Diversity-Multiplexing Tradeoff of the Half-Duplex Relay Channel

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We show that the diversity-multiplexing tradeoff of a half-duplex single-relay channel with identically distributed Rayleigh fading channel gains meets the 2 by 1 MISO bound. We generalize the result to the case when there are N non-interfering relays and show that the diversity-multiplexing tradeoff is equal to the N + 1 by 1 MISO bound.
8 pages, 6 figures, appeared in the 46th annual Allerton conference, September 2008

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