Correlated sources over broadcast channels

An alternative characterization is given for the coding theorem by Han and Costa, which finds a set of admissible source pairs that can be transmitted reliably over the broadcast channel. The associated coding technique is conceptually simpler and the resulting admissible source region can be shown to include the Gray-Wyner distributed source coding region in a straightforward manner. Incidentally, this new characterization illustrates how the common part between the two random sources does not play any role in broadcasting correlated sources, unlike transmission of correlated sources over the multiple access channel.