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Precise Error Rate Analysis of Wireless Relay Networks

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Abstract

A new method to analyze the bit error rate (BER) performance of two-hop multiple relay networks is presented in this paper. For this work, a flat fading channel is considered for exchanging signals between two wireless users which communicate with each other through set of bidirectional relays that operate as repeaters (amplify-and-forward). Each user adopts a relay selection scheme to choose the relay with the highest signal-to-noise-ratio (SNR). The proposed method aims to reduce the analysis of the two-hop relay network to the BER analysis of one-hop (direct link) and this allows to improve the asymptotic BER (ABER) performance of two-hop. Thereby, the ABER would be more suitable for wide SNR range. From this ABER analysis, the exact BER (EBER) can be obtained directly and this gives a standard BER analysis for bidirectional relay networks. The analytic expressions for both ABER and EBER are derived and then confirmed by simulation results. It is found that the proposal gives low disparity calculation errors between ABER and EBER. It hence provides an accurate BER analysis for a bidirectional relay networks.

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References

  1. Atapattu, S., Jing, Y., Jiang, H., & Tellambura, C. (2013). Relay selection schemes and performance analysis approximations for two-way networks. IEEE Transactions on Communications, 61(3), 987–998.

    Article  Google Scholar 

  2. Khalil, M. I., Berber, S. M., & Sowerby, K. W. (2014). Energy-efficient design for combined relay selection and power allocation AF-relay network. In The 20th Asia-Pacific conference on communication (APCC2014), (pp. 417–422).

  3. Khalil, M. I., Berber, S. M., & Sowerby, K. W. (2016). Energy efficiency and spectrum efficiency balance of wireless relay networks. In 2016 8th IEEE international conference on communication software and networks (ICCSN), (pp. 397–401).

  4. Juan, Z., Sartori, P., & Wei, B. (June 2009) Performance analysis of layer 1 relays. In IEEE international conference on communications workshops, (pp. 1–6)

  5. Wang, Z., & Giannakis, G. (2003). A simple and general parameterization quantifying performance in fading channels. IEEE Transactions on Communications, 51(8), 1389–1398.

    Article  Google Scholar 

  6. Hasna, M., & Alouini, M.-S. (2004). Harmonic mean and end-to-end performance of transmission systems with relays. IEEE Transactions on Communications, 52(1), 130–135.

    Article  Google Scholar 

  7. Cao, R., & Yang, L. (2012). The affecting factors in resource optimization for cooperative communications: A case study. IEEE Transactions on Wireless Communications, 11(12), 4351–4361.

    Article  Google Scholar 

  8. Nguyen, H., Nguyen, H., & Le-Ngoc, T. (2011). Diversity analysis of relay selection schemes for two-way wireless relay networks. Wireless Personal Communications, 59(2), 173–189.

    Article  Google Scholar 

  9. Lingyang, S. (2011). Relay selection for two-way relaying with amplify-and-forward protocols. IEEE Transactions on Vehicular Technology, 60(4), 1954–1959.

    Article  Google Scholar 

  10. Xia, M., & Aissa, S. (2012). Moments based framework for performance analysis of one-way/two-way CSI-assisted af relaying. IEEE Journal on Selected Areas in Communications, 30(8), 1464–1476.

    Article  Google Scholar 

  11. Dohler, M., & Li, Y. (2010). Introduction (pp. 1–41). Wiley.

  12. Carden, F., Jedlicka, R., & Henry, R. (2002). Telemetry systems engineering., Artech House telecommunications library Norwood: Artech House.

    Google Scholar 

  13. Ikki, S. S., & Aissa, S. (2012). Two-way amplify-and-forward relaying with gaussian imperfect channel estimations. Communications Letters, IEEE, 16(7), 956–959.

    Article  Google Scholar 

  14. Hongyu, C., Rongqing, Z., Lingyang, S., & Bingli, J. (2013). Relay selection for bidirectional AF relay network with outdated CSI. IEEE Transactions on Vehicular Technology, 62(9), 4357–4365.

    Article  Google Scholar 

  15. Amin, O., Mesleh, R., Ikki, S., Ahmed, M., & Dobre, O. (2015). Performance analysis of multiple-relay cooperative systems with signal space diversity. IEEE Transactions on Vehicular Technology, 64(8), 3414–3425.

    Article  Google Scholar 

  16. Romero, J., Sallent, O., Agusti, R., & Diaz-Guerra, M. (2005). Radio resource management strategies in UMTS. Hoboken: Wiley.

    Book  Google Scholar 

  17. Liang, Y., Qaraqe, K., Serpedin, E., & Alouini, M. S. (2013). Performance analysis of amplify-and-forward two-way relaying with co-channel interference and channel estimation error. IEEE Transactions on Communications, 61(6), 2221–2231.

    Article  Google Scholar 

  18. Fang, Z., Liang, F., Li, L., & Jin, L. (2014). Performance analysis and power allocation for two-way amplify-and-forward relaying with generalized differential modulation. IEEE Transactions on Vehicular Technology, 63(2), 937–942.

    Article  Google Scholar 

  19. Yang, L., Qaraqe, K., Serpedin, E., & Gao, X. (2015). Performance analysis of two-way relaying networks with the n th worst relay selection over various fading channels. IEEE Transactions on Vehicular Technology, 64(7), 3321–3327.

    Google Scholar 

  20. Pahlavan, K., & Levesque, A. (2005). Wireless information networks. Hoboken: Wiley.

    Book  Google Scholar 

  21. Obaidat, M., & Misra, S. (2011). Cooperative networking. Hoboken: Wiley. (book section 12).

    Book  Google Scholar 

  22. Ramakrishna, J. (2001). Spatial diversity for wireless communications. In Handbook of antennas in wireless communications. Electrical engineering and applied signal processing series. CRC Press

  23. Rankov, B., & Wittneben, A. (2007). Spectral efficient protocols for half-duplex fading relay channels. IEEE Journal on Selected Areas in Communications, 25(2), 379–389.

    Article  Google Scholar 

  24. Dohler, M., & Li, Y. (2010) Transparent relaying techniques. In Cooperative communications (pp. 141–207), Wiley.

  25. Song, K., Ji, B., Huang, Y., Xiao, M., & Yang, L. (2015). Performance analysis of antenna selection in two-way relay networks. IEEE Transactions on Signal Processing, 63(10), 2520–2532.

    Article  MathSciNet  Google Scholar 

  26. Khalil, M. I., Berber, S. M., & Sowerby, K. W. (2016) Bit error rate performance analysis in amplify-and-forward relay networks. In Wireless networks, (pp. 1–11). doi:10.1007/s11276-016-1196-0.

  27. Khalil, M. I., Berber, S. M., & Sowerby, K. W. (2016) Error rate analysis of AF-relay wireless networks under different SNR levels. In Physical communication (vol. 20, pp. 85–92), www.sciencedirect.com/science/article/pii/S1874490716300416.

  28. Carden, F., Henry, R., & Jedlicka, R. (2002). Telemetry systems engineering (2nd ed.). Norwood, MA, USA: Artech House Inc.

    Google Scholar 

  29. David, H., & Nagaraja, H. (2004). Order statistics. Hoboken: Wiley.

    Book  MATH  Google Scholar 

  30. Kaltenbach, H.-M. (2012) Basics of probability theory. In A concise guide to statistics, Springer briefs in statistics (vol. 1, pp. 1–27), Berlin: Springer.

  31. Pahlavan, K., & Krishnamurthy, P. (2013). Physical layer alternatives for wireless networks. Hoboken: Wiley.

    Google Scholar 

  32. Komo, J. (1987) Functions of random variables. In Random signal analysis in engineering systems (vol. 3, pp. 89–123), Elsevier Science.

  33. Madhow, U., & Madhow, U. (2008). Demodulation fundamentals of digital communication. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  34. Madhow, U. (2014). Probability and random process. Cambridge: Cambridge University Press. (book section 5).

    Google Scholar 

  35. Molisch, A. (2012) Diversity. In Wireless communications, 2nd ed. (pp. 249–275), Wiley.

  36. Yang, H.-C., & Alouini, M.-S. (2011) Distributions of order statistics. In Order statistics in wireless communications (pp. 40–71), Cambridge University Press.

  37. Goldsmith, A. (2005). Wireless communications. Cambridge: Cambridge University Press.

    Book  Google Scholar 

  38. Miller, S. L., & Childers, D. (2012). Chapter 6—multiple random variables. In S. L. M. Childers (Ed.), Probability and random processes (2nd ed., pp. 245–288). Boston: Academic Press.

    Chapter  Google Scholar 

  39. Ross, S. (2013). Chapter 2—elements of probability. In S. Ross (Ed.), Simulation (5th ed., pp. 5–38). Cambridge: Academic Press.

    Chapter  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, The University of Auckland, Auckland, New Zealand

    Muhammad I. Khalil, Stevan M. Berber & Kevin W. Sowerby

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  1. Muhammad I. Khalil
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  2. Stevan M. Berber
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  3. Kevin W. Sowerby
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Correspondence to Muhammad I. Khalil.

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Khalil, M.I., Berber, S.M. & Sowerby, K.W. Precise Error Rate Analysis of Wireless Relay Networks . Wireless Pers Commun 95, 5081–5096 (2017). https://doi.org/10.1007/s11277-017-4146-y

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  • DOI: https://doi.org/10.1007/s11277-017-4146-y

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