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Robust Relaying Schemes for Multiple-Antenna Multi-Relay Networks

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Abstract

The optimal beamforming weight matrix for amplify and forward multiple-antenna multiple-relay network is investigated. It is assumed that the partial first and second hop channel state information (CSI) is available at relays. In order to minimize the mean square error (MSE) at destination, all relay weight matrices must be designed simultaneously under individual relay power constraints. Using the Lagrange dual variables, it is shown that this general vector optimization problem can be converted into a scalar optimization problem whose scalar Lagrange multipliers can be obtained numerically. This is the generalized version of the scheme suggested for complete CSI. The proposed scheme is evaluated through computer simulation with various numbers of relays and antennas to obtain MSE and bit error rate (BER) metrics. It is also shown that the resulting MSE and BER are less than those of the schemes available in the literature by a good margin depending upon the amount of the utilized relay and antennas as well as the estimation error.

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References

  1. Sendonaris A., Erkip E., Aazhang B. (2003) User cooperation diversity, part I: System description. IEEE Transactions on Communcications 51(11): 1927–1938

    Article  Google Scholar 

  2. Chen D., Laneman J. N. (2006) Modulation and demodulation for cooperative diversity in wireless systems. IEEE Transactions on Wireless Communications 5(7): 1785–1794

    Article  Google Scholar 

  3. Laneman J. N., Tse D. N. C., Wornell G.W. (2004) Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory 50(12): 3062–3080

    Article  MathSciNet  Google Scholar 

  4. 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  Google Scholar 

  5. Yazdi, K. A., El Gamal, H., & Schniter, P. (2003). On the design of cooperative transmission schemes. In Proceedings of 41st Allerton conference communication, control, and computing, Monticello, IL.

  6. Issariyakul T., Krishnamurthy V. (2009) Amplify-and-forward cooperative diversity wireless networks: Model, analysis, and monotonicity properties. IEEE/ACM Transactions on Networking 17(1): 225–238

    Article  Google Scholar 

  7. Nabar, R. U., Kneubuhler, F.W., & Bölcskei, H. (2004). Performance limits of amplify-and-forward based fading relay channels. In Proceedings of IEEE international conference acoustics, speech and signal processing, Montreal (Vol. 4, pp. 565–568).

  8. Abou-Faycal I., Médard M. (2004) Optimal uncoded regeneration for binary antipodal signaling. Proceedings IEEE International Conference on Communications, Paris, France 2: 742–746

    Google Scholar 

  9. Gomadam K. S., Jafar S. A. (2007) Optimal relay functionality for SNR maximization in memoryless relay networks. IEEE Journal of Selected Areas in Communications 25(2): 390–401

    Article  Google Scholar 

  10. Xie L.-L., Kumar P. R. (2007) Multisource, multidestination, multirelay wireless networks. IEEE Transactions on Information Theory 53(10): 3586–3595

    Article  MathSciNet  Google Scholar 

  11. Beres, E., & Adve, R. (2006). On selection cooperation in distributed networks. In Proceedings of IEEE 40th conference on information sciences and systems (CISS 2006) (pp. 1056–1061).

  12. Zhao Y., Adve R., Lim T. J. (2007) Improving amplify-and-forward relay networks: Optimal power allocation versus selection. IEEE Transactions on Wireless Communications 6(8): 3114–3123

    Google Scholar 

  13. Chen M., Serbetli S., Yener A. (2008) Distributed power allocation strategies for parallel relay networks. IEEE Transactions on Wireless Communications 7(2): 552–561

    Article  Google Scholar 

  14. Jing, Y., & Jafarkhani, H. (2007). Network beamforming using relays with perfect channel information. In Procedings of international conference acoustics, speech, signal processing (ICASSP) (no. 3, pp. 473–476).

  15. Tang X., Hua Y. (2007) Optimal design of non-regenerative MIMO wireless relays. IEEE Transactions on Wireless Communications 6(6): 1398–1407

    Article  Google Scholar 

  16. Wang B., Zhang J., Host-Madsen A. (2005) On the capacity of MIMO relay channels. IEEE Transactions on Information Theory 51(1): 29–43

    Article  MathSciNet  Google Scholar 

  17. Khoshnevis B., Yu W., Adve R. (2008) Grassmannian beamforming for MIMO amplify-and-forward relaying. IEEE Journal of Selected Areas in Communications 26(8): 1397–1407

    Article  Google Scholar 

  18. Fan, Y., Thompson, J., Adinoyi, A., & Yanikomeroglu, H. (2006). Space diversity for multi-antenna multi-relay channels. In European wireless conference, Athens.

  19. Fan Y., Thompson J. (2007) MIMO configurations for relay channels: Theory and practice. IEEE Transactions on Wireless Communications 6(5): 1774–1786

    Article  Google Scholar 

  20. Fan Y., Adinoyi A., Thompson J. S., Yanikomeroglu H. (2007) Antenna combining for multi-antenna multi-relay channels. European Transactions on Telecommunications 18(6): 617–626

    Article  Google Scholar 

  21. Paulraj A.J., Paulraj A.J. (2007) Power-bandwidth tradeoff in dense multiantenna relay networks. IEEE Transactions on Wireless Communications 6(6): 2282–2293

    Article  Google Scholar 

  22. Shi H., Abe T., Asai T., Yoshino H. (2007) Relaying schemes using matrix triangularization for MIMO wireless networks. IEEE Transactions on Communications 55(9): 1683–1688

    Article  Google Scholar 

  23. Gharan, S. O., Bayesteh, A., & Khandani, A. K. (2007). Asymptotic analysis of amplify and forward relaying in a parallel MIMO relay network. In Proceedings of 45th annual Allerton conference on communication, control, and computing, Monticello, IL.

  24. Xiao J., Cui S., Luo Z.-Q., Goldsmith A. J. (2008) Linear coherent decentralized estimation. IEEE Transactions on Signal Processing 56(2): 757–770

    Article  MathSciNet  Google Scholar 

  25. Izi, Y. A., & Falahati, A. (2009). On the cooperation and power allocation schemes for multiple-antenna multiple-relay networks. In Proceedings of international conference wireless and mobile communications (ICWMC), Cannes/La Bocca, France (pp. 44–48).

  26. Falahati, A., & Attar Izi, Y. (2010). Power allocation for zero forcing scheme in multiple antenna multiple relay networks. In Proceedings of 5th international symposium on telecommunications, Tehran.

  27. Behbahani A. S., Merched R., Eltawil A. M. (2008) Optimizations of a MIMO relay network. IEEE Transactions on Signal Processing 56(10): 5062–5073

    Article  MathSciNet  Google Scholar 

  28. Guan, W., Luo, H., & Chen, W. (2008). Linear relaying scheme for MIMO relay system with QoS requirements. IEEE Signal Processing Letters. doi:10.1109/LSP.2008.2001978.

  29. Fu Y., Yang L., Zhu W.-P. (2010) A nearly optimal amplify-and-forward relaying scheme for two-hop MIMO multi-relay networks. IEEE Communications Letters 14(3): 229–231

    Article  Google Scholar 

  30. Izi, Y. A., & Falahati, A. (2010). AF relaying for multiple antenna multiple relay networks under individual power constraint at each relay. In The 3rd international symposium on applied sciences in biomedical and communication technologies, Rome, Italy. doi:10.1109/ISABEL.2010.5702868.

  31. Hassibi B., Hochwald B. M. (2003) How much training is needed in multiple-antenna wireless links?. IEEE Transactions on Information Theory 49(4): 951–963

    Article  MATH  Google Scholar 

  32. Nocedal, J., & Wright, S. (2006). Numerical optimization, 2nd ed. (Springer), ISBN: 0387303030.

  33. Boyd, S. P., & Vandenberghe, L. (2004). Convex optimization. (Cambridge University Press). Material available at www.stanford.edu/.boyd.

  34. Joham M., Utschick W., Nossek J. (2005) Linear transmit processing in MIMO communications systems. IEEE Transactions of Signal Processing 53(8): 2700–2712

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering (DCCS Lab), Iran University of Science and Technology, Narmak, Tehran

    Y. Attar Izi & A. Falahati

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  1. Y. Attar Izi
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  2. A. Falahati
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Correspondence to Y. Attar Izi.

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Attar Izi, Y., Falahati, A. Robust Relaying Schemes for Multiple-Antenna Multi-Relay Networks. Wireless Pers Commun 68, 1611–1631 (2013). https://doi.org/10.1007/s11277-012-0542-5

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  • DOI: https://doi.org/10.1007/s11277-012-0542-5

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