Theoretical Analysis of The r th Best Relay Selection for Amplify-and-Forward Systems

Amir Minayi Jalil (1) , Vahid Meghdadi (1) , Jean Pierre Cances (1) , Adel-Omar Dahmane (2)

1 XLIM-SRI - Systèmes et Réseaux Intelligents
2 UQTR - Université du Québec à Trois-Rivières

The two-hop relay network is well studied when both hops experience Rayleigh Fading channels. It is also studied when the SNR of one of the hops is the maximum among a set of i.i.d. Rayleigh Fading channels. In this paper, the two-hop relay network is analyzed when the SNR of one of the hops is the r th biggest value among a set of N i.i.d. Rayleigh Fading channels. Also we have analyzed the case when the SNR of the first hop and the second hop are respectively the r th and q th biggest values among their set. The explicit PDF and CDF and also the average error probability for both cases are calculated in closed form. The diversity order of the resulting link is also calculated. The results have several applications in the analysis diversity schemes, especially in the analysis of relay assignment based on max-min criterion.

Mots clés: Amplify-and-forward; cooperative networks; orders statistics; relay selection

Domaines: Traitement du signal et de l'image [eess.SP]; Sciences de l'ingénieur [physics]

Amir Minayi Jalil, Vahid Meghdadi, Jean Pierre Cances, Adel-Omar Dahmane. Theoretical Analysis of The r th Best Relay Selection for Amplify-and-Forward Systems. 2016. ⟨hal-02523121⟩