Single integral representations of certain integer powers of the Gaussian Q-function and their application

IEEE Communications Letters

Volumn 6, Issue 12, 2002, Pages 532-534

  Simon, Marvin K ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); ERRORS; FADING (RADIO); FUNCTION EVALUATION; INTEGRAL EQUATIONS; PROBABILITY DENSITY FUNCTION; QUADRATURE PHASE SHIFT KEYING; SIGNAL DETECTION; SIGNAL ENCODING; WHITE NOISE;

ADDITIVE WHITE GAUSSIAN NOISE; FADING CHANNELS; GAUSSIAN Q FUNCTION; INTEGER POWERS; MOMENT GENERATING FUNCTION; SINGLE INTEGRAL REPRESENTATIONS;

DIGITAL COMMUNICATION SYSTEMS;

EID: 0036950847     PISSN: 10897798     EISSN: None     Source Type: Journal    
DOI: 10.1109/LCOMM.2002.806467     Document Type: Article

References (10)

1. M. K. Simon and M.-S. Alouini. "A unified approach to the performance analysis of digital communications over generalized fading channels," Proc. IEEE, vol. 86, pp. 1860-1877, Sept. 1998.
2. J. W. Craig, "A new, simple and exact result for calculating the probability of error for two-dimensional signal constellations," in Proc. IEEE MILCOM'91 Conf. Rec., Boston, pp. 25.5.1-25.5.5.
3. R. F. Pawula, S. O. Rice, and J. H. Roberts, "Distribution of the phase angle between two vectors perturbed by Gaussian noise," IEEE Trans. Commun., vol. 30, pp. 1828-1841. Aug. 1982.
4. F. S. Weinstein, "Simplified relationships for the probability distribution of the phase of a sine wave in narrow-band normal noise," IEEE Trans. Inform. Theory, vol. IT-20. pp. 658-661, Sept. 1974.
5. A. Nuttall, "Some integrals involving the Q-function," Naval Undrwater Systems Center, New London, CT, Tech. Rep. 4297, 1972.
6. M. K. Simon and D. Divsalar, "Some new twists to problems involving the Gaussian probability integral," IEEE Trans. Commun., vol. 46, pp. 200-210, Feb. 1998.
7. I. S. Gradsteym and I. M. Ryzhik, Table of Integrals, Series and Products, 5th ed. San Diego, CA: Academic, 1994.
8. M. K. Simon and M.-S. Alouini, Digital Communication Over Fading Channels: A Uniform Approach to Performance Evaluation. New York: Wiley, 2000.
9. L.W. Hughes, "A simple upper bound on the error probability for orthogonal signals in white noise," IEEE Trans. Commun., vol. 40, no. 4, p. 670, Apr. 1992.
10. M. K. Simon, S. M. Hinedi, and W. Lindsey, Digital Communication Techniques: Signal Design and Detection, Upper Saddle River, NJ: Prentice Hall, 1995.