Achievable rates of the amplify-and-forward strategy for the Gaussian relay channel

We present achievable rates of the amplify-and-forward (AF) cooperative strategy for the Gaussian relay channel. In our analysis we consider both full-duplex and half-duplex modes of operation of the relay channel, assuming that perfect transmit channel state information (CSI) is available at the transmitter and relay. These rates are compared under different channel conditions to their corresponding upper capacity bounds and to the rate of direct transmission in order to investigate when it is beneficial to use AF relaying.