The Asymptotic Performance of Three-Hop Relay Communication using Amplify-and-Forward

Conference: SCC'08 - 7th International ITG Conference on Source and Channel Coding
01/14/2008 - 01/16/2008 at Ulm, Germany

Proceedings: SCC'08

Pages: 6Language: englishTyp: PDF

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Wyrembelski, Rafael F.; Boche, Holger (Technical University of Berlin, Heinrich-Hertz-Chair for Mobile Communications, Einsteinufer 25, D-10587 Berlin, Germany)
Oechtering, Tobias J.; Boche, Holger (German-Sino Mobile Communications Lab at Fraunhofer Institute for Telecommunications, Heinrich-Hertz-Institut, Einsteinufer 37, D-10587 Berlin, Germany)

In this work, we consider a point-to-point transmission scenario, where a source node transmits information to a destination node via two amplify-and-forward half-duplex relay nodes. We derive the asymptotic upper bound ln2(P)/P on the pairwise error probability of the maximum-likelihood detection. Further, we show that this leads to a degradation of the diversity as 1-2 ln ln(P)/ ln(P) due to the additional noise of the relay nodes. The results are confirmed by simulations.