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An achievable rate region for the broadcast channel

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1 Author(s)

Let p(y_1, y_2 \mid x) denote a discrete memoryless channel with a single source X and two independent receivers Y_1 and Y_2 . We exhibit an achievable region of rates (R_{11},R_{12},R_{22}) at which independent information can be sent, respectively, to receiver 1, to both receivers 1 and 2, and to receiver 2. The achievability of the region is shown by using a version of the asymptotic equipartition property involving many simultaneous "typicality" constraints. These results immediately generalize to yield an achievable rate region for the m -sender n -receiver channel in terms of standard mutual information quantities.

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Information Theory, IEEE Transactions on  (Volume:21 ,  Issue: 4 )