ETRI Journal

Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Noncentral F-Distribution for an M-ary Phase Shift Keying Wedge-Shaped Region

  • Kim, Jung-Su (Department of Electronics and Communication Engineering, Hanyang University, Channel Development Team, S.LSI Division, Samsung Electronics) ;
  • Chong, Jong-Wha (Department of Electronics and Communication Engineering, Hanyang University)
  • Received : 2008.11.30
  • Accepted : 2009.03.11
  • Published : 2009.06.30
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Abstract

This letter presents an alternative analytical expression for computing the probability of an M-ary phase shift keying (MPSK) wedge-shaped region in an additive white Gaussian noise channel. The expression is represented by the cumulative distribution function of known noncentral F-distribution. Computer simulation results demonstrate the validity of our analytical expression for the exact computation of the symbol error probability of an MPSK system with phase error.

Keywords

References

  1. 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. COM-30, no. 8, Aug. 1982, pp. 1828-1841.
  2. R.F. Pawula, “Distribution of the Phase Angle between Two Vectors Perturbed by Gaussian Noise II,” IEEE Trans. Veh. Technol., vol. 50, no. 2, Mar. 2001, pp. 576-583. https://doi.org/10.1109/25.923069
  3. S. Park and S.H. Cho, “Probability of an Arbitrary Wedge-Shaped Region of the MPSK System in the Presence of Quadrature Error,” IEEE Commun. Lett., vol. 6, no. 2, Feb. 2005, pp. 196-197.
  4. S. Park and S.H. Cho, “Computing the Average Symbol Error Probability of the MPSK System Having Quadrature Error,” ETRI Journal, vol. 28, no. 6, Dec. 2006, pp.793-795. https://doi.org/10.4218/etrij.06.0206.0137
  5. Matwork Inc., MATLAB User's Guides, version 7.0, 2006.
  6. R. Price, “Some Non-central F Distributions Expressed in Closed Forms,” Biometrika, vol. 51, no. 1-2, 1964, pp. 107-122. https://doi.org/10.1093/biomet/51.1-2.107