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Capacity Region of the Two-Way Multi-antenna Relay Channel with Analog Tx-Rx Beamforming

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Mobile Lightweight Wireless Systems (Mobilight 2011)

Abstract

In this paper we study the multiple-input multiple-output two-way relay channel (MIMO-TWRC) when the nodes use analog beamforming. Following the amplify-and-forward (AF) strategy, the problem consists of finding the transmit and receive beamformers of the nodes and the relay, and the power allocated to each one, that achieve the boundary of the capacity region. We express the optimal node beamformers in terms of the relay beamformers, and show that the capacity region can be efficiently characterized using convex optimization techniques. Numerical examples are provided to illustrate the results of this paper, and to compare the capacity region achieved by analog beamforming against the conventional MIMO schemes that operate at the baseband.

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References

  1. Eickhoff, R., Kraemer, R., Santamaría, I., González, L.: Developing energy-efficient MIMO radios. IEEE Vehicular Technology Magazine 4(1), 34–41 (2009)

    Article  Google Scholar 

  2. Vía, J., Elvira, V., Santamaría, I., Eickhoff, R.: Analog antenna combining for maximum capacity under OFDM transmissions. In: Proceedings of the 2009 IEEE International Conference on Communications, Dresden, Germany, pp. 3129–3133 (2009)

    Google Scholar 

  3. Vía, J., Santamaría, I., Elvira, V., Eickhoff, R.: A general criterion for analog Tx-Rx beamforming under OFDM transmissions. IEEE Transactions on Signal Processing 58(4), 2155–2167 (2010)

    Article  MathSciNet  Google Scholar 

  4. Vía, J., Elvira, V., Santamaría, I., Eickhoff, R.: Minimum BER beamforming in the RF domain for OFDM transmissions and linear receivers. In: IEEE International Conference on Acoustics Speech and Signal Processing (ICASSP 2009), Taipei, Taiwan (March 2009)

    Google Scholar 

  5. Santamaría, I., Vía, J., Nazábal, A., Lameiro, C.: Capacity region of the multiantenna gaussian broadcast channel with analog Tx-Rx beamforming. In: 5th International ICST Conference on Communications and Networking in China (CHINACOM), Beijing, China (August 2010)

    Google Scholar 

  6. Zhang, R., Liang, Y.-C., Chai, C.C., Cui, S.: Optimal beamforming for two-way multi-antenna relay channel with analogue network coding. IEEE Journal on Selected Areas in Communications 27(5), 699–712 (2009)

    Article  Google Scholar 

  7. Wang, X., Zhang, X.-D.: Optimal beamforming in MIMO two-way relay channels. In: IEEE Global Communications Conference (GLOBECOM 2010), Miami, FL, USA (December 2010)

    Google Scholar 

  8. Wyrembelski, R.F., Oechtering, T.J., Boche, H.: MIMO bidirectional broadcast channels with common message. In: IEEE Global Communications Conference (GLOBECOM 2010), Miami, FL, USA (December 2010)

    Google Scholar 

  9. Oechtering, T., Wyrembelski, R., Boche, H.: Multiantenna bidirectional broadcast channels - optimal transmit strategies. IEEE Transactions on Signal Processing 57(5), 1948–1958 (2009)

    Article  MathSciNet  Google Scholar 

  10. Tse, D., Viswanath, P.: Fundamentals of Wireless Communications. Cambridge University Press (2004)

    Google Scholar 

  11. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press (2004)

    Google Scholar 

  12. Mohseni, M., Zhang, R., Cioffi, J.: Optimized transmission for fading multiple-access and broadcast channels with multiple antennas. IEEE Journal on Selected Areas in Communications 24(8), 1627–1639 (2006)

    Article  Google Scholar 

  13. Huang, Y., Zhang, S.: Complex matrix decomposition and quadratic programming. Math. Oper. Res. 32, 758–768 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  14. Palomar, D., Eldar, Y.: Convex Optimization in Signal Processing and Communications. Cambridge University Press (2010)

    Google Scholar 

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© 2012 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Lameiro, C., Nazábal, A., Gholam, F., Vía, J., Santamaría, I. (2012). Capacity Region of the Two-Way Multi-antenna Relay Channel with Analog Tx-Rx Beamforming. In: Del Ser, J., et al. Mobile Lightweight Wireless Systems. Mobilight 2011. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29479-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-29479-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29478-5

  • Online ISBN: 978-3-642-29479-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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