Nothing Special   »   [go: up one dir, main page]

Skip to main content
Log in

On Achievable Data Rates and Optimal Power Allocation in Fading Channels with Imperfect Channel State Information

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Achievable rates of wireless communication systems with pilot-based channel estimation are investigated for the case of time-selective fading. Novel analytical expressions for the maximum achievable rates of such systems are derived in terms of the system signal-to-noise ratio (SNR), fading rate and estimation scheme deployed. The frame size is optimized jointly based on the SNR and the fading rate. The maximum rate achieving coding scheme is suggested and shown to be a modified version of the classical water-filling algorithm that accounts for imperfect channel state information (CSI) at the transmitter. The impact of the estimation scheme and the angular spread of the received signal on the quality of estimation and achievable rates is evaluated. A number of numerical simulations are provided to illustrate the dependence of the optimal block length and achievable rates on SNR, fading rate, estimation scheme and angular spread of the channel.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cover T. and Thomas J. (2006). Elements of information theory (2nd ed). Wiley, New York

    MATH  Google Scholar 

  2. Goldsmith A. and Varaiya P.P. (1997). Capacity of fading channels with channel side information. IEEE Transactions on Information Theory 43(6): 1986–1992

    Article  MATH  MathSciNet  Google Scholar 

  3. Cavers J.K. (1991). An analysis of pilot symbol assisted modulation for Rayleigh fading channels. IEEE Transactions on Vehicular Technology 40(4): 686–693

    Article  Google Scholar 

  4. Zhang, X., & Ottersten, B. (2003). Performance analysis of V-BLAST structure with channel estimation errors. In IEEE Workshop on Signal Processing Advances in Wireless Communications, 2003, pp. 487–491.

  5. Cai X. and Giannakis G.B. (2005). Adaptive PSAM accounting for channel estimation and prediction errors. IEEE Transactions on Wireless Communcitaions 4(1): 246–256

    Article  Google Scholar 

  6. Øien G.E., Holm H. and Hole K.J. (2004). Impact of channel prediction on adaptive coded modulation performance in Rayleigh fading. IEEE Transactions on Vehicular Technology 53(3): 758–769

    Article  Google Scholar 

  7. Medard M. (2000). The effect upon channel capacity in wireless communications of perfect and imperfect knowledge of the channel. IEEE Transactions on Information Theory 46(3): 933–946

    Article  MATH  Google Scholar 

  8. Abou-Faycal I., Medard M. and Madhow U. (2005). Binary adaptive coded pilot symbol assisted modulation over Rayleigh fading channels without feedback. IEEE Transactions on Communications 53(6): 1036–1046

    Article  Google Scholar 

  9. Papoulis A. (2001). Probability, random variables and stochastic processes (4th ed). McGraw-Hill, Boston MA

    Google Scholar 

  10. Misra S., Swami A. and Tong L. (2006). Optimal training for time-selective wireless fading channels using cutoff rate. EURASIP Journal of Applied Signal Processing 2006: 1–15

    Article  Google Scholar 

  11. Yoo T. and Goldsmith A. (2006). Capacity and power allocation for fading MIMO channels with channel estimation error. IEEE Transactions on Information Theory 52(5): 2203–2214

    Article  MathSciNet  Google Scholar 

  12. van Trees H.L. (2001). Detection, estimation and modulation theory: Part I (1st ed). Wiley, New York

    Google Scholar 

  13. Hassibi B. and Hochwald B.M. (2003). How much training is needed in multiple-antenna wireless links?. IEEE Transactions on Information Theory 49(4): 951–963

    Article  MATH  Google Scholar 

  14. Proakis J.G. (2001). Digital communications (4th ed). McGraw-Hill, New York

    Google Scholar 

  15. Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions (10th ed.). Washington, D.C.: U.S. Dept. of Commerce: U.S. G.P.O.

  16. Loyka S. (2005). Multiantenna capacities of waveguide and cavity channels. IEEE Transactions on Vehicular Technology 54(3): 863–872

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Serguei Primak.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Almustafa, K., Primak, S., Willink, T. et al. On Achievable Data Rates and Optimal Power Allocation in Fading Channels with Imperfect Channel State Information. Wireless Pers Commun 50, 69–81 (2009). https://doi.org/10.1007/s11277-008-9542-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-008-9542-x

Keywords

Navigation