Novel expressions for the Marcum and one dimensional Q-functions

Proceedings of the 2010 7th International Symposium on Wireless Communication Systems, ISWCS'10

Volumn , Issue , 2010, Pages 736-740

  Sofotasios, Paschalis C ^a   Freear, Steven ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM; COMPUTATIONAL ALGORITHM; DIGITAL COMMUNICATIONS; MARCUM Q-FUNCTION; MATHEMATICAL TOOLS; PERFORMANCE EVALUATION; Q-FUNCTIONS;

COMMUNICATION SYSTEMS; DIGITAL COMMUNICATION SYSTEMS; FADING (RADIO); GLOBAL SYSTEM FOR MOBILE COMMUNICATIONS; ONE DIMENSIONAL; WIRELESS TELECOMMUNICATION SYSTEMS;

FADING CHANNELS;

EID: 78650167029     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISWCS.2010.5624374     Document Type: Conference Paper

References (22)

1. J. G. Proakis, Digital Communications, 3rd ed. New York: McGraw - Hill, 1995.
2. M. K. Simon and M. -S. Alouni, Digital Communication over Fading Channels, New York: Wiley, 2005
3. J. I. Marcum, Table of Q-functions, U.S. Air Force Project RAND Res. Memo. M-339, ASTIA document AD 1165451 , RAND Corp., Santa Monica, CA, 1950.
4. A. H. Nuttall, Some integrals involving the Q-Function, Naval underwater systems center, New London Lab, New London, CT, 4297, 1972
5. M.K. Simon, A new twist on the Marcum Q-function and its application, IEEE Comm. Lett., vol. 2, no. 2, pp. 39-41, Feb. 1998
6. M.K. Simon, The Nuttall Q-function - its relation to the Marcum Q-function and its application in digital communication performance evaluation, IEEE Trans. Commun., vol. 50, no. 11, pp. 1712-1715, Nov. 2002
7. M.K. Simon, M.S. Alouini, Exponential-Type Bounds on the Generalized Marcum Q-Function with Application to Error Probability over Fading Channels, IEEE Trans. Commun., vol. 48, no. 3, pp. 359-366, Mar. 2000
8. R. Li and P. Y. Kam, Computing and bounding the generalized Marcum Q-function via a geometric approach, ISIT 2006, Seattle, USA, pp. 1090-1094, July 2006
9. V. M. Kapinas, S. K. Mihos, and G. K. Karagiannidis, On the monotonicity of the generalized Marcum and Nuttall Q-functions, IEEE Trans. Inf. Theory, vol. 55, no. 8, pp. 3701-3710, Aug. 2009
10. A. Baricz, Y. Sun, New Bounds for the Generalized Marcum Q-Function, IEEE Trans. Inf. Theory, vol. 55, no. 7, pp. 3091-3100, July 2008
11. th CCVC. 2009, pp. 1-5, 2009
12. P. O. Borjesson and C.-E. W. Sundberg, Simple approximations of the error function Q(x) for communications applications, IEEE Trans. Commun., vol. COM-27, no. 3, pp. 644646, Mar. 1979.
13. 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 Commun., vol. 2, no. 4, pp. 840845, Jul. 2003.
14. G. K. Karagiannidis and A. S. Lioumpas, An Improved Approximation for the Gaussian Q-Function, IEEE Commun. Lett., vol. 11, no. 8, pp. 639643, Aug. 2007.
15. J. S. Dyer and S. A. Dyer, Corrections to, and comments on, An improved approximation for the Gaussian Q function,, IEEE Commun. Lett., vol. 12, p. 231, Apr. 2008.
16. Y. Isukapalli and B. D. Rao, An Analytically Tractable Approximation for the Gaussian Q-Function, IEEE Commun. Lett., vol. 12, no. 9, pp. 639643, Sep. 2008.
17. P. Loskot and N. C. Beaulieu, Prony and Polynomial Approximations for Evaluation of the Average Probability of Error Over Slow-Fading Channels, IEEE Trans. Vehicular Technology, vol. 58, No. 3, pp. 12691280, Mar. 2009
18. th ed. New York: Academic, 2007.
19. m Bessel functions, Elsevier journal of Applied Mathematics and Computation, Vol. 183, pp. 1220 1225, 2006
20. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables., New York: Dover, 1974.
21. C. C. Tan and N. C. Beaulieu, Infinite Series Representations of the Bivariate Rayleigh and Nakagami-m Distributions, IEEE Trans. on Commun, vol. 45, No. 10, pp. 1159-1161, Oct. 1997
22. G. K. Karagiannidis, D. A. Zogas, S. A. Kotsopoulos, An Efficient Approach to Multivariate Nakagami-m Distribution Using Greens Matrix Approximation, IEEE Trans. on Wirel. Commun, vol. 2, No. 5, pp. 883-889, Sep. 2003