Abstract

Abstract Owing to its superior performances, the multi-hop cellular system has drawn much attention in recent years. This paper aims to study the uplink system outage probability of the multi-hop cellular system over composite channels. Initially, we consider a composite channel model, which takes path loss, lognormal shadowing and Nakagami-m fading into account. Then, based on the amplify-and-forward relaying, the signal-to-noise ratio of each link is investigated. Further, an expression of the outage probability for a mobile station (MS) over a given position is derived after employing selective transmission scheme. After that, considering the distribution of MSs in the cellular systems, a numerical expression of the system outage probability is further obtained. Numerical results prove that the derived expression of the system outage probability can provide very good approximation to the realistic outage performance without time-intensive simulations. Moreover, it's also shown that the muilti-hop cellular system in this paper outperforms the conventional cellular system in terms of outage probability.

Highlights

  • The generation wireless communication systems will provide very high data rates and support various multimedia applications

  • The Rayleigh fading channel lacks generality. All of these previous works, [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22], did not focus on the multi-hop cellular system scenario, and these literatures did not consider the impact of the distribution of mobile station (MS) on system performance

  • In order to investigate the impact of the distributions of MS in the cellular system on system performance, we introduce a probability density function (PDF) of the distribution of MS into the final theoretical expression of the system outage probability

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Summary

Introduction

The generation wireless communication systems will provide very high data rates and support various multimedia applications. All of these previous works, [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22], did not focus on the multi-hop cellular system scenario, and these literatures did not consider the impact of the distribution of MS on system performance. We are motivated to study the system outage probability in multi-hop cellular system over composite channels. We derive the output SNR of each link, and the outage probabilities of direct transmission channel and relay transmission channels are analyzed in turn. Where N0 is the background noise power. g0 denotes the SNR of the MS-to-BS link, g1,..., gN are the SNR of the MS-to-RS links, and gN+1,..., g2N represent the SNR of the RS-to-BS links

Outage probability of direct transmission channel
Outage probability of relay transmission channel
Conclusion
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