Abstract

Wireless communication is now accessible throughout the world, with an increasing number of users. Engineers are putting extra efforts to evaluate and improve the performance of wireless systems. Multi-hop wireless systems have drawn significant attention as a cost-effective solution to improve the performance of wireless systems. In these systems, a certain number of relays is deployed over the cell to help in the transmission of signals from the base station (BS) to the users. In a multi-hop system, a low-quality long-distance link is broken into two or more better-quality links, minimising the outage probability and enhancing the system performance. Interference is one of the fundamental elements affecting the quality of service in wireless networks. The probability density function (PDF) of the signal-to-interference ratio (SIR) is evaluated in a circular cell with uniformly distributed users around a BS located at the centre of the cell. Then, the PDF for outage probability is assessed, based on the evaluated SIR. After that, the minimum number of relays and their placement is found over the studied area, which can achieve the desirable performance of the wireless system. Finally, simulation is performed based on long-term evolution parameters to validate the derived analytical solution.

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