A New Union Bound on the Error Probability of Binary Coded OFDM Systems in Wireless Environments

Authors:
Salam A. Zummo;Matasm M. Hassan;Ping-Cheng Yeh
Affiliations:
Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia 31261;Electrical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia 31261;Department of Electrical Engineering and Graduated Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan 106
Venue:
Wireless Personal Communications: An International Journal
Year:
2011

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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.