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We consider the two scenarios of communicating a pair S1, S2 of distributed correlated sources over 2-user multiple access (MAC) and interference channels (IC), respectively. While in the MAC problem, the receiver needs to reconstruct both sources, in the IC problem, receiver j needs to reconstruct S3. We undertake a Shannon theoretic study and focus on characterizing sufficient conditions. Building on Dueck's findings (1981), we propose a coding scheme based on fixed block-length (B-L) codes. We characterize its information theoretic performance and characterize a new set of sufficient conditions. We identify examples of the MAC and IC problems for which the latter conditions are proven to be strictly weaker than the current known tightest.

Communicating Correlated Sources Over MAC and Interference Channels I: Separation-Based Schemes