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On an extension of an achievable rate region for the binary multiplying channel (Corresp.)

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1 Author(s)

Shannon showed that for the binary multiplying channel (BMC) his inner and outer hounds to the capacity region differ. Schalkwijk gave a simple coding strategy that yields rate pairs (R_{1}, R_{2}) outside the Shannon inner bound region. For the case of equal rates in both directions this strategy achieves R_{1} = R_{2} = 0.6 1914 beyond Shannon's inner bound rate R_{1} = R_{2} = 0.61695 . In this correspondence it is shown that using a result by Slepian and Wolf one can bootstrap the Schalkwijk strategy to find an even larger achievable rate region. In fact, symmetric R_{1} = R_{2} operation of the BMC now yields a common rate R_{1} = R_{2} = 0.63056 .

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Information Theory, IEEE Transactions on  (Volume:29 ,  Issue: 3 )