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Performance of the Zero Forcing precoding MIMO broadcast systems with channel estimation errors

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Journal of Electronics (China)

Abstract

In this paper, the effect of channel estimation errors upon the Zero Forcing (ZF) precoding Multiple Input Multiple Output Broadcast (MIMO BC) systems was studied. Based on the two kinds of Gaussian estimation error models, the performance analysis is conducted under different power allocation strategies. Analysis and simulation show that if the covariance of channel estimation errors is independent of the received Signal to Noise Ratio (SNR), imperfect channel knowledge deteriorates the sum capacity and the Bit Error Rate (BER) performance severely. However, under the situation of orthogonal training and the Minimum Mean Square Error (MMSE) channel estimation, the sum capacity and BER performance are consistent with those of the perfect Channel State Information (CSI) with only a performance degradation.

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References

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

    Article  Google Scholar 

  2. Q. H. Spencer, C. B. Peel, A. L. Swindlehurst, M. Haardt. An introduction to the multi-user MIMO downlink. IEEE Communications Magazine, 42(2004)10, 60–67.

    Article  Google Scholar 

  3. L. U. Choi, R. D. Murch. A transmit preprocessing technique for multiuser MIMO systems using a decomposition approach. IEEE Trans. on Wireless Commun., 3(2004)1, 20–24.

    Article  Google Scholar 

  4. K.K. Wong, R. Murch, K. B. Letaief. A joint-channel diagonalization for multiuser MIMO antenna systems. IEEE Trans. on Wireless Commun., 2(2003)4, 773–786.

    Article  Google Scholar 

  5. T. Yoo, A. Goldsmith. Capacity of fading MIMO channels with channel estimation error. In Proc. IEEE Int. Commun. Conf. (ICC), Paris, France, Jun. 2004, vol.2, 808–813.

  6. D. Samardzija, D. Chizhik, N. Mandayam. Downlink multiple antenna transmitter optimization on spatially and temporally correlated channels with delayed channel state information. In Proc. Conference on Information Sciences and Systems (CISS’04), Princeton University, Princeton, NJ, USA, March 2004, 1219–1224.

    Google Scholar 

  7. G. Primolevo, O. Simeone, U. Spagnolini. Effects of imperfect channel state information on the capacity of broadcast OSDMA-MIMO systems. IEEE 5th Workshop on Signal Processing Advances in Wireless Communications (SPAWC), Lisboa, Portugal, July 11–14, 2004, 546–550

  8. P. L. Ding, D. J. Love, M. D. Zoltowski. On the sum rate of multi-antenna broadcast channels with channel estimation error. In Proc. 39th Asilomar Conf. on Signals, Systems, and Computers, Pacific Grove, CA, USA, Oct. 28–Nov. 1, 2005, 1524–1528.

  9. A. A. Basri, T. J. Lim. Output SIR distribution of optimum combining in Rayleigh fading channels with channel estimation errors. In Proc. IEEE Int. Conf. on Wireless and Mobile Computing, Networking and Commun. (WiMob), Montreal, Canda, Aug. 22–24, 2005, vol.1, 15–22.

  10. T. M. Cover, J. A. Thomas. Elements of Information Theory. New York, John Wiley and Sons Inc, 1991, 25.

    MATH  Google Scholar 

  11. N. Jindal. MIMO broadcast channels with finite rate feedback. In Proc. IEEE Global Commun. Conf. (GLOBECOM), St. Louis, USA, Nov. 28–Dec. 2, 2005, vol.3, No.5, 1520–1524.

  12. G. J. Proakis. Digital Communications. 4th ed. New York, McGraw Hill, 2001, 256.

    Google Scholar 

  13. D. G. Gore, R. W. Heath, Jr., A. Paulraj. On performance of the zero forcing receiver in presence of transmit correlation. In Proc. IEEE Int. Symp. on Info. Theo. (ISIT), Lausanne, Switzerland, June 30–July 5, 2002, 159.

  14. R. J. Muirhead. Aspects of Multivariate Statistical Theory. New York, John Wiley and Sons Inc., 1982, 92.

    MATH  Google Scholar 

  15. I. S. Gradshteyn, I. M. Ryzhik. Table of Integral, Series, and Products. 6th ed. Academic Press, 2000, 816.

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Supported in part by the National Natural Science Foundation of China (No.60496311).

Communication author: Wang Jing, born in 1977, female, Ph.D. candidate. National Mobile Communications Research Lab, Southeast University, Nanjing 210096, China.

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Wang, J., Liu, Z., Wang, Y. et al. Performance of the Zero Forcing precoding MIMO broadcast systems with channel estimation errors. J. of Electron.(China) 24, 490–495 (2007). https://doi.org/10.1007/s11767-006-0070-0

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  • DOI: https://doi.org/10.1007/s11767-006-0070-0

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