Some applications of lauricella hypergeometric function F A in performance analysis of wireless communications

IEEE Communications Letters

Volumn 16, Issue 5, 2012, Pages 581-584

  Shi, Qinghua ^a   Karasawa, Y ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

Equal gain combining; Error probability; Lauricella hypergeometric function

Indexed keywords

BPSK MODULATION; CLOSED-FORM EXPRESSION; DIVERSITY SYSTEMS; EQUAL-GAIN COMBINING; ERROR FUNCTION; ERROR PROBABILITIES; HYPERGEOMETRIC FUNCTIONS; NAKAGAMI-M FADING CHANNELS; PERFORMANCE ANALYSIS; WIRELESS COMMUNICATIONS;

FADING CHANNELS;

WIRELESS TELECOMMUNICATION SYSTEMS;

EID: 84861194400     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2012.030912.112454     Document Type: Article

References (16)

1. H. M. Srivastava and P. W. Karlsson, Multiple Gauss Hypergeometric Series. E. Horwood, 1985.
2. A. Annamalai, C. Tellambura, and V. K. Bhargava, "Equal-gain diversity receiver performance in wireless channels," IEEE Trans. Commun., vol. 48, no. 10, pp. 1732-1745, Oct. 2000.
3. O. C. Ugweje, "Selection diversity for wireless communications in Nakagami-fading with arbitrary parameters," IEEE Trans. Veh. Technol., vol. 50, no. 6, pp. 1437-1448, Nov. 2001.
4. R. Annavajjala, A. Chockalingam, and L. B. Milstein, "Performance analysis of coded communication systems on Nakagami fading channels with selection combining diversity," IIEEE Trans. Commun., vol. 52, no. 7, pp. 1214-1220, July 2004.
5. P. R. Sahu and A. K. Chaturvedi, "Performance analysis of predetection EGC in exponentially correlated Nakagami-m fading channel," IEEE Trans. Wireless Commun., vol. 5, no. 7, pp. 1634-1638, July 2006.
6. Z. Du, J. Cheng, and N. C. Beaulieu, "Accurate error-rate performance analysis of OFDM on frequency-selective Nakagami-m fading channels," IEEE Trans. Commun., vol. 54, no. 2, pp. 319-328, Feb. 2006.
7. R. M. Radaydeh and M. M. Matalgah, "Results for infinite integrals involving higher-order powers of the Gaussian Q-function with application to average," IEEE Trans. Wireless Commun., vol. 7, no. 3, pp. 793-798, Mar. 2008.
8. V. A. Aalo and G. P. Efthymoglou, "On the MGF and BER of linear diversity schemes in Nakagami fading channels with arbitrary parameters," in Proc. 2009 IEEE VTC-Spring.
9. J. M. Romero-Jerez and A. J. Goldsmith, "Performance of multichannel reception with transmit antenna selection in arbitrarily distributed Nagakami fading channels," IEEE Trans. Wireless Commun., vol. 8, no. 4, pp. 2006-2013, Apr. 2009.
10. N. M. Steen, G. D. Byrne, and E. M. Gelbard, "Gaussian quadratures for the integrals ∞ 0 ex2 f(x)dx and b 0 ex2 f(x)dx," Mathematics of Computation, vol. 23, no. 107, pp. 661-671, 1969.
11. M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis, 2nd edition. Wiley, 2005.
12. Y. Chen and N. C. Beaulieu, "Solutions to infinite integrals of Gaussian Q-function products and some applications," IEEE Commun. Lett., vol. 11, no. 11, pp. 853-855, Nov. 2007.
13. Q. T. Zhang, "Probability of error for equal-gain combiners over Rayleigh channels: some closed-form solutions," IEEE Trans. Commun., vol. 45, no. 3, pp. 270-273, Mar. 1997.
14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th edition. Academic, 2007.
15. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 4th edition. Dover, 1970.
16. M. D. Yacoub, "The κ-μ distribution and the η-μ distribution," IEEE Antennas Propag. Mag., vol. 49, no. 1, pp. 68-81, Feb. 2007.