Abstract
Orthogonal Frequency Division Multiplexing (OFDM) systems are commonly used to mitigate frequency-selective multipath fading and provide high-speed data transmission. In this paper, we derive new union bounds on the error probability of a coded OFDM system in wireless environments. In particular, we consider convolutionally coded OFDM systems employing single and multiple transmit antennas over correlated block fading (CBF) channels with perfect channel state information (CSI). Results show that the new union bound is tight to simulation results. In addition, the bound accurately captures the effect of the correlation between sub-carriers channels. It is shown that as the channel becomes more frequency-selective, the performance get better due to the increased frequency diversity. Moreover, the bound also captures the effect of multi-antenna as space diversity. The proposed bounds can be applied for coded OFDM systems employing different coding schemes over different channel models.
Similar content being viewed by others
References
Nee R., Prasad R. (2000) OFDM for wireless multimedia communications. Artech House, Norwell, MA
Weinstein S., Ebert P. (1971) Data transmission by frequency-division multiplexing using the discrete Fourier transform. IEEE Transactions on Communications 19(5): 628–634
Cimini L. (1985) Analysis and simulation of a digital mobile channel using orthogonal frequency division multiplexing. IEEE Transactions on Communications 33(7): 665–675
Hara S., Prasad R. (2003) Multicarrier techniques for 4G mobile communications. Artech House, Boston, MA
Guey J., Fitz M., Bell M., Wen-Yi K. (1999) Signal design for transmitter diversity wireless communication systems over rayleigh fading channels. Wireless Personal Communications 47: 527–537
Tarokh V., Seshadri N., Calderbank A. (1998) Space-time codes for high data rate wireless communication: Performance criterion and code construction. IEEE Transactions on Information Theory 44(2): 744–765
Alamouti S. (1998) A simple transmit diversity technique for wireless communications. IEEE Journal on Selected Areas in Communications 16(8): 1451–1458
Tarokh V., Jafarkhani H., Calderbank A. (1999) Space-time block codes from orthogonal designs. IEEE Transactions on Information Theory 45: 1456–1467
Hoshyar, R., Jamali, S., & Bahai, A. (2000). Turbo coding performance in OFDM packet transmission. IEEE Vehicular Technology Conference, VTC/Spring, 2, 805–810.
Agrawal, D., Tarokh, V., Naguib, A., & Seshadri, N. (1998). Space-time coded OFDM for high data-rate wireless communication over wideband channels, 3, 2232–2236.
Esli C., Delic H. (2006) Coded ofdm with transmitter diversity for digital television terrestrial broadcasting (corrected)*. IEEE Transactions on Broadcasting 52: 586–596
Wilson, S., Sandel, M., & Borjesson, P. (1997). Performance analysis of coded ofdm on fading channels with non-ideal interleaving and channel knowledge. IEEE International Conference on Communication, ICC, 1380–1384.
Choi, J., Yeh, P.-C., Zummo, S., & Stark, W. (2003). Performance of coded multi-carrier wideband systems over fading channels. IEEE Military Communications Conference, MILCOM, 909–914.
Zummo S., Yeh P., Stark W. (2005) A union bound on the error probability of binary codes over block-fading channels. IEEE Transactions on Vehicular Technology 54(6): 2085–2093
Harada, M. (2005). OFDM systems with trellis coded sequential modulation. IEEE Vehicular Technology Conference, VTC/Spring, 2, 1086–1090.
Viterbi A. (1971) Convolutional codes and their performance in communication systems. IEEE Transactions on Communications 19(5): 751–772
Viterbi A., Omura J. (1979) Principles of digital communication and coding. McGraw-Hill, New York
Papoulis A. (1965) Probability, random variables, and stochastic processes. McGraw-Hill, New York
Simon M., Divsalar D. (1998) Some new twists to problems involving the Gaussian probability integral. IEEE Transactions on Communications 46(2): 200–210
Ferrari, M., Scalise, F., & Bellini, S. (2002). Prunable s-random interleavers. IEEE International Conference on Communication, ICC, 3, 1711–1715.
Popovski P., Kocarev L., Risteski A. (2004) Design of flexible-length s-random interleaver for turbo codes. IEEE Communications Letters 8: 461–463
Chi, D. (1992). A new block helical interleaver. IEEE Military Communications Conference, MILCOM, 799–804.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zummo, S.A., Hassan, M.M. & Yeh, PC. A New Union Bound on the Error Probability of Binary Coded OFDM Systems in Wireless Environments. Wireless Pers Commun 60, 307–320 (2011). https://doi.org/10.1007/s11277-010-9945-3
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11277-010-9945-3