In this article, we investigate the information-theoretical performance of a cooperative orthogonal frequency division\r\nmultiplexing (OFDM) system with imperfect channel estimation. Assuming the deployment of training-aided channel\r\nestimators, we derive a lower bound on the achievable rate for the cooperative OFDM system with amplify-andforward\r\nrelaying over frequency-selective Rayleigh fading channels. The bound is later utilized to allocate power\r\namong the training and data transmission phases. Numerical results demonstrate that the proposed power allocation\r\nscheme brings between 5 and 19% improvement depending on the level of signal-to-noise ratio and relay locations.
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