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Improved nonlinear multiuser precoding using lattice reduction

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Abstract

Recent theoretical results show that multiuser techniques such as Spatial Division Multiple Access can significantly improve system capacity. In order to achieve this end, lots of precoding methods have been proposed, among which Vector Perturbation precoding has the best Symbol Error Rate performance but with the hugest complexity in searching for the optimal perturbation vector. In this paper, we propose a low complexity, near optimal multiuser precoding method by utilizing lattice reduction of the channel matrix. The perturbation vector is composed of an integer part and a non-integer part, which are designed to simultaneously improve power efficiency and minimize the mean squared error MSE. The integer perturbation vector is calculated implicitly with modulo operation, and the non-integer perturbation can be solved in closed form under MSE minimization criterion. Simulation results demonstrate the effectiveness of the proposed methods.

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References

  1. Telatar, I.E.: Capacity of multi-antenna gaussian channels. Eur. Trans. Telecommun. 10(6), 585–595 (1999)

    Article  Google Scholar 

  2. Sharif, M., Hassibi, B.: On the capacity of MIMO broadcast channels with partial side information. IEEE Trans. Inf. Theory 51, 506–522 (2005)

    Article  MathSciNet  Google Scholar 

  3. Schubert, M., Boche, H.: Solution of the multiuser downlink beamforming problem with individual SINR constraints. IEEE Trans. Veh. Technol. 53(1), 18–28 (2004)

    Article  Google Scholar 

  4. Schubert, M., Boche, H.: Iterative multiuser uplink and downlink beamforming under SINR constraints. IEEE Trans. Sig. Process. 53(7), 2324–2334 (2005)

    Article  MathSciNet  Google Scholar 

  5. Tarighat, A., Sadek, M., Sayed, A.H.: A multi user beamforming scheme for downlink mimo channels based on maximizing signal-to-leakage ratios. In: Proceedings of the International Conference on Acoust., Speech, Signal Processing, pp. 1129–1132 (2005)

  6. Spencer, Q.H., Swindlehurst, A.L., Haardt, M.: Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels. IEEE Trans. Sig. Process. 52(2), 461–471 (2004)

    Article  MathSciNet  Google Scholar 

  7. Vishwanath, S., Jindal, N., Goldsmith, A.: Duality, achievable rates, and sum-rate capacity of gaussian MIMO broadcast channels. IEEE Trans. Inf. Theory 49(10), 2658–2669 (2003)

    Article  MathSciNet  Google Scholar 

  8. Fischer, R.F.H., Windpassinger, C., Lampe, A., Huber, J.B.: Space-time transmission using Tomlinson Harashima precoding. In: IEEE Proc. ITG (2002)

  9. Kusume, K., Joham, M., Utschick, W., Bauch, G.: Efficient Tomlinson–Harashima precoding for spatial multiplexing on flat MIMO channel. In: IEEE Proc. ICC, vol. 3, pp. 2021–2025, Seoul (2005)

  10. Windpassinger, C., Fischer, R.F.H., Vencel, T., Huber, J.B.: Precoding in multiantenna and multiuser communications. IEEE Trans. Wirelesss Commun. 3(4), 1305–1316 (2004)

    Article  Google Scholar 

  11. Hochwald, B.M., Peel, C.B., Swindlhurst, A.L.: A vector- perturbation technique for near-capacity multi-antenna multi-user communication—Part II: Perturbation. IEEE Trans. Commun. 53(3), 537–544 (2005)

    Article  Google Scholar 

  12. Wubben, D., Bohnke, R., Kuhn, V., Kammeyer, K.D.: Near- maximum-likelihood detection of MIMO systems using MMSE-based lattice-reduction. In: IEEE Proc. ICC, pp. 798–802, Paris (2004)

  13. Taherzadeh, M., Mobasher, A., Khandani, A.K.: Communication over MIMO broadcast channels using lattice-basis reduction. IEEE Trans. Inf. Theory (submitted)

  14. Windpassinger, C., Fischer, R.F.H., Huber, J.B.: Lattice-reduction-aided broadcast precoding. IEEE Trans. Commun. 52(12), 2057–2060 (2004)

    Article  Google Scholar 

  15. Zhang, J.Z., Kim, K.J.: Near-capacity MIMO multiuser precoding with QRD-M algorithm. In: IEEE Proc. ACSSC pp. 1498–1502 (2005)

  16. Peel, C.B., Hochwald, B.M., Swindlhurst, A.L.: A vector-perturbation technique for near-capacity multi-antenna multi-user communication—Part I: Channel inversion and regularization. IEEE Trans. Commun. 53(1), 195–202 (2005)

    Article  Google Scholar 

  17. Lenstra, A.L., Lenstra, H.W., Lovasz, L.: Factoring polynomials with rational coefficients. In: Mathematische Annalen 261, 515–534 (1982)

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Information Science and Engineering, Southeast University, Nanjing, 210096, China

    Daofeng Xu, Yongming Huang & Luxi Yang

  2. The 28th Research Institute of CETC, Nanjing, 210007, China

    Daofeng Xu, Yongming Huang & Luxi Yang

Authors
  1. Daofeng Xu
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  2. Yongming Huang
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  3. Luxi Yang
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Corresponding author

Correspondence to Daofeng Xu.

Additional information

This work was supported by National Basic Research Program of China (2007CB310603), National Natural Science Foundation of China (60496310, 60672093), High Technology Project of China (2007AA01Z262) and Huawei Foudation.

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Xu, D., Huang, Y. & Yang, L. Improved nonlinear multiuser precoding using lattice reduction. SIViP 3, 47–52 (2009). https://doi.org/10.1007/s11760-008-0058-3

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  • DOI: https://doi.org/10.1007/s11760-008-0058-3

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