Sum and difference of two squared correlated Nakagami variates in connection with the McKay distribution

IEEE Transactions on Communications

Volumn 52, Issue 8, 2004, Pages 1367-1376

  Holm, Henrik ^a   Alouini, Mohamed Slim ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BESSEL FUNCTIONS; CORRELATION THEORY; INTEGRATION; MATHEMATICAL MODELS; MULTIPATH PROPAGATION; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RAYLEIGH FADING; SIGNAL INTERFERENCE; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE; THEOREM PROVING;

CORRELATED FADING; GAMMA DISTRIBUTION; GAUSS HYPERGEOMETRIC FUNCTION; MCKAY DISTRIBUTION; NAKAGAMI FADING; OUTAGE PROBABILITY;

FADING (RADIO);

EID: 4444346321     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2004.833019     Document Type: Article

References (28)

1. A. U. H. Sheikh, M. Handforth, and M. Abdi, "Indoor mobile radio channel at 946 MHz: Measurements and modeling," in Proc. 43rd IEEE Vehicular Technology Conf., Secaucus, NJ, May 1993, pp. 73-76.
2. M. Nakagami, "The m-distribution - A general formula of intensity distribution of rapid fading," in Statistical Methods in Radio Wave Propagation, W. C. Hoffman, Ed. New York: Pergamon, June 1960, pp. 3-36.
3. A. A. Abu-Dayya and N. C. Beaulieu, "Outage probabilities of cellular mobile radio systems with multiple Nakagami interferers," IEEE Trans. Veh. Technol., vol. 40, pp. 757-768, Nov. 1991.
4. Y.-D. Yao and A. U. H. Sheikh, "Investigations into cochannel interference in microcellular mobile radio systems," IEEE Trans. Veh. Technol., vol. 41, pp. 114-123, May 1992.
5. T. Eng and L. B. Milstein, "Coherent DS-CDMA performance in Nakagami multipath fading," IEEE Trans. Commun., vol. 43, pp. 1134-1143, Feb.-Apr. 1995.
6. V. A. Aalo, "Performance of maximal-ratio diversity systems in a correlated Nakagami-fading environment," IEEE Trans. Commun., vol. 43, pp. 2360-2369, Aug. 1995.
7. M.-S. Alouini and M. K. Simon, "Multichannel reception of digital signals over correlated Nakagami fading channels," in Proc. 36th Allerton Conf. Communication, Control, Computing, Allerton Park, IL, Sept. 1998, pp. 146-155.
8. P. Lombardo, G. Fedele, and M. M. Rao, "MRC performance for binary signals in Nakagami fading with general branch correlation," IEEE Trans. Commun., vol. 47, pp. 44-52, Jan. 1999.
9. M. Z. Win and J. H. Winters, "Exact error probability expressions for MRC in correlated Nakagami channels with unequal fading parameters and branch powers," in Proc. IEEE Global Communications Conf., Dec. 1999, pp. 2331-2335.
10. M. Nakagami and M. Nishio, "The distribution of the sum of squares of two correlated m-variables" (in Japanese), J. Inst. Elect. Commun. Engrs. Japan, vol. 38, no. 10, pp. 782-787, 1955.
11. M. Ōta, "The distribution of the ratio of the squares of two correlated m-variables," Inform. Theory Res. Committee Japan Rep., 1956.
12. M. Nakagami and M. Ōta, "The distribution of the product of two correlated m-variables," Radio Wave Prop. Res. Committee Japan Rep., 1957.
13. A. T. McKay, "A Bessel function distribution," Biometrika, vol. XXIV, no. 1/2, pp. 3944, May 1932.
14. m (x) Bessel function," Biometrika, vol. XXIV, no. 3/4, pp. 293-350, Nov. 1932.
15. R. G. Laha, "On some properties of the Bessel function distributions," Bull. Calcutta Math. Soc., vol. 46, pp. 59-72, 1954.
16. M. D. Springer, The Algebra of Random Variables. New York: Wiley, 1979.
17. N. L. Johnson, S. Kotz, and N. Balakrishnan, Continuous Univariate Distributions, 2nd ed. New York: Wiley, 1994, vol. 1.
18. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic, 2000.
19. Handbook of Mathematical Functions, M. Abramowitz and I. E. Stegun, Eds., U.S. Dept. Commerce, 1972.
20. M. G. Kendall, The Advanced Theory of Statistics, 3rd ed. London, U.K.: Griffin, 1947, vol. 1.
21. A. Papoulis, Probability, Random Variables, and Stochastic Processes, 3rd ed. New York: McGraw-Hill, 1991.
22. L. Fang, G. Bi, and A. C. Kot, "New method of performance analysis for diversity reception with correlated Rayleigh-fading signals," IEEE Trans. Veh. Technol., vol. 49, pp. 1807-1812, Sept. 2000.
23. W. C. Y. Lee, Mobile Communications Engineering, 1st ed. New York: McGraw-Hill, 1982.
24. C. Tellambura and A. D. S. Jayalath, "Generation of bivariate Rayleigh and Nakagami-m fading envelopes," IEEE Commun. Lett., vol. 4, pp. 170-172, May 2000.
25. Y.-C. Ko, "Analysis techniques for the performance evaluation of wireless communication systems and estimation of wireless channels," Ph.D. dissertation, Univ. Minnesota, Minneapolis, MN, Oct. 2001.
26. Q. T. Zhang, "A decomposition technique for efficient generation of correlated Nakagami fading channels," IEEE J. Select. Areas Commun., vol. 18, pp. 2385-2392, Nov. 2000.
27. A. Ligeti, "Outage probability in the presence of correlated lognormal useful and interfering components," IEEE Commun. Lett., vol. 4, pp. 15-17, Jan. 2000.
28. K. Pearson, Table of Incomplete Beta Functions. London, U.K.: Cambridge Univ. Press, 1932.