Nonanticipative Duality of Sources and Channels with Memory and Feedback

Building on the material of previous chapters, a duality of sources and channels, both with memory and feedback is investigated, based on nonanticipative transmission, with respect to excess distortion probability. The methodology is based on (i) identifying the information structures of capacity achieving channel distributions, and encoder functions and (ii) identifying the information structures of optimal reproduction distributions of the nonanticipative rate–distortion function (RDF). An example is presented of a source with memory and a channel with memory, operating optimally, in real-time.