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Wireless Personal Communications
Published in: Wireless Personal Communications 4/2017

05-09-2017

A New Transmit Beamforming Scheme for Bidirectional Relaying

Authors: Md. Noor-A-Rahim, Yong Liang Guan

Published in: Wireless Personal Communications | Issue 4/2017

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Abstract

In this paper, we study the bidirectional/two-way relaying while considering dual antennas at the relay. With detect-and-forward relaying, we propose a transmit beamforming scheme using equal gain transmission (EGT) principle in the bidirectional relaying. Analytical outage probability and symbol error probability for the proposed scheme are presented and a close match with the numerical results is observed. Through numerical results, we show that EGT based transmit beamforming performs slightly worse than the optimum transmit beamforming scheme, while EGT is simpler to implement and requires partial channel state information (CSI). We also show that EGT based transmit beamforming outperforms existing transmission schemes in the presence of CSI error .
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Footnotes
1
Note that [5] presented DF bidirectional relaying using single relay antenna while utilizing error correcting codes. In contrast, this paper does not consider error correcting codes.
 
2
In other words, the relay estimates \(x_A\) correctly. Note that only the analytical results adopt the assumption of perfect self interference cancellation. Despite this assumption, we show in Sect. 5 that the analytical results match closely with the simulation results, hence the probability of cancellation error is negligible.
 
3
A close form expression of (11) can be derived by following [11, Eq. 17].
 
Literature
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Zhang, S., Liew, S. C., & Lam, P. P. (2006) . Physical-layer network coding. In Proceedings of the IEEE conference on mobile communications (MobiComm’2006) (pp. 358–365).
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Popovski, P., & Yomo, H. (2007). Physical network coding in two-way wireless relay channels. In Proceedings of the IEEE international conference on communication (ICC) (pp. 707–712).
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Yuen, C., Chin, W. H., Guan, Y. L., Chen, W., & Tee, T. (2008). Bi-directional multi-antenna relay communications with wireless network coding. In IEEE vehicular technology conference (pp. 1385–1388).
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Zhang, S., & Liew, S. C. (2009). Channel coding and decoding in a relay system operated with physical-layer network coding. IEEE Journal on Selected Areas in Communications, 27(5), 788–796.CrossRef
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Eslamifar, M., Chin, W. H., Yuen, C., & Guan, Y. L. (2012). Performance analysis of two-step bi-directional relaying with multiple antennas. IEEE Transactions on Wireless Communications, 11(12), 4237–4242.CrossRef
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Love, D. J., & Heath, R. W. (2003). Equal gain transmission in multiple-input multiple-output wireless systems. IEEE Transactions on Communications, 51(7), 1102–1110.CrossRef
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Simon, M. K., & Alouini, M. S. (1939). Digital communication over fading channels. New Jersey: Wiley.
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Larsson, E. G., & Stoica, P. (2003). Space-time block coding for wireless communications. Cambridge: Cambridge University Press.CrossRefMATH
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Papoulis, A., & Pillai, S. U. (2002). Probability, random variables and stochastic processes. New York City: McGraw Hill Press.
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Qi, X., Alouini, M. S., & Ko, Y.-C. (2003). Closed-form analysis of dual-diversity equal-gain combining over rayleigh fading channels. IEEE Transactions on Wireless Communications, 2(6), 1120–1125.CrossRef
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Metadata
Title
A New Transmit Beamforming Scheme for Bidirectional Relaying
Authors
Md. Noor-A-Rahim
Yong Liang Guan
Publication date
05-09-2017
Publisher
Springer US
Published in
Wireless Personal Communications / Issue 4/2017
Print ISSN: 0929-6212
Electronic ISSN: 1572-834X
DOI
https://doi.org/10.1007/s11277-017-4819-6

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