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Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Regularized Zero-Forcing Beam Design under Time-Varying Channels

  • Yu, Heejung (Department of Information and Communication Engineering, Yeungnam University) ;
  • Kim, Taejoon (School of Information and Communication Engineering, Chungbuk National University)
  • Received : 2015.08.20
  • Accepted : 2016.01.25
  • Published : 2016.06.01
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Abstract

In this paper, an efficient beam tracking algorithm for a regularized zero-forcing (RZF) approach in slowly fading multiple-input and single-output (MISO) broadcast channels is considered. By modifying an RZF equation, an RZF beam tracking algorithm is proposed using matrix perturbation theory. The proposed algorithm utilizes both beams from the previous time step and channel difference (between the previous and current time steps) to calculate the RZF beams. The tracking performance of the proposed algorithm is analyzed in terms of the mean square error (MSE) between a tracking approach and an exact recomputing approach, and in terms of the additional MSE caused by the beam tracking error at the receiver. Numerical results show that the proposed algorithm has almost the same performance as the exact recomputing approach in terms of the sum rate.

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References

  1. Q.H. Spencer, A.L. Swindlehurst, and M. Haardt, "Zero-Forcing Methods for Downlink Spatial Multiplexing in Multi-user MIMO Channels," IEEE Trans. Signal Process., vol. 52, no. 2, Feb. 2004, pp. 461-471. https://doi.org/10.1109/TSP.2003.821107
  2. O. Somekh et al., "Cooperative Multicell Zero-Forcing Beamforming in Cellular Downlink Channels," IEEE Trans. Inf. Theory, vol. 55, no. 7, July 2009, pp. 3206-3219. https://doi.org/10.1109/TIT.2009.2021371
  3. C.B. Peel, B.M. Hochwald, and A.L. Swindlehurst, "Vector-Perturbation Technique for Near-Capacity Multiantenna Multiuser Communication-Part I: Channel Inversion and regularization," IEEE Trans. Commun., vol. 53, no. 1, Jan. 2005, pp. 195-202. https://doi.org/10.1109/TCOMM.2004.840638
  4. H. Sung, S.R. Lee, and I. Lee, "Generalized Channel Inversion Methods for Multiuser MIMO Systems," IEEE Trans. Commun., vol. 57, no. 11, Nov. 2009, pp. 3489-3499. https://doi.org/10.1109/TCOMM.2009.11.070404
  5. Z. Wang and W. Chen, "Regularized Zero-Forcing for Multiantenna Broadcast Channels with User Selection," IEEE Wireless Commun. Lett., vol. 1, no. 2, Apr. 2012, pp. 129-132. https://doi.org/10.1109/WCL.2012.022012.110206
  6. M. Sadek, A. Tarighat, and A. Sayed, "A Leakage-Based Precoding Scheme for Downlink Multi-user MIMO Channels," IEEE Trans. Wireless Commun., vol. 6, no. 5, May 2007, pp. 1711-1721. https://doi.org/10.1109/TWC.2007.360373
  7. H. Kim et al., "An Efficient Algorithm for Zero-Forcing Coordinated Beamforming," IEEE Commun. Lett., vol. 16, no. 7, July 2012, pp. 994-997. https://doi.org/10.1109/LCOMM.2012.050412.112565
  8. H. Yu and S. Lee, "Beamforming for Downlink Multiuser MIMO Time-Varying Channels Based on Generalized Eigenvector Perturbation," ETRI J., vol. 34, no. 6, Dec. 2012, pp. 869-878. https://doi.org/10.4218/etrij.12.1812.0090
  9. K.E. Avrachenkov and M. Haviv, "Perturbation of Null Spaces with Application to the Eigenvlaue Problem and Generalized Inverses," Linear Algebra its Appl., vol. 369, Aug. 2003, pp. 1-25. https://doi.org/10.1016/S0024-3795(02)00729-2
  10. H. Yu et al., "Beam Tracking for Interference Alignment in Slowly Fading MIMO Interference Channels: A Perturbations Approach Under a Linear Framework," IEEE Trans. Signal Process., vol. 60, no. 4, Apr. 2012, pp. 1910-1926. https://doi.org/10.1109/TSP.2011.2181502