On the Diversity-Multiplexing Tradeoff of Cooperative Multicast System with Wireless Network Coding

  • Li, Jun (Department of Electronic Engineering, Sahghai Jiao Tong University) ;
  • Chen, Wen (SKL for Mobile Communications, Southeast University)
  • 발행 : 2010.02.28

초록

Diversity-multiplexing tradeoff (DMT) is an efficient tool to measure the performance of multiple-input and multiple-output (MIMO) systems and cooperative systems. Recently, cooperative multicast system with wireless network coding stretched tremendous interesting due to that it can drastically enhance the throughput of the wireless networks. It is desirable to apply DMT to the performance analysis on the multicast system with wireless network coding. In this paper, DMT is performed at the three proposed wireless network coding protocols, i.e., non-regenerative network coding (NRNC), regenerative complex field network coding (RCNC) and regenerative Galois field network coding (RGNC). The DMT analysis shows that under the same system performance, i.e., the same diversity gain, all the three network coding protocols outperform the traditional transmission scheme without network coding in terms of multiplexing gain. Our DMT analysis also exhibits the trends of the three network coding protocols' performance when multiplexing gain is changing from the lower region to the higher region. Monte-Carlo simulations verify the prediction of DMT.

키워드

참고문헌

  1. R. Ahlswede, N. Cai, S.-Y. R. Li, and R. W. Yeung, "Network infomation flow," IEEE Trans. Inf Theory, vol. 46, no. 4, pp. 1204-1216, July 2000. https://doi.org/10.1109/18.850663
  2. S.-Y. R. Li, R. W. Yeung, and N. Cai, "Linear network coding," IEEE Trans. Inf. Theory, vol. 49, no. 2, pp. 371-381, Feb. 2003.
  3. R. Koetter and M. Medard, "An algebraic approach to network coding," IEEE/ACM Trans. Netw., vol. 11, no. 5, pp. 782-795, Oct. 2003. https://doi.org/10.1109/TNET.2003.818197
  4. T. Ho, M. Medard, R. Koetter, D. R. Karger, M. Effros, J, Shi, and B. Leong, "A random linear network coding approach to multicast," IEEE Trans, Inf. Theory, vol. 52, no. 10, pp. 4413-4430, Oct. 2006.
  5. T. Ho and D. S. Lun, Network Coding : An Introduction. Cambridge University Press, 2008.
  6. S. Zhang, S.-C. Liew, and P. P. Lam, "Hot topic: Physical-layer network coding," in Proc, MobiCom, Los Angeles, CA, Sept. 23-26, 2006, pp. 358-365.
  7. T. Wang and G. B. Giannakis, "High-throughput cooperative communications with complex field network coding," in Proc. CISS, Baltimore, MD, Mar. 14-16,2007, pp. 253-258.
  8. L. Xiao, T. E. Fuja, J, Kliewer, and D. J. Costello, "A network coding approach to cooperative diversity," IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3714-3722, Oct. 2007. https://doi.org/10.1109/TIT.2007.904990
  9. P. Popovski and H. Yomo, "Wireless network coding by amplify-andforward for bi-directional traffic flows," IEEE Commun. Lett., vol. 11, no. 1, pp. 16-18, Jan. 2007. https://doi.org/10.1109/LCOMM.2007.061436
  10. Y. Wu, P. A. Chou, and S. Kung, "Information exchange in wireless network with network coding and physical-layer broadcast," Microsof Reserach, Redmond, WA, Tech. Rep. MSR-TR-2004-78, Aug. 2004.
  11. J. Li and W. Chen, "Complex field network coding for wireless cooperative multicast flows," in Proc. GLOBECOM, Nov. 2008.
  12. J. Li and W. Chen, "Joint power allocation and precoding for network coding based cooperative multicast systems," IEEE Signal Process. Lett., vol. 15, pp. 817-820, Nov. 2008. https://doi.org/10.1109/LSP.2008.2006330
  13. J. Li and W. Chen, "Power allocation in the high SNR regime for a multicast cell with regenerative network coding," IEEE Commun. Lett., vol. 13, no. 4, pp. 271-273, Apr. 2009. https://doi.org/10.1109/LCOMM.2009.081694
  14. L. Zheng and D. N. C. Tse, "Diversity and multiplexing: A fundamental tradeoff in multiple antenna channels," IEEE Trans. Inf. Theory, vol. 49, no. 5, pp. 1073-1096, May 2003. https://doi.org/10.1109/TIT.2003.810646
  15. 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. 51, no. 12, pp. 3062-3080, Dec. 2004.
  16. R. U. Nabar, H. Bolcskei, and F. W. Kneubuhler, "Fading relay channels: Performance limits and space-time signal design," IEEE J. Sel. Areas Commun., vol. 22, no. 6, pp. 1099-1109, Aug. 2004. https://doi.org/10.1109/JSAC.2004.830922
  17. M. Janani, A. Hedayat, T. Hunter, and A. Nosratinia, "Coded cooperation in wireless communications: Space-tmie transmission and iterative decoding," IEEE Trans. Signal Process., vol. 52, no. 2, pp. 362-371, Feb. 2004. https://doi.org/10.1109/TSP.2003.821100
  18. G, Kramer, M. Gastpar, and P. Gupta, "Cooperative strategies and capacity theorems for relay networks," IEEE Trans. Inf. Theory, vol. 51, no. 9, pp. 3037-3063, Sept. 2005. https://doi.org/10.1109/TIT.2005.853304
  19. K. Azarian, H. El-Gamal, and P. Schniter, "On the achievable diversitymultiplexing tradeoff in half-duplexing cooperative channels," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4152-4172, Dec. 2005. https://doi.org/10.1109/TIT.2005.858920
  20. S. Yang and J.-c. Belfiore, "Towards the optimal amplify-and-forward cooperative diversity scheme," submitted to IEEE Trans. Inf. Theory, Mar. 2006.
  21. M. Yuksel and E. Erkip, "Multiple-antenna cooperative wireless systems: A diversity-multiplexing tradeoff perspective," IEEE Trans. Inf. Theory, vol. 53, no. 10, pp. 3371-3393, Oct. 2007. https://doi.org/10.1109/TIT.2007.904972
  22. H. P. F. Frank and D, K. Marcos, Cooperation in Wireless Networks: Principles and Applications, Netherlands: Springer, 2006.
  23. L. Ozarow, S. Shamai, and A. Wyner, "Information-theoretic considerations in cellular mobile radio," IEEE Trans. Veh. Technol., vol. 43, no. 3, pp. 359-378, May 1994. https://doi.org/10.1109/25.293655
  24. I. E. Telatar, "Capacity of multi-antenna Gaussian channels," Europ. Trans. Telecommun., vol. 10, pp. 585-595, Nov/Dec. 1999. https://doi.org/10.1002/ett.4460100604