volume | PIER Journals

Abstract

In this paper, we have analyzed the channel capacity by using the maximal-ratio combing (MRC) diversity scheme for communication systems operating over a composite fading environment modeled by the Generalized-K distribution at the receiver. For the Generalized-K fading channel with arbitrary values for small and large scale fading parameters, we have derived a closed-form expression for the moment generating function (MGF) of the received signal-to-noise ratio (SNR) and utilized it to obtain a novel closed-form expressions for the channel capacity under different adaptive transmission schemes. The result of the proposed methods is compared with other reported literature to support the analysis.

1. Simon, M. K. and M.-S. Alouini, Digital Communication over Fading Channels, 2nd edition, Wiley, New York, 2005.

2. Erricolo, D. and P. L. E. Uslenghi, "Two dimensional simulator for propagation in urban environments," IEEE Transactions on Vehicular Technology, Vol. 50, No. 4, 1158-1168, July 2001.
doi:10.1109/25.938590 Google Scholar

3. Varzakas, P. and G. S. Tombras, "Spectral effciency of a single cell multi-carrier DS-CDMA system in Rayleigh fading," Journal of the Franklin Institute-engineering and Applied Mathematics, Vol. 343, 295-300, 2006.
doi:10.1016/j.jfranklin.2006.03.001 Google Scholar

4. Varzakas, P. and G. S. Tombras, "Spectral effciency of a cellular MC/DS-CDMA system in Rayleigh fading," International Journal of Communication Systems, Vol. 18, No. 8, 795-801, Oct. 2005.
doi:10.1002/dac.730 Google Scholar

5. Sagias, N. C., P. Varzakas, G. S. Tombras, and G. K. Karagiannidis, "Spectral effciency for selection combining RAKE receivers over Weibull fading channels," Journal of the Franklin Institute- Engineering and Applied Mathematics, Vol. 342, 7-13, 2005.
doi:10.1016/j.jfranklin.2004.07.007 Google Scholar

6. Shankar, P. M., "Error rates in generalized shadowed fading channels," Wireless Personal Communications, Vol. 28, No. 4, 233-238, Feb. 2004.
doi:10.1023/B:wire.0000032253.68423.86 Google Scholar

7. Abdi, A. and M. Kaveh, "K-distribution: An appropriate substitute for Rayleigh-lognormal distribution in fading-shadowing wireless channels," Electron. Lett., Vol. 34, No. 9, 851-852, Apr. 1998.
doi:10.1049/el:19980625 Google Scholar

8. Abdi, A. and M. Kaveh, "Comparison of DPSK and MSK bit error rates for K and Rayleigh-Lognormal fading distributions," IEEE Commun. Lett., Vol. 4, No. 4, 122-124, Apr. 2000.
doi:10.1109/4234.841317 Google Scholar

9. Dwivedi, V. K. and G. Singh, "Analysis of channel capacity of Generalized-K fading with maximal-ratio combining diversity receivers," Proc. of IEEE Int. Conference on Commun. Systems and Network Technol. (CSNT-2011), 550-552, India, Jun. 3-5, 2011. Google Scholar

10. Hui, H. T., "The performance of the maximum ratio combining method in correlated Rician-fading channels for antenna-diversity signal combining," IEEE Trans. Antennas Propag., Vol. 53, No. 3, 958-964, Mar. 2005.
doi:10.1109/TAP.2004.842649 Google Scholar

11. Boche, H. and E. A. Jorswieck, "On the ergodic capacity as a function of the correlation properties in systems with multiple transmit antennas without CSI at the transmitter," IEEE Trans. Commun., Vol. 52, No. 10, 1654-1657, Oct. 2004.
doi:10.1109/TCOMM.2004.836428 Google Scholar

12. Dwivedi, V. K. and G. Singh, "Error-rate analysis of OFDM for correlated Nakagami-m fading channel by using maximal-ratio combining diversity," International Journal of Microwave and Wireless Technol., Vol. 3, No. 6, 717-726, Dec. 2011.
doi:10.1017/S1759078711000742 Google Scholar

13. Shankar, P. M., "Performance analysis of diversity combining algorithms in shadowed fading channels," Wireless Personal Commun., Vol. 37, No. 1-2, 61-72, Feb. 2006.
doi:10.1007/s11277-006-1080-9 Google Scholar

14. Goldsmith, A. and P. Varaiya, "Capacity of fading channels with channel side information," IEEE Trans. Inform. Theory, Vol. 43, 1896-1992, Nov. 1997. Google Scholar

15. Lee, W. C. Y., "Estimate of channel capacity in Rayleigh fading environment," IEEE Trans. on Veh. Techlo., Vol. 93, 187-189, Aug. 1990.
doi:10.1109/25.130999 Google Scholar

16. Gunther, C. G., "Comment on estimate of channel capacity in Rayleigh fading environment," IEEE Trans. on Veh. Technol., Vol. 45, 401-403, May 1996.
doi:10.1109/25.492915 Google Scholar

17. Alouini, M. S. and A. J. Goldsmith, "Capacity of Rayleigh fading channels under different adaptive transmission and diversity-combining techniques," IEEE Trans. on Veh. Technol., Vol. 48, 1165-1181, Jul. 1999. Google Scholar

18. Khatalin, S. and J. P. Fonseka, "Capacity of correlated Nakagami-m fading channels with diversity combining techniques," IEEE Trans. on Veh. Technol., Vol. 55, 142-150, Jan. 2006.
doi:10.1109/TVT.2005.861206 Google Scholar

19. Karagiannidis, G. K., N. C. Sagias, and G. S. Tombras, "New results for the Shannon channel capacity in generalized fading channels," IEEE Commun. Lett., Vol. 9, No. 2, 97-99, Feb. 2005.
doi:10.1109/LCOMM.2005.02031 Google Scholar

20. Khatalin, S. and J. P. Fonseka, "On the channel capacity in Rician and Hoyt fading environment with MRC diversity," IEEE Trans. on Veh. Technol., Vol. 55, No. 1, 137-141, Jan. 2006.
doi:10.1109/TVT.2005.861205 Google Scholar

21. Laourine, A., M. S. Alouini, S. Affes, and A. St'ephenne, "On the capacity of Generalized-K fading channels," IEEE Trans. on Wireless Commun., Vol. 7, No. 7, 2441-2445, Jul. 2008.
doi:10.1109/TWC.2008.070103 Google Scholar

22. Efthymoglou, G. P., N. Y. Ermolova, and V. A. Aalo, "Channel capacity and average error rates in generalized-K fading channels," IET Commun., Vol. 4, No. 11, 1364-1372, Jul. 2010.
doi:10.1049/iet-com.2009.0457 Google Scholar

23. Zhang, Q. T. and D. P. Liu, "Simple capacity formulas for correlated SIMO Nakagami channels," Proc. IEEE Veh. Technol. Conf., Vol. 1, 554-556, Apr. 2003. Google Scholar

24. Hamdi, K. A., "Capacity of MRC on correlated rician fading channels," IEEE Trans. Commun., Vol. 56, 708-711, May 2008.
doi:10.1109/TCOMM.2008.060381 Google Scholar

25. Palat, R. C., A. Annamalai, and J. H. Reed, "An effcient method for evaluating information outage probability and ergodic capacity of OSTBC system," IEEE Commun. Lett., Vol. 12, 191-193, 2008.
doi:10.1109/LCOMM.2008.071934 Google Scholar

26. Di Renzo, M., F. Graziosi, and F. Santucci, "Channel capacity over generalized fading channels: A novel MGF-based approach for performance analysis and design of wireless communication systems," IEEE Trans. Veh. Tech., Vol. 59, 127-149, Jan. 2010.
doi:10.1109/TVT.2009.2030894 Google Scholar

27. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th Edition, Academic, New York, 2007.

28. Prudnikov, A. P., Y. A. Brychkov, and O. I. Marichev, "Integrals and series: More special functions," Gordon and Breach Science, Vol. 3, Translated from the Russian by G. G. Gould, 1990. Google Scholar

29. Alouini, M.-S., A. Abdi, and M. Kaveh, "Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels," IEEE Trans. Veh. Technol., Vol. 50, No. 6, 1471-1480, Nov. 2001.
doi:10.1109/25.966578 Google Scholar

30. Simon, M. K. and M.-S. Alouini, "A unified approach to the performance analysis of digital communications over generalized fading channels," Proc. IEEE, Vol. 86, No. 9, 1860-1877, Sep. 1998.
doi:10.1109/5.705532 Google Scholar

31. Annamalai, A., C. Tellambura, and V. K. Bhargava, "A general method for calculating error probabilities over fading channels," IEEE Trans. Commun., Vol. 53, No. 5, 841-852, May 2005.
doi:10.1109/TCOMM.2005.847118 Google Scholar

32. Ko, Y.-C., M.-S. Alouini, and M. K. Simon, "Outage probability of diversity systems over generalized fading channels," IEEE Trans.Commun., Vol. 48, No. 11, 1783-1787, Nov. 2000. Google Scholar

33. Annamalai, A., C. Tellambura, and V. K. Bhargava, "Simple and accurate methods for outage analysis in cellular mobile radio systems - A unified approach," IEEE Trans. Commun., Vol. 49, No. 2, 1879-1883, Nov. 2001. Google Scholar

34. Veeravalli, V. V., "On performance analysis for signaling on correlated fading channels," IEEE Trans. Commun., Vol. 49, No. 11, 1879-1883, Nov. 2001.
doi:10.1109/26.966050 Google Scholar

35. Alouini, M.-S. and A. Goldsmith, "A unified approach for calculating error rates of linearly modulated signals over generalized fading channels," IEEE Trans. Commun., Vol. 47, No. 92, 1324-1334, Sep. 1999.
doi:10.1109/26.789668 Google Scholar

Dr. Vivek K. Dwivedi

Prof. Ghanshyam Singh