Synergy and Redundancy Duality Between Gaussian Multiple Access and Broadcast Channels
Xueyan Niu, Christopher Quinn,
We investigate a novel duality for scalar Gaussian multiple access channels and broadcast channels. The duality we explore is based on shared partial information quantities (e.g. synergy and redundancy). Using lattice theory, we establish a crossover correspondence of the synergistic and redundant components between these two channels. The dual channels are similar to the traditional pairs based on capacity regions, though the pairs we identify have equal transmission powers instead of a sum constraint relating transmission powers.