Tight Lower Bound of Optimal Non-Coherent Detection for FSK Modulated AF Cooperative Communications in Rayleigh Fading Channels

  • Tian, Jian (Center for Integrated Electronics, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences and The Chinese University of Hong Kong) ;
  • Zhang, Qi (Center for Integrated Electronics, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences and The Chinese University of Hong Kong) ;
  • Yu, Fengqi (Center for Integrated Electronics, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences and The Chinese University of Hong Kong)
  • Received : 2010.12.09
  • Accepted : 2011.07.22
  • Published : 2011.08.31

Abstract

When wireless channels undergo fast fading, non-coherent frequency shift keying (FSK) (de)modulation schemes may be considered for amplify-and-forward (AF) cooperative communications. In this paper, we derive the bit-error-rate performance of partial non-coherent receiver as a lower bound of the optimal non-coherent receiver for FSK modulated AF cooperative communications. From the simulation and analytical results, it is found that the derived lower bound is very closed to simulation results. This result shows that knowing partial channel state information may not improve system performance significantly. On the other hand, conventional optimal non-coherent receiver involves complicated integration operation. To address the above complexity issue, we also propose a near optimal non-coherent receiver which does not involve integration operation. Simulation results have shown that the performance gap between the proposed near optimal receiver and the optimal receiver is small.

Keywords

Acknowledgement

Supported by : National S&T

References

  1. K. Son, S. Lee, Y. Yi, and S. Chong, "REFIM: A practical interference management in heterogeneous wireless access networks," IEEE J. Sel. Areas Commun., vol. 29, no. 6, pp. 1260-1272, June 2011. https://doi.org/10.1109/JSAC.2011.110613
  2. Y. Murata, M. Hasegawa, H. Murakami, H. Harada, and S. Kato, "The architecture and a business model for the open heterogeneous mobile network," IEEE Commun. Mag., vol. 47, no. 5, pp. 95-101. May 2009. https://doi.org/10.1109/MCOM.2009.4939283
  3. J. Buhler and G. Wunder, "Traffic-aware optimization of heterogeneous access management," IEEE Trans. Commun., vol. 58, no. 6, pp. 1737-1747, June 2010. https://doi.org/10.1109/TCOMM.2010.06.090182
  4. X. Xie, B. Rong, T. Zhang, and W. Lei, "Improving physical layer multicast by cooperative communications in heterogeneous networks," IEEE Wireless Commun., vol. 18, no. 3, pp. 58-63, June 2011.
  5. J. N. Laneman and G. W. Wornell, "Distributed space-time-coded protocols for exploiting cooperative diversity in wireless networks," IEEE Trans. Inf. Theory, vol. 49, no. 10, pp. 2415-2425, Oct. 2003. https://doi.org/10.1109/TIT.2003.817829
  6. J. N. Laneman. D. N. C. Tse, and G. W. Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, no. 12, pp. 3062-3080, Dec. 2004. https://doi.org/10.1109/TIT.2004.838089
  7. A. E. Gamal and S. Zahedi, "Capacity of a class of relay channels with orthogonal components", IEEE Trans. Inf. Theory, vol. 51, no. 5, pp. 1815-1817, May 2005. https://doi.org/10.1109/TIT.2005.846438
  8. D. Chen and J. N. Laneman, "Modulation and demodulation for cooperative diversity in wireless systems," IEEE Trans. Wireless. Commun., vol. 5, no. 7, pp. 1785-1794, July 2006. https://doi.org/10.1109/TWC.2006.1673090
  9. P. A. Anghel and M. Kaveh, "Exact error probabilities of a cooperative network in Rayleigh-fading environment," IEEE Trans. Wireless Commun., vol. 3, no. 5, pp. 1416-1421, Sept. 2004. https://doi.org/10.1109/TWC.2004.833431
  10. D. Chen and J. N. Laneman, "Cooperative diversity for wireless fading channels without channel state information," in Proc. Asilomar, vol. 2, 2004, pp.1307-1312.
  11. R. Annavajjala, P. C. Cosman, and L. B. Milstein, "On the performance of optimum noncoherent amplify-and-forward reception for cooperative diversity," in Proc. IEEE MILCOM, Atlantic City, USA, Oct. 2005, pp. 3280-3288.
  12. Y. Zhu, P.-Y. Kam, and Y. Xin, "Non-coherent detection for amplify-and-forward relay systems in a Rayleigh fading environment," in Proc. IEEE GLOBECOM, Washington, USA, Nov. 2007, pp. 1658-1662.
  13. Q. Zhao and H. Li, "Performance of differential modulation with wireless relays in Rayleigh fading channels," IEEE Commun. Lett., vol. 9, no. 4, pp. 343-345, Apr. 2005. https://doi.org/10.1109/LCOMM.2005.1413628
  14. T. Himsoon, W. Su, and K. J. R. Liu, "Differential transmission for ampliy-and-forward cooperative communications," IEEE Signal Process. Lett., vol. 12, no. 9, pp. 597-600, Sept. 2005. https://doi.org/10.1109/LSP.2005.853067
  15. S. Ikki and M. Ahmed, "Performance analysis of cooperative diversity using equal gain combining (EGC) technique over rayleigh fading channels," in Proc. IEEE ICC, Glasgow, Germany, June 2007, pp. 5336-5341.
  16. M. K. Simon and M. S. Alouini, Digital Communication over Fading Channels, 2nd. ed., New York: Wiley, 2004.
  17. M. K. Simon, Probability Distribution Involving Gaussian Random Variables: A Handbook for Engineers and Scientists. Springer, 2006.
  18. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, San Diego, CA: Academic Press, 7th ed., 1994.