Achievable rate for amplify and forward relay system at low SNR

In this paper, the achievable rate and its approximations are studied for an Amplify-and-Forward (AF) relaying system at low signal-to-noise ratio (SNR). To characterize the effect of relay locations, an aggregate channel model with both long-term path loss and short-term fading is used. To consider the effect of channel information at the relay node, instantaneous and average amplification coefficients are applied respectively when evaluating the achievable rate. The optimal power loadings and amplification coefficients to reveal useful insight on the relay operating status for the achievable rate.

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