Skip to main content
Log in

Capacity Analysis of Opportunistic Cooperative Networks under Adaptive Transmission over Rayleigh Fading Channels

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this paper, opportunistic cooperative amplify-and-forward networks in conjunction with three different adaptive policies, namely optimal simultaneous power and rate adaptation (OPRA), constant power with optimal rate adaptation (OPA) and truncated channel inversion with fixed rate (TIFR), are investigated and compared in terms of Rayleigh channel capacity where the source adapts its rate and/or power level according to channel conditions while the best relay simply amplifies and then forwards the received signals. Furthermore, the effect of diversity combining on the network is studied by investigating two cases of maximal ratio combining (MRC) and selection combining (SC) equipped at the destination. To this end, the mathematically tractable form of the upper and lower bound of the end-to-end effective signal-to-noise ratio (SNR) is provided and then used to derive the closed-form expression of the Shannon capacity. Our results are verified through comparison with Monte Carlo simulations in some representative scenarios where we also illustrate that, among them, for an arbitrary number of cooperative relays, OPRA slightly outperforms ORA, which, in turn, outperforms TIFR.

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

Access this article

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. Nosratinia A., Hunter T. E., Hedayat A. (2004) Cooperative communication in wireless networks. IEEE Communications Magazine 42: 74–80

    Article  Google Scholar 

  2. Laneman J. N., Tse D. N. C., Wornell G. W. (2004) Cooperative diversity in wireless networks: Efficient protocols and outage behavior. IEEE Transactions on Information Theory 50: 3062–3080

    Article  MathSciNet  Google Scholar 

  3. Scutari G., Barbarossa S. (2005) Distributed space-time coding for regenerative relay networks. IEEE Transactions on Wireless Communications 4: 2387–2399

    Article  Google Scholar 

  4. Laneman, J. N., & Wornell, G. W. (2002). Distributed space-time coded protocols for exploiting cooperative diversity in wireless networks. In Proceedings IEEE GLOBECOM ’02 (pp. 77–81)

  5. Beaulieu N. C., Hu J. (2006) A closed-form expression for the outage probability of decode-and-forward relaying in dissimilar rayleigh fading channels. IEEE Communications Letters 10: 813–815

    Article  Google Scholar 

  6. Lee I. H., Kim D. (2007) BER analysis for decode-and-forward relaying in dissimilar rayleigh fading channels. IEEE Communications Letters 11: 52–54

    Article  Google Scholar 

  7. Jung Y. S., Lee J. H. (2006) A new participation strategy for cooperative diversity with multiple partners. IEICE Trans. Commun. E89-B: 3152–3155

    Article  Google Scholar 

  8. Boyer J., Falconer D. D., Yanikomeroglu H. (2004) Multihop diversity in wireless relaying channels. IEEE Transactions on Communications 52: 1820–1830

    Article  Google Scholar 

  9. Duong T. Q., Bao V. N. Q. (2008) Performance analysis of selection decode-and-forward relay networks. IET Electronics Letters 44: 1206–1207

    Article  Google Scholar 

  10. Bletsas A., Khisti A., Reed D. P., Lippman A. (2006) A simple cooperative diversity method based on network path selection. IEEE Journal on Select Areas in Communications 24: 659–672

    Article  Google Scholar 

  11. Bletsas A., Shin H., Win M. Z. (2007) Cooperative communications with outage-optimal opportunistic relaying. IEEE Transactions on Wireless Communications 6: 3450–3460

    Article  Google Scholar 

  12. Beres E., Adve R. (2008) Selection cooperation in multi-source cooperative networks. IEEE Transactions on Wireless Communications 7: 118–127

    Article  Google Scholar 

  13. Weifeng, S., Sadek, A. K., & Liu, K. J. R. (2005). SER performance analysis and optimum power allocation for decode-and-forward cooperation protocol in wireless networks. In Proceeding of Wireless Communications and Networking Conference, 2005 IEEE (pp. 984–989.)

  14. Mesbah, W., & Davidson, T. N. (2008). Power and resource allocation for orthogonal multiple access relay systems. EURASIP Journal on Advances in Signal Processing, 2008, 1–15.

  15. Gunduz D., Erkip E. (2007) Opportunistic cooperation by dynamic resource allocation. IEEE Transactions on Wireless Communications 6: 1446–1454

    Article  Google Scholar 

  16. Host-Madsen A., Zhang J. (2005) Capacity bounds and power allocation for wireless relay channels. IEEE Transactions on Information Theory 51: 2020–2040

    Article  MathSciNet  Google Scholar 

  17. Phan K. T., Le-Ngoc T., Vorobyov S. A., Tellambura C. (2009) Power allocation in wireless multi-user relay networks. IEEE Transactions on Wireless Communications 8: 2535–2545

    Article  Google Scholar 

  18. Goldsmith A. J., Soon-Ghee C. (1997) Variable-rate variable-power MQAM for fading channels. IEEE Transactions on Communications 45: 1218–1230

    Article  Google Scholar 

  19. Alouini M.-S., Goldsmith A. J. (2000) Adaptive modulation over Nakagami fading channels. Wireless Personal Communications 13: 119–143

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  21. Alouini M. S., Goldsmith A. J. (1999) Capacity of rayleigh fading channels under different adaptive transmission and diversity-combining techniques. IEEE Transactions on Vehicular Technology 48: 1165–1181

    Article  Google Scholar 

  22. Webb W. T., Steele R. (1995) Variable rate QAM for mobile radio. IEEE Transactions on Communications 43: 2223–2230

    Article  Google Scholar 

  23. Hasna, M. O. (2005). On the capacity of cooperative diversity systems with adaptive modulation. In Proceeding of Wireless and Optical Communications Networks, 2005. WOCN 2005. Second IFIP International Conference on, 2005 (pp. 432–436.)

  24. Nechiporenko, T., Phan, K. T., Tellambura, C., & Nguyen, H. H. (2008). Performance analysis of adaptive M-QAM for rayleigh fading cooperative systems. In Proceeding of IEEE International Conference on Communications ICC ’08 (pp. 3393–3399).

  25. Nechiporenko T., Kalansuriya P., Tellambura C. (2009) Performance of optimum switching adaptive M-QAM for amplify-and-forward relays. IEEE Transactions on Vehicular Technology 58: 2258–2268

    Article  Google Scholar 

  26. Kalansuriya, P., & Tellambura, C. (2009). Performance analysis of decode-and-forward relay network under adaptive M-QAM. In Proceeding of Communications, ICC ’09. IEEE International Conference on, Dresden.

  27. Hwang K.-S., Ko Y.-C., Alouini M.-S. (2009) Performance analysis of incremental opportunistic relaying over identically and non-identically distributed cooperative paths. IEEE Transactions on Wireless Communications 8: 1953–1961

    Article  Google Scholar 

  28. Nechiporenko T., Phan K. T., Tellambura C., Nguyen H. H. (2009) On the capacity of rayleigh fading cooperative systems under adaptive transmission. IEEE Transactions on Wireless Communications 8: 1626–1631

    Article  Google Scholar 

  29. Barua B., Ngo H. Q., Shin H. (2008) On the SEP of cooperative diversity with opportunistic relaying. IEEE Communications Letters 12: 727–729

    Article  Google Scholar 

  30. Anghel P. A., Kaveh M. (2004) Exact symbol error probability of a cooperative network in a rayleigh-fading environment. IEEE Transactions on Wireless Communications 3: 1416–1421

    Article  Google Scholar 

  31. Ikki S., Ahmed M. H. (2007) Performance analysis of cooperative diversity wireless networks over Nakagami-m fading channel. IEEE Communications Letters 11: 334–336

    Article  Google Scholar 

  32. Papoulis A., Pillai S. U. (2002) Probability, random variables, and stochastic processes (4th ed.). McGraw-Hill, Boston

    Google Scholar 

  33. Bao, V. N. Q., Kong, H. Y., & Hong, S. W. (2008). Performance analysis of M-PAM and M-QAM with selection combining in independent but non-identically distributed rayleigh fading paths. In Proceding of Vehicular Technology Conference, 2008. VTC 2008-Fall. IEEE 68th (pp. 1–5).

  34. Simon M. K., Alouini M.-S. (2005) Digital communication over fading channels (2nd ed.). Wiley, Hoboken, NJ

    Google Scholar 

  35. Roberts M. J. (2004) Signals and systems: analysis using transform methods and MATLAB (1st ed.). McGraw-Hill, Dubuque, IA

    Google Scholar 

  36. Kuhn V. (2006) Wireless communications over MIMO channels: applications to CDMA and multiple antenna systems. Wiley, Chichester, England

    Book  Google Scholar 

  37. Abramowitz, M., & Stegun, I. A. (1972). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Washington, DC: US Department of Commerce: US G.P.O., 1972, pp. xiv, 1046.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hyung Yun Kong.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kong, H.Y., Bao, V.N.Q. Capacity Analysis of Opportunistic Cooperative Networks under Adaptive Transmission over Rayleigh Fading Channels. Wireless Pers Commun 62, 411–430 (2012). https://doi.org/10.1007/s11277-010-0061-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-010-0061-1

Keywords

Navigation