Exponential-type bounds on the first-order Marcum Q-function

GLOBECOM - IEEE Global Telecommunications Conference

Volumn , Issue , 2011, Pages

  Fu, Hua ^a   Kam, Pooi Yuen ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

exponential type bound; Gaussian Q function; Jensen's inequality; lower and upper bound; Marcum Q function; zeroth order modified Bessel function of the first kind

Indexed keywords

EXPONENTIAL-TYPE BOUND; GAUSSIAN Q-FUNCTION; JENSEN'S INEQUALITY; LOWER AND UPPER BOUNDS; MARCUM Q-FUNCTION; MODIFIED BESSEL FUNCTION;

COMMUNICATION;

BESSEL FUNCTIONS;

EID: 84857216005     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GLOCOM.2011.6133801     Document Type: Conference Paper

References (24)

1. J.I. Marcum, "A statistical theory of target detection by pulsed radar,"IEEE Trans. Information Theory, vol.IT-6, pp.59-267, April 1960.
2. J.M. Wozencraft and I.M. Jacobs, Principles of Communication Engineering. Prospect Heights: Waveland Press, 1990.
3. M. K. Simon and M. S. Alouini, Digital communication over fading channels, 2nd Edition, New York: John Wiley & Sons, 2005.
4. J. G. Proakis, Digital Communications, 4th edition, New York: McGraw-Hill, 2001.
5. H.L. Van Trees, Detection, Estimation and Modulation Theory: Part I and III, New York: Wiley, 1968.
6. C.W. Helstrom, Statistical Theory of Signal Detection, Oxford: Pergamon Press, 2nd Edition, 1968.
7. G. Amos, MATLAB: An Introduction with Applications, New York: John Wiley & Sons, 2nd Edition, 2004.
8. M. K. Simon and M. S. Alouini, "A unified approach to performance analysis of digital communication over generalized fading channels," Proc. IEEE, vol.48, pp.1860-1877, Sept. 1998.
9. P.Y. Kam and R. Li, "A new geometric view of the first-order Marcum Q-function and some simple tight Erfc-bounds," Proc. 63rd IEEE VTC, pp.2553-2557, Melbourne, Australia, 7-10 May, 2006.
10. P.Y. Kam and R. Li, "Computing and bounding the first-order Marcum Q-function: a geometric approach," IEEE Trans. Communications, vol.56, pp.1101-1109, July 2008.
11. P.E. Cantrell, "On the calculation of the generalized Q-function via Parl's method," IEEE Trans. Information Theory, vol.IT-32, pp.817-824, November 1986.
12. R. F. Pawula, "A new formula for MDPSK symbol error probability,"IEEE Communication Letter, vol.2, pp.271-272, October 1998.
13. M. Chiani, "Integral representation and bounds for Marcum Q-function,"IEE Electronics Letter, vol.35, pp.445-446, March 1999.
14. C.W. Helstrom, Elements of Signal Detection and Estimation, Englewood Cliffs, NJ: Prentice-Hall, 1995
15. D.A. Shnidman, "The calculation of the probability of detection and the generalized Marcum Q-function," IEEE Trans. Information Theory, vol.35, pp.389-400, March 1989.
16. M. K. Simon and M. S. Alouini, "Exponential-type bounds on the generalized Marcum Q-function with application to error probability analysis over fading channels," IEEE Trans. Communications, vol.48, pp.359-366, March 2000.
17. A. Annamalai and C. Tellambura, "Cauchy-Schwarz bound on the generalized Marcum Q-function," Wireless Commun. Mobile Computation, vol.1, pp.243-253, January 2001. (Pubitemid 33687950)
18. G.E. Corazza and G.Ferrari, "New bounds for the Marcum Q-function,"IEEE Trans. Information Theory, vol.48, pp.3003-3008, November 2002.
19. P.Y. Kam and R. Li "Generic exponential bound and erfc-bounds on the Marcum Q-function via the geometric approach," Proc. IEEE GLOBECOM 2006, session WLC10-1, San Francisco, USA, 21 November - 1 December, 2006.
20. P.Y. Kam and R. Li, "Simple tight exponential bounds on the first-order Marcum Q-function via the geometric approach," Proc. IEEE ISIT 2006, pp.1085-1089, Sea, DC, USA, 26-30 November, 200
21. M.K. Simon, "A new twist on the Marcum Q-function and its application,"IEEE Communication Letter, vol.2, pp.39-41, February 1998. (Pubitemid 128610697)
22. D.A. Shnidman, "Efficient evaluation of probabilities of detection and the generalized Q-function," IEEE Trans. Information Theory, vol.IT-22, pp.746-751, November 1976.
23. I.S. Gradshteyn and I.M. Ryzhik Table of integrals, series, and products, 7th Edition, San Diego: Academic Press, 2007.
24. M. Chiani, D. Dardari and M.K. Simon "New exponential bounds and approximations for the computation of error probability in fading channels,"IEEE Trans. Wireless Communications, vol.2, pp.840-845, July 2003.