PROJECT TITLE :

Duality of a Source Coding Problem and the Semi-Deterministic Broadcast Channel With Rate-Limited Cooperation

ABSTRACT:

The Wyner–Ahlswede–Körner (WAK) empirical-coordination downside where the encoders cooperate via a finite-capability one-sided link is considered. The coordination-capacity region is derived by combining many source coding techniques, like Wyner–Ziv coding, binning, and superposition coding. Furthermore, a semi-deterministic (SD) broadcast channel (BC) with one-sided decoder cooperation is considered. Duality principles relating the 2 issues are presented, and the capacity region for the SD-BC setting is derived. The direct part follows from an achievable region for a general BC that is tight for the SD state of affairs. A converse is established by using telescoping identities. The SD-BC is shown to be operationally reminiscent of a class of relay-BCs, and therefore the correspondence between their capability regions is established. The capacity region of the SD-BC is transformed into the same region that's shown to be dual to the admissible region of the WAK problem in the way that the information measures defining the corner points of each regions coincide. Achievability and converse proofs for the equivalent region are provided. For the converse, we have a tendency to use a probabilistic construction of auxiliary random variables that depends on the distribution induced by the codebook. Many examples illustrate the results.