Exact Evaluation Method for Error Performance Analysis of Arbitrary 2-D Modulation OFDM Systems with CFO

Authors: Jaeyoon Lee, Dongweon Yoon, Hoon Yoo, Sanggoo Kim

Abstract:

Orthogonal frequency division multiplexing (OFDM) has developed into a popular scheme for wideband digital communications used in consumer applications such as digital broadcasting, wireless networking and broadband internet access. In the OFDM system, carrier frequency offset (CFO) causes intercarrier interference (ICI) which significantly degrades the system error performance. In this paper we provide an exact evaluation method for error performance analysis of arbitrary 2-D modulation OFDM systems with CFO, and analyze the effect of CFO on error performance.

Keywords: Carrier frequency offset, Probability of error, Inter-channel interference, Orthogonal frequency division multiplexing

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1058875

References:

[1] R. Nee and R. Prasad, OFDM for Wireless Multimedia Communications. Boston, MA: Artech House, 2000.
[2] T. Pollet, M. V. Bladel, and M. Moeneclaey, "BER sensitivity of OFDM systems to carrier frequency offset and Wiener phase noise," IEEE Trans. Commun., vol. 43, no. 2/3/4, pp. 191-193, Feb./Mar./Apr. 1995.
[3] B. Stantchev and G. Fettweis, "Time-variant distortions in OFDM," IEEE Commun. Lett., vol. 4, no. 10, pp. 312-314, Sept. 2000.
[4] Y. Zhao and S. G. Häggman. "Sensitivity to Doppler shift and carrier frequency errors in OFDM systems--The consequences and solutions," in Proc. IEEE 46th Vehicular Technology Conf., vol. 3, pp. 1564-1568, Apr. 1996.
[5] Y. Zhao and S. G. Häggman, "BER analysis of OFDM communication systems with intercarrier interference," in Proc. IEEE Int. Conf. Communication Technology, Beijing, China, vol. 2, pp. 1-5, Oct. 1998.
[6] K. Sathananthan and C. Tellambura, "Probability of error calculation of OFDM systems with frequency offset," IEEE Trans. Commun., vol. 49, no. 11, pp. 1884-1888, Nov. 2001.
[7] L. Rugini and P. Banelli, "BER of OFDM systems impaired by carrier frequency offset in multipath fading channels," IEEE Trans. Wireless. Commun., vol. 4, no. 5, pp. 2279-2288, Sept. 2005.
[8] P. Dharmawansa, N. Rajatheva, and H. Minn, "An exact error probability analysis of OFDM systems with frequency offset," IEEE Trans. Commun., vol. 57, no. 1, Jan. 2009.
[9] R. U. Mahesh and A. K. Chaturvedi, "Closed form BER expressions for BPSK OFDM systems with frequency offset," IEEE Commun. Lett., vol. 14, no. 8, pp. 731-733, Aug. 2010.
[10] J. Lee, D. Yoon, and K. Hyun, "Exact and general expression for the error probability of arbitrary two-dimensional signaling with I/Q amplitude and phase unbalances," IEICE Trans. Commun., vol. E89-B, no.12, pp. 3356-3362, Dec. 2006.
[11] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series: U.S. Department of Commerce, 1982.
[12] I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. New York: Academic, 1980.
[13] X. Dong, N. C. Beaulieu, and P. H. Wittke, "Signaling constellations for fading channels," IEEE Trans. Commun., vol. 47, no. 5, pp. 703-714, May 1999.
[14] L. Szczecinski, S. Aïssa, C. Gonzalez, and M. Bacic, "Exact evaluation of bit- and symbol-error rates for arbitrary 2-D modulation and nonuniform signaling in AWGN channel," IEEE Trans. Commun., vol. 54, no. 6, pp. 1049-1056, June 2006.
[15] J. Lassing, E. G. Strom, E. Agrell, and T. Ottosson, "Computation of the exact bit-error rate of coherent M-ary PSK with Gray code bit mapping," IEEE Trans. Commun., vol. 51, no. 11, pp. 1758-1760, Nov. 2003.
[16] M. K. Simon, "A simpler form of the Craig representation for the two-dimensional joint Gaussian Q-function," IEEE Commun. Lett., vol. 6, no. 2, pp. 49-51, Feb. 2002.
[17] L. Szczecinski, H. Xu, X. Gao, and R. Bettancourt, "Efficient evaluation of BER for arbitrary modulation and signaling in fading channels," IEEE Trans. Commun., vol. 55, no. 11, Nov. 2007.
[18] J. Lee, D. Yoon, and S. K. Park, "Performance analysis of error probabilities for arbitrary 2-D signaling with I/Q unbalances over Nakagami-m fading channels," IEICE Trans. Commun., vol. E91-B, no. 1, Jan. 2008.