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Performance Evaluation of Generalized Selection Combiners Over Slow Fading with Estimation Errors

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Abstract

In this paper we derive closed-form expressions for the single-user adaptive capacity of generalized selection combining (GSC) system, taking into account the effect of imperfect channel estimation at the receiver. The channel considered is a slowly varying spatially independent flat Rayleigh fading channel. The complex channel estimate and the actual channel are modelled as jointly Gaussian random variables with a correlation that depends on the estimation quality. Three adaptive transmission schemes are analyzed: (1) optimal power and rate adaptation; and (2) constant power with optimal rate adaptation, and (3) channel inversion with fixed rate. In addition to deriving an exact expression for the capacity of the aforementioned adaptive schemes, we analyze the impact of channel estimation error on the capacity statistics and the symbol error rate for GSC systems. The capacity statistics derived in this paper are the moment generating function, complementary cumulative distribution function and probability density function for arbitrary number of receive antennas. Moreover, exact closed-form expressions for M-PAM/PSK/QAM employing GSC are derived. As expected, the channel estimation error has a significant impact on the system performance.

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Authors and Affiliations

  1. School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC, 3000, Australia

    Fawaz S. Al-Qahtani, Arun K. Gurung & Zahir M. Hussain

  2. Electrical Engineering Department, KFUPM, Dhahran, 31261, Saudi Arabia

    Salam A. Zummo

  3. Future Fibre Technologies Pty Ltd., 10 Hartnett Close, Mulgrave, VIC, 3170, Australia

    Seedahmed S. Mahmoud

Authors
  1. Fawaz S. Al-Qahtani
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  2. Arun K. Gurung
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  3. Salam A. Zummo
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  4. Seedahmed S. Mahmoud
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  5. Zahir M. Hussain
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Corresponding author

Correspondence to Fawaz S. Al-Qahtani.

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Al-Qahtani, F.S., Gurung, A.K., Zummo, S.A. et al. Performance Evaluation of Generalized Selection Combiners Over Slow Fading with Estimation Errors. Wireless Pers Commun 56, 207–236 (2011). https://doi.org/10.1007/s11277-009-9829-6

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  • DOI: https://doi.org/10.1007/s11277-009-9829-6

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