Highly accurate closed-form approximations to the sum of α-μ variates and applications

IEEE Transactions on Wireless Communications

Volumn 7, Issue 9, 2008, Pages 3301-3306

  Da Costa, Daniel Benevides ^a,b,c   Yazoub, Michel Daoud ^a,b   Santos Filho, José Cândido Silveira ^b  

^a IEEE

^b UNIVERSITY OF CAMPINAS   (Brazil)

^c INRS EMT   (Canada)

Author keywords

sums; Approximation methods; Diversity systems; Generalized fading channels; Moment based estimators; Performance analysis

Indexed keywords

DISTRIBUTION FUNCTIONS; FADING (RADIO); FADING CHANNELS; PROBABILITY; PROBABILITY DISTRIBUTIONS; SIGNAL PROCESSING; TELECOMMUNICATION; WIRELESS TELECOMMUNICATION SYSTEMS;

APPROXIMATE SOLUTIONS; APPROXIMATION METHODS; CLOSED-FORM APPROXIMATIONS; CUMULATIVE DISTRIBUTION FUNCTION; DIVERSITY SYSTEMS; EQUAL-GAIN COMBINING; GENERALIZED FADING CHANNELS; GENERALIZED GAMMA; MAXIMAL-RATIO COMBINING RECEIVERS; MOMENT-BASED ESTIMATORS; OUTAGE PROBABILITY; PERFORMANCE ANALYSIS; PERFORMANCE METRICS; PROBABILITY DENSITIES; SUM STATISTICS; WIRELESS COMMUNICATIONS;

PROBABILITY DENSITY FUNCTION;

EID: 52349124496     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2008.070336     Document Type: Conference Paper

References (18)

1. J. G. Proakis, Digital Communications. New York: McGraw-Hill, 2001.
2. M. K. Simon and M. -S. Alouni, Digital Communication over Fading Channels. New York: Wiley, 2005.
3. J. Hu and N. C. Beaulieu, "Accurate simple closed-form approximations to Rayleigh sum distributions and densities," IEEE Commun. Lett., vol. 9, no. 2, pp. 109-111, Feb. 2005.
4. _, "Accurate closed-form approximations to Ricean sum distributions and densities," IEEE Commun. Lett., vol. 9, no. 2, pp. 133-135, Feb. 2005.
5. J. C. S. Santos Filho and M. D. Yacoub, "Simple precise approximations to Weibull sums," IEEE Commun. Lett., vol. 10, no. 8, pp. 614-616, Aug. 2006.
6. , "Nakagami-m approximation to the sum of M non-identical independent Nakagami-m variates," Electron. Lett., vol. 40, no. 15, pp. 951-952, July 2004.
7. _, "Highly accurate κ-μ approximation to sum of M independent non-identical Ricean variates ," Electron. Lett., vol. 41, no. 6, pp. 338-339, Mar. 2005.
8. _, "Highly accurate η-μ approximation to the sum of M independent non-identical Hoyt variates ," IEEE Ant. and Wrel. Prop. Lett., vol. 4, pp. 436-438, 2005.
9. T. Piboongungon, V. A. Aalo, and C. -D. Iskander, "Average error rate of linear diversity reception schemes over generalized Gamma fading channels," in Proc. IEEE Southeastcon, Ft. Lauderdale, FL, Apr. 2005, pp. 265-270.
10. N. C. Sagias, G. K. Karagiannidis, P. T. Mathiopoulus, and T. A. Tsiftsis, "On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels," IEEE Trans. Wireless Commun., vol. 5, no. 10, pp. 2967-2975, Oct. 2006.
11. V. A. Aalo, T. Piboongungon, and C. -D. Iskander, "Bit-error rate of binary digital modulation schemes in generalized Gamma fading channels," IEEE Commun. Lett., vol. 9, no. 2, pp. 139-141, Feb. 2005.
12. G. K. Karagiannidis, T. A. Tsiftsis, and N. C. Sagias, "A closed-form upper-bound for the distribution of the weighted sum of Rayleigh variates," IEEE Commun. Lett., vol. 9, no. 7, pp. 589-591, July 2005.
13. A. J. Coulson, A. G. Williamson, and R. G. Vaughan, "Improved fading distribution for mobile radio," IEEE Proc. Commun., vol. 145, no. 3, pp. 197-202, June 1998.
14. E. W. Stacy, "A generalization of the Gamma distribution," Annal. Math. Stat., vol. 33, pp. 1187-1192, 1962.
15. M. D. Yacoub, "The α-μ, distribution: A general fading distribution," in Proc. IEEE Inter. Symp. on Personal, Indoor and Mobile Radio Commun., vol. 2, pp. 629-633, Sept. 2002.
16. _, "The α-μ distribution: a physical fading model for the Stacy distribution," IEEE Trans. Veh. Technol., vol. 56, no. 1, pp. 27-34, Jan. 2007.
17. C. R. C. M. da Silva and M. D. Yacoub, "A generalized solution for diversity combining techniques in fading channels," IEEE Trans. Microwave Theory and Techniques, vol. 50, no. 1, pp. 46-50, Jan. 2002.
18. G. Fraidenraich, M. D. Yacoub, and J. C. S. Santos Filho, "Second-order statistics of maximal-ratio and equal-gain combining in Weibull fading," IEEE Commun. Lett., vol. 9, no. 6, pp. 499-501, June 2005.