An achievable rate region for the broadcast channel

  • Authors:

  • T. Cover

  • Affiliations:

  • -

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

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.