Optimal sequential transmission over broadcast channel with nested feedback

Abstract—We consider the optimal design of sequential trans-mission over broadcast channel with nested feedback. Nested feedback means that the channel output of the outer channel is also available at the decoder of the inner channel. We model the communication system as a decentralized team with three decision makers—the encoder and the two decoders. Structure of encoding and decoding strategies that minimize a total distortion measure over a finite horizon are determined. The results are applicable for real-time communication as well as for the information theoretic setup. I. Problem formulation and main result In this paper, we study real-time broadcast of correlated sources over physically degraded channel with nested noiseless feedback. The communication system is shown in Figure 1. It operates in discrete time for a horizon T