A simple exponential integral representation of the generalized Marcum Q-function Q M(a,b) for real-order M with applications

Proceedings - IEEE Military Communications Conference MILCOM

Volumn , Issue , 2008, Pages

  Annamalai Jr , A ^a   Tellambura, C ^b  

^a Texas A M University System   (United States)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BIVARIATE; CHI-SQUARE RANDOM VARIABLES; COMPLEMENTARY CUMULATIVE DISTRIBUTION FUNCTIONS; COMPUTATIONAL ALGORITHMS; CORRELATED NAKAGAMI-M FADING; CUMULATIVE DISTRIBUTION FUNCTIONS; DIVERSITY SELECTIONS; EXPONENTIAL INTEGRALS; GENERALIZED FADING CHANNELS; INTEGRAL REPRESENTATIONS; MARCUM Q FUNCTIONS; MARKOVIAN; NAKAGAMI-M FADING; NEW FORMS; PACKET ERRORS; PERFORMANCE ANALYSIS; POSITIVE INTEGERS; SELECTION DIVERSITIES; SEVERITY INDICES; SIGNAL-TO-NOISE RATIOS; THRESHOLD MODELS; UNIFIED ANALYSIS; UPPER AND LOWER BOUNDS;

ACOUSTIC INTENSITY; CONTROL THEORY; DISTRIBUTION FUNCTIONS; FADING (RADIO); MILITARY COMMUNICATIONS; RANDOM ERRORS; RANDOM VARIABLES; SIGNAL TO NOISE RATIO;

FADING CHANNELS;

EID: 78650758961     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/MILCOM.2008.4753297     Document Type: Conference Paper

References (29)

1. J. I. Marcum, "A Statistical Theory of Target Detection by Pulsed Radar," IRE Trans. Information Theory, vol. 6, April 1960, pp. 59-267.
2. C. W. Helstrom, Elements of Signal Detection and Estimation, Prentice-Hall: 1995, pp. 523-530.
3. John G. Proakis, Digital Communications, Third Edition, McGraw-Hill, New York: 1995.
4. M. K. Simon and M. S. Alouini, Digital Communications over Fading Channels, Wiley: 2000.
5. W. F. McGee, "Another Recursive Method of Computing the Q-Function," IEEE Trans. Information Theory, vol. 16, July 1970, pp. 500-501.
6. G M. Dillard, "Recursive Computation of the Generalized Q-Function," IEEE Trans. Aerospace Electronics Systems, vol. 9, July 1973, pp. 614-615.
7. D. A. Shnidman, "Efficient Evaluation of Probability of Detection and the Generalized Q-Function," IEEE Trans. Information Theory, vol. 22, Nov. 1976, pp. 746-751.
8. S. Parl, "A New Method of Calculating the Generalized Q Function," IEEE Trans. Information Theory, vol. 26, January 1980, pp. 121-124.
9. P. E. Cantrell, "On the Calculation of the Generalized Q-Function via Parl's Method," IEEE Trans. Information Theory, vol. 32, Nov. 1986, pp. 817-824.
10. P. E. Cantrell and A. K. Ojha, "Comparison of Generalized Q-Function Algorithms," IEEE Trans. Information Theory, vol. 33, July 1987, pp. 591-596.
11. D. A. Shnidman, "The Calculation of the Probability of Detection and Generalized Marcum Q-Function," IEEE Trans. Information Theory, March 1989, pp. 389-400.
12. C. W. Helstrom, "Computing the Generalized Marcum Q-Function," IEEE Trans. Information Theory, vol. 38, July 1992, pp. 1422-1428.
13. D. A. Shnidman, "Two Noncentral Chi-Square Generalizations," IEEE Trans. Information Theory, vol. 42, January 1996, pp. 283-285.
14. C. Tellambura and A. Annamalai, Tutorial Notes: Analytical Tools for Wireless Communications Systems Design presented at the VTC'2000, ICC'2000, WCNC'2000, GLOBE-COM'2001, VTC'2002 conferences.
15. A. Annamalai and C. Tellambura, "Cauchy-Schwarz Bound on the Generalized Marcum Q-Function with Applications," Wiley Journal on Wireless Communications and Mobile Computing, vol. 1, 2001, pp. 243-253.
16. G Weinberg, "Poisson Representation and Monte Carlo Estimation of Generalized Marcum Q-Function," IEEE Trans. Aerospace and Electronic Systems, vol. 42, October 2006, pp. 1520-1531.
17. R. Li and P. Y. Kam, "Generic Exponential Bounds on Generalized Marcum Q-Function via a Geometric Approach," Proc. IEEE GLOBECOM, November 2007, pp. 1754-1758.
18. M Function," IEEE Trans. Information Theory, Jan. 1975, pp. 95-96.
19. M Function," Naval Underwater Systems Tech. Rep. 4297, May 1974.
20. J. W. Craig, "A New, Simple, and Exact Result for Calculating the Probability of Error for Two-Dimension Signal Constellations," Proc. IEEE MILCOM, 1991, pp. 571-575.
21. M. K. Simon, "A New Twist on the Marcum Q-Function and Its Application," IEEE Communications Letters, vol. 2, Feb. 1998, pp. 39-41.
22. C. Tellambura and A. Annamalai, "Contour Integral Representation for the Generalized Marcum Q-Function and Its Application to Unified Analysis of Dual Branch Selection Diversity over Correlated Nakagami-m Channels," Proc. IEEE VTC-Spring 2000, pp. 1031-1034.
23. C. Tellambura, A. Annamalai and V. K. Bhargava, "Closed-Form and Infinite Series Solutions for the MGF of a Dual-Diversity Selection Combiner Output in Bivariate Nak-agami Fading," IEEE Trans. Communications, vol. 51, April 2003, pp. 539-542.
24. th edition, Academic Press: 1994.
25. M. K. Simon and M. S. Alouini, "A Unified Performance Analysis of Digital Communication with Dual Selective Combining Diversity over Correlated Rayleigh and Nakagami-m Fading Channels," IEEE Transactions on Communications, vol. 47, January 1999, pp. 33-43.
26. A. Annamalai, C. Tellambura and V K. Bhargava, "A General Method for Calculating Error Probabilities over Fading Channels," IEEE Transactions on Communications, vol. 53, May 2005, pp. 841-852.
27. C. C. Tan and N. C. Beaulieu, "Infinite Series Representations of Bivariate Rayleigh and Nakagami-m Distributions," IEEE Transactions on Communications, vol. 45, October 1997, pp. 1159-1161.
28. M. Simon and M. Alouini, "A Simple Single Integral Representation of the Bivariate Rayleigh Distribution," IEEE Communications Letters, vol. 2, May 1998, pp. 128-130.
29. Y. Chen, C. Tellambura and A. Annamalai, "Unified Performance Bounds for Generalized Selection Diversity Combining in Independent Generalized Fading Channels," Canadian Journal on Electrical and Computer Engineering: Special Issue on Advances in Wireless Communications and Networking, Vol. 29, January/April 2004, pp. 7-14.