On the sum of gamma random variates with application to the performance of maximal ratio combining over Nakagami-m fading channels

IEEE Workshop on Signal Processing Advances in Wireless Communications, SPAWC

Volumn , Issue , 2012, Pages 394-398

  Ansari, Imran Shafique ^a   Yilmaz, Ferkan ^a   Alouini, Mohamed Slim ^a   Kucur, Oǧuz ^b  

^a KING ABDULLAH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Saudi Arabia)

^b GEBZE TECHNICAL UNIVERSITY   (Turkey)

Author keywords

binary modulation schemes; bit error rate (BER); cellular mobile radio systems; diversity; Extended Fox H function ( ) distribution; Fox H function distribution; Fox H function distribution; Gamma variates; maximal ratio combining (MRC); Meijer G function distribution; non integer parameters

Indexed keywords

BINARY MODULATION; CELLULAR MOBILE RADIO SYSTEMS; DIVERSITY; G FUNCTION; GAMMA-VARIATE; H FUNCTION; MAXIMAL RATIO COMBINING (MRC); NON-INTEGER PARAMETERS;

BIT ERROR RATE; PROBABILITY DISTRIBUTIONS; SIGNAL PROCESSING; WIRELESS TELECOMMUNICATION SYSTEMS;

DISTRIBUTION FUNCTIONS;

EID: 84868031569     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SPAWC.2012.6292935     Document Type: Conference Paper

References (23)

1. A. M. Mathai, "Storage capacity of a dam with gamma type inputs," Annals of Institute of Statistical Mathematics, vol. 34(3), no. A, pp. 591-597, 1982.
2. P. G. Moschopoulos, "The distribution of the sum of independent gamma random variables," Annals of Institute of Statistical Mathematics, vol. 37, no. A, pp. 541-544, 1985.
3. G. K. Karagiannidis, N. C. Sagias, and T. A. Tsiftsis, "Closed-form statistics for the sum of squared Nakagami-m variates and its applications," IEEE Transactions on Communications, vol. 54, no. 8, pp. 1353-1359, Aug. 2006.
4. M.-S. Alouini, A. Abdi, and M. Kaveh, "Sum of gamma variates and performance of wireless communication systems over Nakagami-fading channels," IEEE Transactions on Vehicular Technology, vol. 50, no. 6, pp. 1471-1480, Nov. 2001.
5. V. A. Aalo, "Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment," IEEE Transactions on Communications, vol. 43, no. 8, pp. 2360-2369, Aug. 1995.
6. V. A. Aalo, T. Piboongungon, and G. P. Efthymoglu, "Another look at the performance of MRC schemes in Nakagami-m fading channels with arbitrary parameters," IEEE Transactions on Communications, vol. 53, no. 12, pp. 2002-2005, Dec. 2005.
7. G. P. Efthymoglu, T. Piboongungon, and V. A. Aalo, "Performance of DS-CDMA receivers with MRC in Nakagami-m fading channels with arbitrary parameters," IEEE Transactions on Vehicular Technology, vol. 55, no. 1, pp. 104-114, Jan. 2006.
8. P. Lombardo, G. Fedele, and M. M. Rao, "MRC performance for binary signals in Nakagami fading with general branch correlation," IEEE Transactions on Communications, vol. 47, no. 1, pp. 44-52, Jan. 1999.
9. Q. T. Zhang, "Exact analysis of postdetection combining for DPSK and NFSK systems over arbitrarily correlated Nakagami channels," IEEE Transactions on Communications, vol. 46, no. 11, pp. 1459-1467, Nov. 1988.
10. A. M. Mathai and R. K. Saxena, The H-Function with Applications in Statistics. New York: Wiley Halsted, 1978.
11. R. K. Saxena, "Functional relations involving generalized H-function," Le Matematiche, vol. 53, no. 1, pp. 123-131, 1998.
12. R. G. Buschman and H. M. Srivastava, "The H̄ function associated with a certain class of Feynman integrals," Journal of Physics A: Mathematical and General, vol. 23, pp. 4707-4710, 1990.
13. A. M. Mathai, R. K. Saxena, and H. J. Haubold, The H-Function. New York Dordrecht Heidelberg London: Springer, 2010.
14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. New York: Academic Press, 2000.
15. F. Yilmaz and M.-S. Alouini, "Product of the powers of generalized Nakagami-m variates and performance of cascaded fading channels," in Proceedings of IEEE Global Telecommunications Conference, 2009. (GLOBECOM 2009), Honolulu, Hawaii, US, Nov.-Dec. 2009, pp. 1-8.
16. th International Conference on Telecommunications (ICT), Doha, Qatar, Apr. 2010, pp. 260-265.
17. I. S. Ansari, S. Al-Ahmadi, F. Yilmaz, M.-S. Alouini, and H. Yanikomeroglu, "A new formula for the BER of binary modulations with dual-branch selection over generalized-K composite fading channels," IEEE Transactions on Communications, vol. 59, no. 10, pp. 2654-2658, Oct. 2011.
18. I. Wolfram Research, Mathematica Edition: Version 8.0. Champaign, Illinois: Wolfram Research, Inc., 2010.
19. S. M. Ross, Introduction to Probability Models, 10th ed. US: Academic Press, Dec. 2009.
20. M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels, 2nd ed. Hoboken, New Jersey, USA: IEEE: John Wiley & Sons, Inc., 2005.
21. A. H. Wojnar, "Unknown bounds on performance in Nakagami channels," IEEE Transactions on Communications, vol. 34, no. 1, pp. 22-24, Jan. 1986.
22. N. C. Sagias, D. A. Zogas, and G. K. Karagiannidis, "Selection diversity receivers over nonidentical Weibull fading channels," IEEE Transactions on Vehicular Technology, vol. 54, no. 6, pp. 2146-2151, Nov. 2005.
23. I. S. Ansari, F. Yilmaz, and M.-S. Alouini, "New results on the sum of gamma random variates with applications to the performance of wireless communication systems over Nakagami-m fading channels," submitted to IEEE Transactions on Communications, 2012, available in arxiv.org at http://arxiv.org/abs/1202.2576.