Journal of Communications and Networks

The Korean Institute of Commucations and Information Sciences (한국통신학회)
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Asymptotic Capacity Analysis in Multipoint-to-Point Cognitive Radio Networks with an Arbitrary Peak Power

  • Ji, Jianbo (Department of Electronic Engineering, Shanghai Jiao Tong University) ;
  • Chen, Wen (Department of Electronic Engineering, Shanghai Jiao Tong University) ;
  • Sun, Shanlin (Department of Electronic Engineering, Guilin University of Aerospace Technology)
  • Received : 2013.01.30
  • Accepted : 2013.06.17
  • Published : 2013.12.31
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Abstract

In this paper, we investigate the capacity of a multipoint-to-point cognitive radio network. In existing works, the asymptotic capacity is only obtained in the high peak power region at secondary transmitter (ST) or obtained without considering the interference from primary transmitter (PT) for easy analysis. Here, we analyze the asymptotic capacity by considering an arbitrary peak power at the ST and the interference from the PT based on extreme value theory. Simulation results show that our approximated capacity is well-matched to the exact capacity. Furthermore, the scaling law of our capacity is found to be double logarithm of the number of secondary users.

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References

  1. J. Mitola, "Cognitive radio: An integrated agent architecture for software defined radio," Ph. D. dissertation, KTH, Stockholm, Sweden, Dec. 2000.
  2. S. Haykin, "Cognitive radio: Brain-empowered wireless communications," IEEE J. Sel. Areas Commun., vol. 23, no. 2, pp. 201-220, Feb. 2005. https://doi.org/10.1109/JSAC.2004.839380
  3. S. Srinivasa and S. A. Jafar, "The throughtput potential of cognitive radio: A theoretical perspective," IEEE Commun. Mag., vol. 45, no. 5, pp. 73-79, May 2007. https://doi.org/10.1109/MCOM.2007.358852
  4. T. W. Ban, W. Choi, B. C. Jung, and D. K. Sung, "Multi-user diversity in a spectrum sharing system," IEEE Trans. Wireless Commun., vol. 8, no. 1, pp. 102-106, Jan. 2009. https://doi.org/10.1109/T-WC.2009.080326
  5. E. Nekouei, H. Inaltekin, and S. Dey, "Throughput scaling in cognitive multiple access with average power and interference constraints," IEEE Trans. Signal Process., vol. 60, no. 2, pp. 927-946, Feb. 2012. https://doi.org/10.1109/TSP.2011.2174054
  6. A. Ghasemi and E. S. Soua, "Fundamental limits of spectrum-sharing in fading environments," IEEE Trans. Wireless Commun., vol. 6, no. 2, pp. 649-658, Feb. 2007. https://doi.org/10.1109/TWC.2007.05447
  7. R. Zhang and Y. -C. Liang, "Investigation on multiuser diversity in spectrum sharing based cognitive radio networks," IEEE Commun. Lett., vol. 14, no. 2, pp. 133-135, Feb. 2010. https://doi.org/10.1109/LCOMM.2010.02.091649
  8. N. Jamal, H. E. Saffar, and P.Mitran, "Throughput enhancements in pointto- multipoint cognitive systems," in Proc. ISIT, June 2009, pp. 2742-2746.
  9. L. de. Haan and A. Ferreira, "Extreme Value Theory: An introduction.," Springer, 2006.
  10. M. Xia, Y. Zhou, J. Ha, and H. K. Chung, "Opportunistic beamforming communication with throughput analysis using asymptotic approach," IEEE Trans. Veh. Technol., vol. 58, no. 5, pp. 2608-2614, June 2009. https://doi.org/10.1109/TVT.2008.2009756
  11. G. Song and Y. Li, "Asymptotic throughput analysis for channel-aware scheduling," IEEE Trans. Commun., vol. 54, no 10, pp. 1827-1834, Oct. 2006. https://doi.org/10.1109/TCOMM.2006.881254
  12. GR. M. Corless et al., "On the Lambert W function," Adv. Computational Maths., no. 5, pp. 329-359, 1996, [Online]. Available: http: //www.apmaths.uwo.ca/djeffery/Offprints/W-adv-cm.ps. https://doi.org/10.1007/BF02124750
  13. H. Alzer, "On some inequalities for the incomplete gamma function," Mathematics of Computation, vol. 54, no. 218, pp. 771-778, Apr. 1997.