Performance analysis of opportunistic beamforming system under non-identical imperfect channel environment

Performance analysis of opportunistic beamforming system under non-identical imperfect channel environment

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In this study, the authors study the effect of non-identical channel estimation error and feedback delay on the performance of an opportunistic beamforming system. This study derives the exact system performance (i.e. outage probability, symbol-error rate (SER), and ergodic capacity) of the proposed system using moment generating function in an imperfect channel environment. This study also uses an asymptotic analysis to quantify the diversity order of SER and outage probability to analyse which system variables affect system performance. From the results of an asymptotic analysis, it is shown that by channel estimation error and feedback delay, spatial diversity is eliminated, but the benefits of multiuser diversity still exist. Therefore, the diversity order of the SER and the outage probability of the proposed system are proportional to the number of user terminals, but the conventional system is limited to 1 by channel estimation error and feedback delay.


    1. 1)
      • 1. Love, D.J., Heath, R.W., Strohmer, T.: ‘Grassmannian beamforming for multiple-input multiple-output wireless systems’, IEEE Trans. Inf. Theory, 2003, 49, (10), pp. 27352747.
    2. 2)
      • 2. Winters, J.H.: ‘The diversity gain of transmit diversity in wireless systems with Rayleigh fading’, IEEE Trans. Veh. Technol., 1998, 47, (1), pp. 119123.
    3. 3)
      • 3. Grant, A.J.: ‘Performance analysis of transmit beamforming’, IEEE Trans. Commun., 2005, 53, (4), pp. 738744.
    4. 4)
      • 4. Maaref, A., Aissa, S.: ‘Closed-form expressions for the outage and ergodic Shannon capacity of MIMO MRC systems’, IEEE Trans. Commun., 2005, 56, (7), pp. 10921095.
    5. 5)
      • 5. Huang, K., Andrews, J.G., Heath, R.W.: ‘Performance of orthogonal beamforming for SDMA with limited feedback’, IEEE Trans. Veh. Technol., 2009, 58, (1), pp. 152164.
    6. 6)
      • 6. Au, E., Jin, S., Mckay, M., et al: ‘Analytical performance of MIMO–SVD systems in Ricean fading channels with channel estimation error and feedback delay’, IEEE Trans. Wirel. Commun., 2008, 7, (4), pp. 13151325.
    7. 7)
      • 7. Ma, Y., Zhang, D., Leith, A., et al: ‘Error performance of transmit beamforming with delayed and limited feedback’, IEEE Trans. Wirel. Commun., 2009, 8, (3), pp. 11641170.
    8. 8)
      • 8. Lee, D., Jeong, B.J.: ‘Symbol error rate analysis of transmit beamforming systems under delayed and limited feedback’, Electron. Lett., 2014, 50, (4), pp. 321323.
    9. 9)
      • 9. Firag, A., Smith, P.J., Suraweera, H.A., et al: ‘Performance of beamforming in correlated MISO systems with estimation error and feedback delay’, IEEE Trans. Wirel. Commun., 2011, 10, (8), pp. 25922602.
    10. 10)
      • 10. Li, M., Lin, M., Zhu, W., et al: ‘Performance analysis of MIMO MRC systems with feedback delay and channel estimation error’, IEEE Trans. Veh., 2016, 65, (2), pp. 707717.
    11. 11)
      • 11. Spencer, Q.H., Peel, C.B, Swindlehurst, A.L., et al: ‘An introductin to the multi-user MIMO downlink’, IEEE Commun. Mag., 2004, 42, (10), pp. 6067.
    12. 12)
      • 12. Gozali, R., Buehrer, R.M., Woerner, B.D.: ‘The impact of multiuser diversity on space-time block coding’, IEEE Commun. Lett., 2003, 7, (5), pp. 213215.
    13. 13)
      • 13. Viswanath, P., Tse, D.N.C., Laroia, R.: ‘Opportunistic beamforming using dumb antennas’, IEEE Trans, Inf. Theory, 2002, 48, pp. 12771294.
    14. 14)
      • 14. Jin, S., Mckay, M., Gao, X., et al: ‘Asymptotic SER and outage probability of MIMO MRC in correlated fading’, IEEE Signal Process. Lett., 2007, 14, (1), pp. 912.
    15. 15)
      • 15. Dighe, P., Mallik, R., Jamuar, S.: ‘Analysis of transmit-receive diversity in Rayleigh fading’, IEEE Trans. Commun., 2003, 51, (4), pp. 694703.
    16. 16)
      • 16. Balakrishman, N., Cohen, A.: ‘Order statistics and inference, estimation methods’ (Academic Press Inc., San Diego, 1991).
    17. 17)
      • 17. Turkyilmazx, K.: ‘Order statistics in outlier models’. MS thesis, izmir University of Economics, June 2009.
    18. 18)
      • 18. Simon, M.K., Alouini, M.-S.: ‘Digital communication over fading channels’ (John Wiley and Sons, New York, 2005, 2nd edn.).
    19. 19)
      • 19. Gradshteyn, I.S., Ryzhik, I.M.: ‘Table of integrals, series, and products’ (Academic Press Inc., San Diego, 2007, 7th edn.).
    20. 20)
      • 20. Erdelyi, A.: ‘Higher transcendental functions’ (McGraw-Hill, New York, 1953).
    21. 21)
      • 21. Wang, Z., Giannakis, G.B.: ‘A simple and general parameterization quantifying performance in fading channels’, IEEE Trans. Commun., 2003, 51, (8), pp. 13891398.
    22. 22)
      • 22. Gunther, C.: ‘Comment on estimate of channel capacity in Rayleigh fading environment’, IEEE Trans. Veh. Tech., 1996, 45, (2), pp. 401403.

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