A tight closed-form approximation of the log-normal fading channel capacity

IEEE Transactions on Wireless Communications

Volumn 8, Issue 6, 2009, Pages 2842-2847

  Héliot, Fabien ^a   Chu, Xiaoli ^b   Hoshyar, Reza ^a   Tafazolli, Rahim ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Closed form; Ergodic capacity; Fading channels; Hyperbolic functions; Log normal distribution

Indexed keywords

CLOSED FORM APPROXIMATIONS; CLOSED-FORM; ERGODIC CAPACITY; HYPERBOLIC FUNCTIONS; IEEE 802.15.3A; LOG-NORMAL; LOG-NORMAL DISTRIBUTION; LOG-NORMAL FADING; MULTI ANTENNAS; RECEIVE DIVERSITY; SMALL-SCALE FADING; ULTRA-WIDEBAND COMMUNICATIONS; UWB SYSTEM; WIRELESS COMMUNICATIONS;

BROADBAND NETWORKS; CHANNEL CAPACITY; COMMUNICATION SYSTEMS; DISTRIBUTION FUNCTIONS; FADING (RADIO); NORMAL DISTRIBUTION; SIGNAL RECEIVERS; WIRELESS TELECOMMUNICATION SYSTEMS;

FADING CHANNELS;

EID: 67651173063     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2009.080972     Document Type: Article

References (25)

1. J. Proakis, Digital Communications, 4th ed.. McGraw-Hill, 2001.
2. J. Foerster and et al., "Channel modelling sub-committee report final," IEEE P802.15 Wireless Personal Area Networks, Tech. Rep. P802.15-02/490r1-SG3a, Feb. 2003.
3. M. Ghavami, L. Michael, and R. Kohno, Ultra Wideband Signals and Systems in Communication Engineering. Wiley Europe, 2004.
4. A. Laourine, A. Stephenne, and S. Affes, "Capacity of log-normal fading channels," in Proc. IWCMC '07, Honolulu, Hawaii, Aug. 2007, pp. 13-17.
5. W. C. Y. Lee, "Estimate of channel capacity in Rayleigh fading environment," IEEE Trans. Veh. Technol., vol. 93, no. 3, pp. 187-189, Aug. 1990.
6. S. Khatalin and J. P. Fonseka, "On the channel capacity in Rician and Hoyt fading environment with MRC diversity," IEEE Trans. Veh. Technol., vol. 55, no. 1, pp. 137-141, Jan. 2006.
7. N. C. Sagias, G. S. Tombras, and G. K. Karagiannidis, "New results for the Shannon channel capacity in generalized fading channels," IEEE Commun. Lett., vol. 9, no. 2, pp. 97-99, Jan. 2005.
8. M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis. Wiley, 2000.
9. D. B. da Costa and M. D. Yacoub, "Average channel capacity for generalized fading scenarios," IEEE Commun. Lett., vol. 11, no. 12, pp. 949-951, Dec. 2007.
10. G. Fraidenraich, O. Leveque, and J. M. Cioffi, "On the MIMO channel capacity for the dual and asymptotic cases over Hoyt channels," IEEE Commun. Lett., vol. 11, no. 1, pp. 31-33, Jan. 2007.
11. -, "On the MIMO channel capacity for the Nakagami-m channel," IEEE Trans. Inform. Theory, vol. 54, no. 8, pp. 3752-3757, Aug. 2008.
12. F. Heliot, M. Ghavami, and M. R. Nakhai, "An accurate closed-form approximation of the average probability of error over a log-normal fading channel," IEEE Trans. Wireless Commun., vol. 7, no. 5, pp. 1495-1500, May 2008.
13. M. S. Alouini and A. J. Goldsmith, "Area spectral efficiency of cellular mobile radio systems," IEEE Trans. Veh. Technol, vol. 48, no. 4, pp. 1047-1066, July 1999.
14. A. Laourine, A. Stephenne, and S. Affes, "Estimating the ergodic capacity of log-normal channels," IEEE Commun. Lett., vol. 11, no. 7, pp. 568-570, July 2007.
15. N. C. Beaulieu and F. Rajwani, "Highly accurate simple closed-form approximations to lognormal sum distributions and densities," IEEE Commun. Lett., vol. 8, no. 12, pp. 709-711, Dec. 2004.
16. F Heliot, X. Chu, R. Hoshyar, and R. Tafazolli, "An accurate closed-form approximation of the ergodic capacity over log-normal fading channels," in Proc. IEEE PIMRC 08, Cannes, France, Sept. 2008.
17. J. Gubner and K. Hao, "An exact computable formula for the average bit-error probability of the IEEE 802.15.3a UWB channel model," in Proc. IEEE ICUW 2005, Zurich, Switzerland, Sept. 2005, pp. 142-146.
18. H. Liu, "Error performance of a pulse amplitude and position modulated ultra-wideband system over lognormal fading channel," IEEE Commun. Lett., vol. 7, no. 11, pp. 531-533, Nov. 2003.
19. N. C. Beaulieu, A. A. Abu-Dayya, and P. J. Mclane, "Estimating the distribution of a sum of independent lognormal random variables," IEEE Trans. Commun., vol. 43, no. 12, pp. 2869-2873, Dec. 1995.
20. J. S. Filho, P. Cardieri, and M. Yacoub, "Simple accurate lognormal approximation to lognormal sums," Electron. Lett., vol. 41, no. 18, pp. 1016-1017, Sept. 2005.
21. -, "Highly accurate range-adaptive lognormal approximation to lognormal sum distributions," Electron. Lett., vol. 42, no. 6, pp. 361-363, 2006.
22. N. B. Mehta, A. F Molisch, J. Wu, and J. Zhang, "Approximating a sum of random variables with a lognormal," IEEE Trans. Wireless Commun., vol. 6, no. 7, pp. 2690-2699, July 2007.
23. F Heliot, "Design and analysis of space-time block and trellis coding schemes for single-band UWB communications systems," Ph.D. dissertation, King's College London, University of London, July 2006. [Online]. Available: http://membres.lycos.fr/fheliot/pub/PhD-thesis.pdf
24. M. Saleem, B. T. Sieskul, and T. Kaiser, "Channel capacity assessments in UWB communication system over lognormal fading," in Proc. IET Seminar on UWB Systems, Technologies and Applications, Apr. 2006, pp. 155-159.
25. M. Dohler, "Virtual antenna arrays," Ph.D. dissertation, King's College London, University of London, Nov 2003. [Online]. Available: http://perso.rd.francetelecom.fr/dohler/theses/PhD.pdf