Capacity Region for a More General Class of Broadcast Channels

Capacity Region for a More General Class of Broadcast Channels Ghosheh Abed Hodtani Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran [email protected] AbstractWe can categorize the broadcast channels with known capacity into two groups: One group consists of broadcast channels where the receivers have different capabilities (degraded, less noisy and more capable channels); the other group consists of broadcast channels with specialized message sets (broadcast channels with degraded message sets, semi-deterministic and deterministic broadcast channels). We combine these two groups into a more general class named extended less noisy broadcast channels and determine its capacity region using Marton inner bound and the outer bound considered by Nair and El Gamal. The capacity region for this class of channels (i) includes as its sub-regions those of most previous classes and (ii) is the first capacity region for broadcast channels which involves three auxiliary random variables.