On the Relay Channel With Receiver–Transmitter Feedback

An achievable rate for the discrete memoryless relay channel with receiver-transmitter feedback is proposed based on block-Markov superposition encoding. The achievable rate can also be extended to Gaussian channels. A second achievable rate for the Gaussian relay channel based on a Schalkwijk-Kailath type scheme is presented. For some channels both achievable rates strictly improve upon all previously known achievable rates. For the discrete memoryless relay channel also a converse result is provided.