysis of relay-selection strategies for two-way relay network-coded DCSK systems. IEEE Transactions on Vehicular Technology,.  https://doi.org/10.1109/TVT.2017.2751754.Google Scholar
  6. 6.
    Park, J. C., Song, I., & Kim, Y. H. (2012). Outage-optimal allocation of relay power for analog network coding with three transmission phases. IEEE Communications Letters, 16(6), 838–841.CrossRefGoogle Scholar
  7. 7.
    Yadav, S., & Upadhyay, P. K. (2013). Performance of three-phase analog network coding with relay selection in Nakagami-m fading. IEEE Communications Letters, 17(8), 1620–1623.CrossRefGoogle Scholar
  8. 8.
    Fang, Z., & Zhang, L. (2015). Three-phase differential transmission for two-way relay networks with direct link. In Proccedings of 5th international conference on electronics information and emergency communincation (ICEIEC) (pp. 297–300).Google Scholar
  9. 9.
    Chang, R. Y., Lin, S.-J., & Chung, W.-H. (2015). On network coding and modulation mapping for three-phase bidirectional relaying. In Proccedings of IEEE 26th international symposium on personal, indoor and mobile radio communications (pp. 191–196).Google Scholar
  10. 10.
    Ntontin, K., Renzo, M. D., & Verikoukis, C. (2016). Analog network-coded two-way relaying under the impact of CSI errors and network interference. IEEE Transactions on Vehicular Technology, 65(11), 9029–9040.CrossRefGoogle Scholar
  11. 11.
    Salari, S., Amirani, M. Z., Kim, I.-M., Kim, D. I., & Yang, J. (2016). Distributed beamforming in two-way relay networks with interference and imperfect CSI. IEEE Transactions on Wireless Communications, 15(6), 4455–4469.CrossRefGoogle Scholar
  12. 12.
    Wang, C., Liu, T. C.-K., & Dong, X. (2012). Impact of channel estimation error on the performance of amplify-and-forward two-way relaying. IEEE Transactions on Vehicular Technology, 61(3), 1197–1207.CrossRefGoogle Scholar
  13. 13.
    Chang, Z., Qianqian, Z., Xijuan, G., & Tapani, R. (2015). Energy-efficient resource allocation for OFDMA two-way relay networks with imperfect CSI. EURASIP Journal on Wireless Communications and Networking,.  https://doi.org/10.1186/s13638-015-0455-6.Google Scholar
  14. 14.
    Chang, Z., Tapani, R., & Niu, Z. (2014). Radio resource allocation for collaborative OFDMA relay networks with imperfect channel state information. IEEE Transactions on Wireless Communications, 13(5), 2824–2835.CrossRefGoogle Scholar
  15. 15.
    Yadav, S., & Upadhyay, P. K. (2014). Overall outage analysis of three-phase analog network coding with channel estimation errors. In Proccedings of IEEE vehicular technology conference (pp. 1–5).Google Scholar
  16. 16.
    Ji, X., Zheng, B., Cai, Y., & Zou, L. (2012). On the study of half-duplex asymmetric two-way relay transmission using an amplify-and-forward relay. IEEE Transactions on Vehicular Technology, 61(4), 1649–1664.CrossRefGoogle Scholar
  17. 17.
    Zhang, C., Ge, J., Li, J., & Hu, Y. (2013). Performance evaluation for asymmetric two-way AF relaying in Rician fading. IEEE Wireless Communications Letters, 2(3), 307–310.CrossRefGoogle Scholar
  18. 18.
    Ni, Z., Zhang, X., & Yang, D. (2014). Outage performance of two-way fixed gain amplify-and-forward relaying system with asymmetric traffic requirements. IEEE Communications Letters, 18(1), 78–81.CrossRefGoogle Scholar
  19. 19.
    Chang, Z., & Tapani, R. (2013). Asymmetric radio resource allocation scheme for OFDMA wireless networks with collaborative relays. Wireless Networks,.  https://doi.org/10.1007/s11276-012-0490-8.Google Scholar
  20. 20.
    Yadav, S., Chawla, R., & Upadhyay, P. K. (2016). Outage performance and location optimization for traffic-aware two-way relaying with direct link. In Proceedings of international conference on signal processing and communications (SPCOM) (pp. 1–5).Google Scholar
  21. 21.
    Li, J., Ge, J., Zhang, C., Shi, J., Rui, Y., & Guizani, M. (2013). Impact of channel estimation error on bidirectional MABC-AF relaying with asymmetric traffic requirements. IEEE Transactions on Vehicular Technology, 62(4), 1755–1769.CrossRefGoogle Scholar
  22. 22.
    Hwang, K. S., Ju, M., & Alouini, M.-S. (2013). Outage performance of opportunistic two-way amplify-and-forward relaying with outdated channel state information. IEEE Transactions on Communications, 61(9), 3635–3643.CrossRefGoogle Scholar
  23. 23.
    Zhang, C., Ge, J., Li, J., & Hu, Y. (2012). Fairness-aware power allocation for asymmetric two-way AF relaying networks. Electronics Letters, 48(15), 959–961.CrossRefGoogle Scholar
  24. 24.
    Zhang, C., Ge, J., Li, J., Gong, F., Ji, Y., & Farah, M. A. (2016). Energy efficiency and spectral efficiency tradeoff for asymmetric two-way AF relaying with statistical CSI. IEEE Transactions on Vehicular Technology, 65(4), 2833–2839.CrossRefGoogle Scholar
  25. 25.
    Xu, K., Zhang, D., Xu, Y., & Ma, W. (2014). On the equivalence of two optimal power allocation schemes for A-TWRC. IEEE Transactions on Vehicular Technology, 63(4), 1970–1976.CrossRefGoogle Scholar
  26. 26.
    Ji, X., Zhu, W.-P., & Massicotte, D. (2014). Adaptive power control for asymmetric two-way amplify-and-forward relaying with individual power constraints. IEEE Transactions on Vehicular Technology, 63(9), 4315–4333.CrossRefGoogle Scholar
  27. 27.
    Wang, J. S., Lee, S. R., & Kim, Y. H. (2014). Rate-aware three phase analog network coding with low-complexity multi-antenna relay processing. In Proceedinigs of IEEE WCNC (pp. 1065–1069).Google Scholar
  28. 28.
    ElHalawany, B. M., Elsabrouty, M., Muta, O., Abdelrahman, A., & Furukawa, H. (2014). Joint energy-efficient single relay selection and power allocation for analog network coding with three transmission phases. In Proceedinigs of IEEE VTC spring (pp. 1–7).Google Scholar
  29. 29.
    Yadav, S., Upadhyay, P. K., & Prakriya, S. (2014). Performance evaluation and optimization for two-way relaying with multi-antenna sources. IEEE Transactions on Vehicular Technology, 63(6), 2982–2989.CrossRefGoogle Scholar
  30. 30.
    Soleimani-Nasab, E., Matthaiou, M., Ardebilipour, M., & Karragiannidis, G. K. (2013). Two-way AF relaying in the presence of co-channel interference. IEEE Transactions on Communications, 61(8), 3156–3169.CrossRefGoogle Scholar
  31. 31.
    Yadav, S., & Upadhyay, P. K. (2015). Impact of outdated channel estimates on opportunistic two-way ANC-based relaying with three-phase transmissions. IEEE Transactions on Vehicular Technology, 64(12), 5750–5766.CrossRefGoogle Scholar
  32. 32.
    Gradshteyn, I. S., & Ryzhik, I. M. (2000). Tables of integrals, series and products (6th ed.). New York: Academic Press.zbMATHGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringIndian Institute of Information TechnologyAllahabadIndia

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