Relay Channels

Relay channel was firs introduced by van der Meulen [1, 2, 3]. Time sharing approaches were used to find inner bounds for the capacity. Most of the known results stem from the publication [4] by Dr. Thomas M. Cover and Dr. Abbas A. El Gammal. In this paper, capacity of degraded relay channels, relay channels with feedback is computed. Also lower bounds using Block Markov coding (decode and forward) and sideinformation coding (compress-and-forward) were calculated. A new lower bound was proposed in [5] using partial-decode and forward. More history about the relay channel is given in the introduction section of the doctoral thesis of Sina Zahedi [6]. In this report, the bounds on the capacity results [4] for the relay channel are studied. These results are in most cases the best bounds and the only known capacities of some classes of channels. Most of the material in this report is taken from [4, 7, 6]. The thesis of Dr. Sina Zahedi and the presentation slides [8] of Dr. Abbas El Gammal in MSRI 2006 are a good reference.