Published December 26, 2011 | Version 14794
Journal article Open

Approximation for Average Error Probability of BPSK in the Presence of Phase Error

Description

Phase error in communications systems degrades error performance. In this paper, we present a simple approximation for the average error probability of the binary phase shift keying (BPSK) in the presence of phase error having a uniform distribution on arbitrary intervals. For the simple approximation, we use symmetry and periodicity of a sinusoidal function. Approximate result for the average error probability is derived, and the performance is verified through comparison with simulation result.

Files

14794.pdf

Files (235.3 kB)

Name Size Download all
md5:89889ec5699d97c4c58571bfac3ff9f4
235.3 kB Preview Download

Additional details

References

  • A. Demir, A. Mehrota, and J. Roychowdhury, "Phase Noise in Oscillators: A Unifying Theory and Numerical Methods for Characterization," IEEE Transactions on Circuit and Systems, Vol. 47, No. 5, pp 655-674, May 2000.
  • A. Armada, and M. Calvo, "Phase Noise and Sub-Carrier Spacing Effects on the Performance of an OFDM Communication System," IEEE Communications Letters, Vol. 2, No. 1, Jan. 1998.
  • M. Najib, "Lower Bound on Error Performance for BPSK and QPSK Systems with Imperfect Phase Recovery," IEEE International Conference on Communications, pp 1253-1258, Atlanta, USA, Jun. 1998.
  • Y. Some, and P. Kam, "Bit-error Probability of QPSK with Noisy Phase Reference," IEE Proceedings-Communications, vol. 142, pp 292-296, Oct. 1995.
  • G. Kaplan, and U. Ram, "Bounds on Performance for the Noisy Reference PSK Channel," IEEE Transactions on Communications, Vol. 38, No. 10, Oct. 1990.
  • B. Sklar, Digital Communications: Fundamentals and Applications, Prentice-Hall, 2001.
  • R. Ziemer, and W. Tranter, Principles of Communications: Systems Modulation and Noise, Wiley, 2002.
  • " The Wolfram functions site." [Online]. Available: http://functions.wolfram.com