Multi-user Gaussian Channels with Noisy Feedback

This lecture explores the challenges and opportunities of multi-user Gaussian channels with noisy feedback, presenting a new mathematical framework to study these channels. Starting with a point-to-point channel with passive noisy feedback, the instructor introduces a new idea to analyze various multi-user Gaussian channels with active noisy feedback, such as MAC, broadcast, relay, MIMO, and interference channels. The talk delves into the advantages of feedback, the complexities of decentralized stochastic control, and the implications of noisy feedback on communication systems. The lecture concludes with discussions on dynamic programming for power constraints and the potential applications of the presented framework.