Exponential-type bounds on the generalized Marcum Q-function with application to error probability analysis over fading channels

IEEE Transactions on Communications

Volumn 48, Issue 3, 2000, Pages 359-366

  Simon, Marvin K ^a   Alouini, Mohamed Slim ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); ERROR ANALYSIS; FADING (RADIO); PROBABILITY;

FADING CHANNELS;

RADIO COMMUNICATION;

EID: 0033887180     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/26.837036     Document Type: Article

References (20)

1. J. I. Marcum, Table of Q functions, Rand Corporation, Santa Monica, CA, ASTIA Document AD 1165451, Jan. 1950.
2. J. G. Proakis, Digital Communications, 3rd ed. New York: McGraw-Hill, 1995.
3. M. Schwartz, W. R. Bennett, and S. Stein, Communication Systems and Techniques. New York: McGraw-Hill, 1966.
4. M. K. Simon, S. M. Hinedi, and W. C. Lindsey, Digital Communication Techniques - Signal Design and Detection, M. Reichert and J. H. Young, Eds. Englewood Cliffs, NJ: Prentice-Hall, May 1995, vol. 26, ch. 26, pp. 228-235.
5. J. I. Marcum and P. Swerling, Studies of target detection by pulsed radar, IEEE Trans. Inform. Theory, vol. IT6, pp. 227-228, Apr. 1960.
6. C. W. Helstrom, Elements of Signal Detection and Estimation. Englewood Cliffs, NJ: Prentice-Hall, 1995.
7. M. K. Simon, A new twist on the Marcum Q-function and its applications, IEEE Commun. Lett., vol. 2, pp. 39-11, Feb. 1998.
8. R. F. Pawula, A new formula for MDPSK symbol error probability, IEEE Commun. Lett., vol. 2, pp. 271-272, Oct. 1998.
9. M. K. Simon and M.-S. Alouini, A unified approach to the performance analysis of digital communications over generalized fading channels, in Proc. IEEE, vol. 86, Sept. 1998, pp. 1860-1877.
10. M. K. Simon and M.-S. Alouini, A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels, IEEE Trans. Commun., vol. 46, pp. 1625-1638, Dec. 1998.
11. M. Chiani, Integral representation and bounds for Marcum Q-function, Electron. Lett., vol. 35, pp. 445-446, Mar. 1999.
12. D. A. Shnidman, Efficient evaluation of probabilities of detection and the generalized Q-function, IEEE Trans. Inform. Theory, vol. IT22, pp. 746-751, Nov. 1976.
13. S. Parl, A new method of calculating the generalized Q function, IEEE Trans. Inform. Theory, vol. IT26, pp. 121-124, Jan. 1980.
14. P. E. Cantrell, On the calculation of the generalized Q function via Parl's method, IEEE Trans. Inform. Theory, vol. IT32, pp. 817-824, Nov. 1986.
15. P. E. Cantrell and A. K. Ojha, Comparison of generalized Q function algorithms, IEEE Trans. Inform. Theory, vol. IT33, pp. 817-824, July 1987.
16. D. A. Shnidman, The calculation of the probability of detection and the generalized marcum Q-function, IEEE Trans. Inform. Theory, vol. 35, pp. 389-100, Mar. 1989.
17. D. A. Shnidman, See also Note on Calculation of the probability of detection and the generalized Marcum Q-function, IEEE Inform. Theory, vol. 37, p. 1233, July 1991.
18. S. S. Rappaport, Computing approximations for the generalized Q function and its complement, IEEE Trans. Inform. Theory, vol. IT17, pp. 497-198, July 1971.
19. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th ed. New York: Dover, 1970.
20. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic, 1994.