In this paper, the generalization of the decode-and-forward (DF) and compress-and-forward (CF) relaying schemes is studied for the case in which Gaussian codebooks are used for signalling over scalar Gaussian memoryless channels. Three SNR regions are identified wherein the generalized DF-CF scheme reduces to either the DF or the CF scheme. In addition, it is shown that there is an SNR region in which the generalized DF-CF scheme can be more advantageous than both schemes.

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Conference 2011 IEEE Information Theory Workshop, ITW 2011
Luo, K. (Kevin), Gohary, R, & Yanikomeroglu, H. (2011). On the generalization of decode-and-forward and compress-and-forward for Gaussian relay channels. In 2011 IEEE Information Theory Workshop, ITW 2011 (pp. 623–627). doi:10.1109/ITW.2011.6089572