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Diversity-Multiplexing tradeoffs in the Rayleigh Fading Relay Channel

We study the Rayleigh fading relay channel. We first show that relay cooperation offers a small capacity increase with respect to the direct channel and then focus on studying the diversity-multiplexing tradeoff. We find a bound on the optimal diversity-rate function and establish that this bound is achieved by an adaptive version of the classical Markov coding scheme.