Statistics and Error Performance of Orthogonal Frequency-Division Multiplexing over Nakagami-m Fading Channels

Peng Pan, Lie-Liang Yang and Youguang Zhang

L.-L. Yang, School of Electronics and Computer Science,
University of Southampton, SO17 1BJ, UK.
Tel: +44 (0)23 8059 3364, Fax: +44 (0)23 8059 3045
Email: lly@ecs.soton.ac.uk

P. Pan and Y. Zhang, School of Electronic and Information Engineering,
Beihang University, Beijing 100083, China
Email: panpeng@ee.buaa.edu.cn,
Email: zhangyouguang@vip.sina.com

Abstract:

In this contribution we first derive the correlation coefficient of two subcarriers in multicarrier systems using cyclic-prefixing (CP) for inter-symbol interference (ISI) suppression and inverse fast Fourier transform (IFFT)/fast Fourier transform (FFT) for multicarrier modulation/demodulation. It can be shown that two subcarriers spaced far away may experience highly correlated fading. Then, the probability density function (PDF) of fading amplitudes of subcarrier signals is derived, showing that the PDF either obeys Rayleigh distribution or appears in irregular distribution. Finally, a simple closed-form bit error rate (BER) expression is obtained for orthogonal frequency-division multiplexing (OFDM) systems. This closed-form BER expression is very general, suitable for communications environments having different frequency selectivity and possibly different channel quality.

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