On capacity region of certain classes of three‐receiver broadcast channels with side information

Abstract

The fact that the results for 2-receiver broadcast channels (BCs) are not generalised to the 3-receiver ones is of information theoretical importance. In this study, the authors study two classes of discrete memoryless BCs with non-causal side information, that is, multilevel BC (MBC) and 3-receiver less noisy BC. First, they obtain an achievable rate region and a capacity outer bound for the MBC. Second, they provide the capacity region for a special class of 3-receiver less noisy BC. Third, the obtained special capacity region for the 3-receiver less noisy BC is evaluated for the continuous alphabet fading Gaussian version. It is worth mentioning that the previous works are special cases of the authors works.