Approximation for Average Error Probability of BPSK in the Presence of Phase Error
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.
[1] 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.
[2] 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.
[3] 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.
[4] Y. Some, and P. Kam, "Bit-error Probability of QPSK with Noisy Phase
Reference," IEE Proceedings-Communications, vol. 142, pp 292-296,
Oct. 1995.
[5] G. Kaplan, and U. Ram, "Bounds on Performance for the Noisy
Reference PSK Channel," IEEE Transactions on Communications, Vol.
38, No. 10, Oct. 1990.
[6] B. Sklar, Digital Communications: Fundamentals and Applications,
Prentice-Hall, 2001.
[7] R. Ziemer, and W. Tranter, Principles of Communications: Systems
Modulation and Noise, Wiley, 2002.
[8] " The Wolfram functions site." [Online]. Available:
http://functions.wolfram.com
[1] 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.
[2] 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.
[3] 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.
[4] Y. Some, and P. Kam, "Bit-error Probability of QPSK with Noisy Phase
Reference," IEE Proceedings-Communications, vol. 142, pp 292-296,
Oct. 1995.
[5] G. Kaplan, and U. Ram, "Bounds on Performance for the Noisy
Reference PSK Channel," IEEE Transactions on Communications, Vol.
38, No. 10, Oct. 1990.
[6] B. Sklar, Digital Communications: Fundamentals and Applications,
Prentice-Hall, 2001.
[7] R. Ziemer, and W. Tranter, Principles of Communications: Systems
Modulation and Noise, Wiley, 2002.
[8] " The Wolfram functions site." [Online]. Available:
http://functions.wolfram.com
@article{"International Journal of Electrical, Electronic and Communication Sciences:63793", author = "Yeonsoo Jang and Dongweon Yoon and Ki Ho Kwon and Jaeyoon Lee and Wooju Lee", title = "Approximation for Average Error Probability of BPSK in the Presence of Phase Error", abstract = "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.", keywords = "Average error probability, Phase shift keying, Phase
error", volume = "5", number = "12", pages = "1927-4", }