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An achievable rate region for the broadcast channel

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1 Author(s)

Letp(y_1, y_2 mid x)denote a discrete memoryless channel with a single sourceXand two independent receiversY_1andY_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 them-sendern-receiver channel in terms of standard mutual information quantities.

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