# Multiple Relay Selection and Beamforming in Dual-Hop Amplify-and-Forward Relay Networks

Ala Gouissem, Lutfi Samara, Ridha Hamila, Naofal Al-Dhahir, Sebti Foufou

Research output: Contribution to journalArticle

### Abstract

In this paper, the problems of multiple relay selection and beamforming optimization are considered for a dual-hop amplify-and-forward relaying network under individual and total power constraints. The selection is performed based on maximizing the signal-to-noise ratio with computationally efficient algorithms. For the individual power constraint case, an iterative selection technique based on the use of the squared <formula><tex>$\ell _1$</tex></formula>-norm is proposed and investigated. We demonstrate that the proposed technique can converge to the same suboptimal solution proposed in the literature with up to <formula><tex>$80\%$</tex></formula> reduction in the number of iterations. Furthermore, we derive numerical suboptimal beamforming and relay selection solutions based on eigenvalue decomposition for both total and individual power constraints without the need for solving semidefinite programing problems.

Original language English (US) IEEE Systems Journal https://doi.org/10.1109/JSYST.2018.2869853 Accepted/In press - Jan 1 2018

### Fingerprint

Beamforming
Signal to noise ratio
Decomposition

### Keywords

• Array signal processing
• Beamforming
• eigenvalue decomposition
• l1-norm
• optimization
• Protocols
• Relay networks (telecommunications)
• relaying
• semidefinite relaxation
• Signal to noise ratio
• Transmitting antennas
• Wireless communication

### ASJC Scopus subject areas

• Control and Systems Engineering
• Electrical and Electronic Engineering

### Cite this

Multiple Relay Selection and Beamforming in Dual-Hop Amplify-and-Forward Relay Networks. / Gouissem, Ala; Samara, Lutfi; Hamila, Ridha; Al-Dhahir, Naofal; Foufou, Sebti.

In: IEEE Systems Journal, 01.01.2018.

Research output: Contribution to journalArticle

Gouissem, Ala ; Samara, Lutfi ; Hamila, Ridha ; Al-Dhahir, Naofal ; Foufou, Sebti. / Multiple Relay Selection and Beamforming in Dual-Hop Amplify-and-Forward Relay Networks. In: IEEE Systems Journal. 2018.
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AU - Foufou, Sebti

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